{"id":933,"date":"2023-08-05T11:24:05","date_gmt":"2023-08-05T08:24:05","guid":{"rendered":"https:\/\/bagrut-ru.com\/?p=933"},"modified":"2025-09-04T17:43:41","modified_gmt":"2025-09-04T14:43:41","slug":"%d0%b1%d0%b0%d0%b3%d1%80%d1%83%d1%82-5-%d0%bb%d0%b5%d1%82%d0%be-2023-%d0%b2%d0%b0%d1%80%d0%b8%d0%b0%d0%bd%d1%82-35582-%d0%b7%d0%b0%d0%b4%d0%b0%d0%bd%d0%b8%d0%b5-4","status":"publish","type":"post","link":"https:\/\/bagrut-ru.com\/?p=933","title":{"rendered":"\u0411\u0410\u0413\u0420\u0423\u0422 (5). \u041b\u0415\u0422\u041e 2023, \u0412\u0410\u0420\u0418\u0410\u041d\u0422 35582, \u0417\u0410\u0414\u0410\u041d\u0418\u0415 4"},"content":{"rendered":"\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"552\" data-id=\"934\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/07\/78-1024x552.png\" alt=\"\" class=\"wp-image-934\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/07\/78-1024x552.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/07\/78-300x162.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/07\/78-768x414.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/07\/78.png 1292w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"697\" data-id=\"935\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/07\/79-1024x697.png\" alt=\"\" class=\"wp-image-935\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/07\/79-1024x697.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/07\/79-300x204.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/07\/79-768x523.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/07\/79.png 1422w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/meyda.education.gov.il\/sheeloney_bagrut\/2023\/6\/RUS\/35582.pdf\" data-type=\"link\" data-id=\"https:\/\/meyda.education.gov.il\/sheeloney_bagrut\/2023\/6\/RUS\/35582.pdf\">\u0438\u0441\u0442\u043e\u0447\u043d\u0438\u043a<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spoiler-wrap\">\n\t\t\t\t<div class=\"spoiler-head folded\">\u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/div>\n\t\t\t\t<div class=\"spoiler-body\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"><strong>(\u05d0)<\/strong><\/mark> <strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">(1)<\/mark><\/strong> \u041d\u0430\u0439\u0434\u0435\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)=(e^x-1)^n-4\\) \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u043d\u043e\u0439 \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \\(x\\), \u0433\u0434\u0435 \\(n \\in N, \\ n\\ge 2\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434 \\(y=y_0\\), \u0433\u0434\u0435 \\(y_0\\) &#8212; \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435, \u043a \u043a\u043e\u0442\u043e\u0440\u043e\u043c\u0443 \u0441\u0442\u0440\u0435\u043c\u0438\u0442\u0441\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0435\u0441\u043b\u0438 \\(x\\) \u0441\u0442\u0440\u0435\u043c\u0438\u0442\u0441\u044f \u043a \\(\\infty\\) \u0438\u043b\u0438 \u043a \\(-\\infty\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> \u0415\u0441\u043b\u0438 \\(x \\rightarrow\\infty\\), \u0442\u043e \\(e^x \\rightarrow\\infty\\),  \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\((e^x -1)^n\\rightarrow\\infty\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\((e^x -1)^n-4\\rightarrow \\infty\\). \u0422\u043e \u0435\u0441\u0442\u044c \u043f\u0440\u0438 \\(x \\rightarrow\\infty\\) \u0444\u0443\u043d\u043a\u0446\u0438\u044f \\(f(x)=(e^x-1)^n-4\\) \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> \u0415\u0441\u043b\u0438 \\(x  \\rightarrow-\\infty\\), \u0442\u043e \\(e^x \\rightarrow 0\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\(e^x -1 \\rightarrow-1\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0415\u0441\u043b\u0438 \\(n\\) &#8212; \u0447\u0435\u0442\u043d\u043e\u0435, \u0442\u043e  \\((e^x -1 )^n\\rightarrow1\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\(f(x)=(e^x-1)^n-4 \\rightarrow-3\\) <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0415\u0441\u043b\u0438 \\(n\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435, \u0442\u043e \\((e^x -1 )^n\\rightarrow-1\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\(f(x)=(e^x-1)^n-4 \\rightarrow-5\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442<\/em>: \u0435\u0441\u043b\u0438 \\(x \\rightarrow-\\infty\\) \u0438 \\(n\\) &#8212; \u0447\u0435\u0442\u043d\u043e\u0435, \u0442\u043e \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u0430\u044f \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u0430 \\(y=-3\\), \u0435\u0441\u043b\u0438 \\(x \\rightarrow-\\infty\\) \u0438 \\(n\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435, \u0442\u043e \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u0430\u044f \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u0430 \\(y=-5\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">(2)<\/mark><\/strong> \u041d\u0430\u0439\u0434\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u0435\u043a \u044d\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c\u0430.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430\u0439\u0434\u0435\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)=(e^x-1)^n-4\\) <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(f'(x)=((e^x-1)^n-4)&#8217;=((e^x-1)^n)&#8217;-4&#8217;=n(e^x-1)^{n-1}\\cdot (e^x)&#8217;=n(e^x-1)^{n-1}\\cdot e^x\\) <\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u0415\u0441\u043b\u0438 \\(n\\) &#8212; \u0447\u0435\u0442\u043d\u043e\u0435, \u0442\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \\(n-1\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435, \u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f'(x)=n(e^x-1)^{n-1}\\cdot e^x\\)  \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a \u0441 &#171;-&#187; \u043d\u0430 &#171;+&#187; \u0432 \u0442\u043e\u0447\u043a\u0435 \\(x=0\\). \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \\(x=0\\) &#8212; \u0442\u043e\u0447\u043a\u0430 \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430. \\(f(0)=(e^0-1)^n-4=-4\\). \u041f\u0440\u0438 \\(x&lt;0\\) \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0443\u0431\u044b\u0432\u0430\u0435\u0442, \u043f\u0440\u0438 \\(x&gt;0\\) \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u0435\u0442. <\/li>\n\n\n\n<li>\u0415\u0441\u043b\u0438 \\(n\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435, \u0442\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \\(n-1\\) &#8212; \u0447\u0435\u0442\u043d\u043e\u0435, \u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f'(x)=n(e^x-1)^{n-1}\\cdot e^x\\ge 0 \\) \u043f\u0440\u0438 \u043b\u044e\u0431\u043e\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438 \\(x\\). \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u0438 \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u043c \\(n\\) \u0444\u0443\u043d\u043a\u0446\u0438\u044f  \\(f(x)\\) \u043d\u0435 \u0443\u0431\u044b\u0432\u0430\u0435\u0442 \u043f\u0440\u0438 \u043b\u044e\u0431\u043e\u043c \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u043c \\(x\\), \u0438 \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u0442\u043e\u0447\u0435\u043a \u044d\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c\u0430.    <\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">(3)<\/mark><\/strong> \u041d\u0430\u0439\u0434\u0435\u043c \u0442\u043e\u0447\u043a\u0443 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)=(e^x-1)^n-4\\) \u0441 \u043e\u0441\u044c\u044e \\(Y\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(f(0)=(e^0-1)^n-4=-4\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0427\u0442\u043e\u0431\u044b \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u044d\u0441\u043a\u0438\u0437 \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(f(x)=(e^x-1)^n-4\\), \u043d\u0430\u0439\u0434\u0435\u043c \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0433\u0438\u0431\u0430. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0430\u0439\u0434\u0435\u043c \u0432\u0442\u043e\u0440\u0443\u044e \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0442\u043e \u0435\u0441\u0442\u044c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0443\u044e \u043e\u0442 \u043f\u0435\u0440\u0432\u043e\u0439 \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u043e\u0439. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\((f'(x))&#8217;=(n(e^x-1)^{n-1}\\cdot e^x)&#8217;=n((n-1)(e^x-1)^{n-2} \\cdot e^x \\cdot e^x+(e^x-1)^{n-1}\\cdot e^x)=\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(=n(e^x-1)^{n-2}\\cdot e^x((n-1) \\cdot e^x+e^x-1)=n(e^x-1)^{n-2}\\cdot e^x(n \\cdot e^x-e^x+e^x-1)=\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(=n(e^x-1)^{n-2}\\cdot e^x(n \\cdot e^x-1)\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0412 \u044d\u0442\u043e\u043c \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0438 \\(n\\ge 2,\\  e^x&gt;0,\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0415\u0441\u043b\u0438 \\(n\\) &#8212; \u0447\u0435\u0442\u043d\u043e\u0435, \u0442\u043e \\((e^x-1)^{n-2}\\ge 0\\), \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \\(n \\cdot e^x-1\\) \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a \u0432 \u0442\u043e\u0447\u043a\u0435, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \\(e^x=\\frac{1}{n}\\), \u0442\u043e \u0435\u0441\u0442\u044c \u043f\u0440\u0438 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u043e\u043c \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438 \\(x=\\ln(\\frac{1}{n})\\). \u0415\u0441\u043b\u0438 \\(x&lt;\\ln(\\frac{1}{n})\\), \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \\(n \\cdot e^x-1 &lt;0\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u0442\u043e\u0440\u0430\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u0430 \u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u043e\u0433\u043d\u0443\u0442\u0430 \u0432\u043d\u0438\u0437 \\((\\cap)\\). \u0415\u0441\u043b\u0438 \\(x&gt;\\ln(\\frac{1}{n})\\), \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \\(n \\cdot e^x-1 &gt;0\\), \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u0442\u043e\u0440\u0430\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u0430 \u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u043e\u0433\u043d\u0443\u0442\u0430 \u0432\u0432\u0435\u0440\u0445 \\((\\cup)\\). \\(x=\\ln(\\frac{1}{n})\\) &#8212; \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0433\u0438\u0431\u0430. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0415\u0441\u043b\u0438 \\(n\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435, \u0442\u043e \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435  \\((e^x-1)^{n-2}\\) \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a  \u043f\u0440\u0438 \\(x=0\\) \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0432\u0442\u043e\u0440\u0430\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043c\u0435\u043d\u044f\u0435\u0442 \u0437\u043d\u0430\u043a \u043f\u0440\u0438  \\(x=0\\) \u0438 \u043f\u0440\u0438 \\(x=\\ln(\\frac{1}{n})\\).  \u041f\u0440\u0438\u0447\u0435\u043c \u043f\u0440\u0438 \\(x&gt;0\\) \u0438 \u043f\u0440\u0438 \\(x&lt;\\ln(\\frac{1}{n})\\) \u0432\u0442\u043e\u0440\u0430\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u0430 \u0438 \u0438 \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432\u043e\u0433\u043d\u0443\u0442 \u0432\u0432\u0435\u0440\u0445 \\((\\cup)\\), \u043f\u0440\u0438 \\( x&lt;\\ln(\\frac{1}{n})&lt;x&lt;0\\) \u0432\u0442\u043e\u0440\u0430\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u0430 \u0438 \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432\u043e\u0433\u043d\u0443\u0442 \u0432\u043d\u0438\u0437 \\((\\cap)\\). \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0443 \u043d\u0430\u0441 2 \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0433\u0438\u0431\u0430: \\(x=0\\) \u0438 \\(x=\\ln(\\frac{1}{n})\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0418\u0442\u0430\u043a.<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\\(n\\) &#8212; \u0447\u0435\u0442\u043d\u043e\u0435:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b  \\(y=-3\\) \u043f\u0440\u0438 \\(x \\rightarrow-\\infty\\)<\/li>\n\n\n\n<li>\\(x=0\\) &#8212; \u0442\u043e\u0447\u043a\u0430 \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430. \\(f(0)=(e^0-1)^n-4=-4\\). \u041f\u0440\u0438 \\(x&lt;0\\) \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0443\u0431\u044b\u0432\u0430\u0435\u0442, \u043f\u0440\u0438 \\(x&gt;0\\) \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u0435\u0442. <\/li>\n\n\n\n<li>\u0422\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u043e\u0441\u044c\u044e \\(Y\\) \\((0,-4)\\) <\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">\\(n\\) &#8212; \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0435:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b  \\(y=-5\\) \u043f\u0440\u0438 \\(x \\rightarrow-\\infty\\)<\/li>\n\n\n\n<li>\u0424\u0443\u043d\u043a\u0446\u0438\u044f \u0432\u043e\u0437\u0440\u0430\u0441\u0442\u0430\u0435\u0442.<\/li>\n\n\n\n<li>\u0422\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u043e\u0441\u044c\u044e \\(Y\\) \\((0,-4)\\)<\/li>\n<\/ol>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"615\" data-id=\"960\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/80-1024x615.png\" alt=\"\" class=\"wp-image-960\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/80-1024x615.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/80-300x180.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/80-768x461.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/80.png 1348w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-4 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"808\" data-id=\"961\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/81-1024x808.png\" alt=\"\" class=\"wp-image-961\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/81-1024x808.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/81-300x237.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/81-768x606.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/81.png 1242w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"><strong>(\u05d1)<\/strong><\/mark> \u041f\u0443\u0441\u0442\u044c \\(n=2\\) \u0438  \\(f(x)=(e^x-1)^2-4\\).  \\(g(x)=3e^x-7\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">(1)<\/mark><\/strong> \u041d\u0430\u0439\u0434\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u0435\u043a \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \\(f(x)\\) \u0438  \\(g(x)\\). \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \\(x\\) \u0442\u043e\u0447\u0435\u043a \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \\(f(x)\\) \u0438  \\(g(x)\\), \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u044f\u0442\u044c \u043f\u0440\u0430\u0432\u044b\u0435 \u0447\u0430\u0441\u0442\u0438 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0438 \u0440\u0435\u0448\u0438\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\((e^x-1)^2-4=3e^x-7\\). \u0412\u0432\u0435\u0434\u0435\u043c \u0437\u0430\u043c\u0435\u043d\u0443: \\(t=e^x,\\ t&gt;0\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e\u043b\u0443\u0447\u0438\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\((t-1)^2-4=3t-7\\); <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(t^2-2t+1-4=3t-7\\); <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(t^2-5t+4=0\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e \u0442\u0435\u043e\u0440\u0435\u043c\u0435 \u0412\u0438\u0435\u0442\u0430: \\(t_1=1,\\ t_2=4\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041e\u0431\u0440\u0430\u0442\u043d\u0430\u044f \u0437\u0430\u043c\u0435\u043d\u0430: \\(e^x=1, \\ x=0\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(e^x=1, \\ x=\\ln4\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \\y\\) \u0442\u043e\u0447\u0435\u043a \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f: \\(x=0, \\ g(0)=3e^0-7=-4\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> \\(x=\\ln 4, \\ g(\\ln 4)=3e^{\\ln 4}-7=3\\cdot 4-7=5\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041e\u0442\u0432\u0435\u0442: \\((0,-4)\\); \\((\\ln 4,5)\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">(2)<\/mark><\/strong> \u0424\u0438\u0433\u0443\u0440\u0430, \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u0430\u044f \u043c\u0435\u0436\u0434\u0443 \u0433\u0440\u0430\u0444\u0438\u043a\u0430\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \\(f(x)\\) \u0438  \\(g(x)\\) &#8212; \u044d\u0442\u043e \u0444\u0438\u0433\u0443\u0440\u0430, \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u0430\u044f \u043c\u0435\u0436\u0434\u0443 \u0442\u043e\u0447\u043a\u0430\u043c\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u044d\u0442\u0438\u0445 \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u0432. \u0415\u0435 \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043f\u043e \u0444\u043e\u0440\u043c\u0443\u043b\u0435: <\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">\\(S=|\\int_0^{\\ln 4}(f(x)-g(x))dx|\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\int_0^{\\ln 4}((e^x-1)^2-4-(3e^x-7))dx=\\int_0^{\\ln 4}((e^{2x}-2e^x+1-4-3e^x+7))dx=\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(=\\int_0^{\\ln 4}(e^{2x}-5e^x+4)dx=\\int_0^{\\ln 4}(e^{2x}-5e^x)dx+\\int_0^{\\ln 4}4dx\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430\u0439\u0434\u0435\u043c \\(\\int_0^{\\ln 4}(e^{2x}-5e^x)dx\\). <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\int_0^{\\ln 4}(e^{2x}-5e^x)dx=\\int_0^{\\ln 4}(e^{x}(e^x-5))dx\\). \u0412\u0432\u0435\u0434\u0435\u043c \u0437\u0430\u043c\u0435\u043d\u0443: \\(e^x=u, \\ du=e^xdx, e^0=1,\\ e^{\\ln 4}=4\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041e\u0442\u0441\u044e\u0434\u0430 \\(\\int_0^{\\ln 4}(e^{x}(e^x-5))dx=\\int_1^{4}(u-5)du=(\\frac{u^2}{2}-5u )|_1^4=\\frac{4^2}{2}-5\\cdot 4-(\\frac{1^2}{2}-5\\cdot 1)=\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(=-12+4.5=-7.5\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041d\u0430\u0439\u0434\u0435\u043c \\(\\int_0^{\\ln 4}4dx\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\int_0^{\\ln 4}4dx=4x|_0^{\\ln 4}=4\\ln4\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0418\u0442\u0430\u043a: \\(\\int_0^{\\ln 4}((e^x-1)^2-4-(3e^x-7))dx=-7.5+4\\ln 4\\approx -1.95\\), <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(S=|-1.95|=1.95\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041e\u0442\u0432\u0435\u0442: \\(\\approx 1.95\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-red-color\"><strong>(\u05d2)<\/strong><\/mark> \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \\(h(x)=|(e^x-1)^2-4|\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">(1)<\/mark><\/strong> \u041d\u0430\u0439\u0434\u0435\u043c \u0447\u0438\u0441\u043b\u043e \u0442\u043e\u0447\u0435\u043a \u044d\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c\u0430 \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u0421\u0434\u0435\u043b\u0430\u0435\u043c \u044d\u0442\u043e \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u0433\u0440\u0430\u0444\u0438\u043a\u0430. \u0427\u0442\u043e\u0431\u044b \u0438\u0437 \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(y=f(x)\\) \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(y=|f(x)|\\), \u043d\u0443\u0436\u043d\u043e \u0447\u0430\u0441\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \\(y=f(x)\\), \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u0443\u044e \u043d\u0438\u0436\u0435 \u043e\u0441\u0438 \\(X\\), \u043e\u0442\u043e\u0431\u0440\u0430\u0437\u0438\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u044d\u0442\u043e\u0439 \u043e\u0441\u0438. \u0427\u0430\u0441\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a\u0430, \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u0443\u044e \u0432\u044b\u0448\u0435 \u043e\u0441\u0438 \\(X\\), \u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0431\u0435\u0437 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u0438\u0439.<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c: <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-5 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"676\" data-id=\"1000\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/85-1-1024x676.png\" alt=\"\" class=\"wp-image-1000\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/85-1-1024x676.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/85-1-300x198.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/85-1-768x507.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/85-1.png 1290w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u043e\u043b\u0443\u0447\u0438\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0439 \u0433\u0440\u0430\u0444\u0438\u043a:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\\(n=2\\) &#8212; \u0447\u0435\u0442\u043d\u043e\u0435:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">2 \u0442\u043e\u0447\u043a\u0438 \u044d\u043a\u0441\u0442\u0440\u0435\u043c\u0443\u043c\u0430: <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(max(0,4), min\\) <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(\\\\\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-6 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"640\" data-id=\"997\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/84-1-1024x640.png\" alt=\"\" class=\"wp-image-997\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/84-1-1024x640.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/84-1-300x187.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/84-1-768x480.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/84-1.png 1076w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"> \u041d\u0430\u0439\u0434\u0435\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438 \u043c\u0438\u043d\u0438\u043c\u0443\u043c\u0430. \u042d\u0442\u043e \u0442\u043e\u0447\u043a\u0430 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438   \\(y=f(x)\\) \u0441 \u043e\u0441\u044c\u044e \\(X\\). \u041a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430 \\(y\\) \u044d\u0442\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e. \u0427\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443 \\(x\\) \u044d\u0442\u043e\u0439 \u0442\u043e\u0447\u043a\u0438, \u0440\u0435\u0448\u0438\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\((e^x-1)^2-4=0\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\((e^x-1)^2=4\\),<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(e^x-1=2\\) \u0438\u043b\u0438 \\(e^x-1=-2\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\\(e^x=3\\) \u0438\u043b\u0438 \\(e^x=-3\\) &#8212; \u043d\u0435\u0442 \u0440\u0435\u0448\u0435\u043d\u0438\u0439, \u0442.\u043a. \\(e^x&gt;0\\).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0418\u0437 \u043f\u0435\u0440\u0432\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \\(x=\\ln 3\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442:<\/em> \\(max(0,4), min(\\ln 3, 0\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">(2)<\/mark><\/strong> \u041f\u0440\u044f\u043c\u0430\u044f \\(y=k\\) \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u0435\u0442 \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \\(h(x)\\) \u0432 \u0442\u0440\u0435\u0445 \u0442\u043e\u0447\u043a\u0430\u0445, \u0435\u0441\u043b\u0438 \u043e\u043d\u0430 \u043b\u0435\u0436\u0438\u0442 \u0436\u0435\u043b\u0442\u043e\u0439 \u043e\u0431\u043b\u0430\u0441\u0442\u0438:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u041f\u0440\u0438 \\(k=4\\) \u043f\u0440\u044f\u043c\u0430\u044f \\(y=4\\) \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c\u0430 \u0438 \u0438\u043c\u0435\u0435\u0442 \u0441 \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 2 \u043e\u0431\u0449\u0438\u0435 \u0442\u043e\u0447\u043a\u0438.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u041f\u0440\u0438 \\(k=3\\) \u043f\u0440\u044f\u043c\u0430\u044f \\(y=3\\) \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0433\u043e\u0440\u0438\u0437\u043e\u043d\u0442\u0430\u043b\u044c\u043d\u043e\u0439 \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u043e\u0439, \u0438 \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438  \\(h(x)\\) \u043d\u0438\u043a\u043e\u0433\u0434\u0430 \u043d\u0435 \u0434\u043e\u0441\u0442\u0438\u0433\u0430\u0435\u0442 \u044d\u0442\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439 \u043f\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044e \u0430\u0441\u0438\u043c\u043f\u0442\u043e\u0442\u044b. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0440\u044f\u043c\u0430\u044f  \\(y=3\\) \u0438\u043c\u0435\u0435\u0442 \u0441 \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 2 \u043e\u0431\u0449\u0438\u0435 \u0442\u043e\u0447\u043a\u0438.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-7 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"651\" data-id=\"1002\" src=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/86-1024x651.png\" alt=\"\" class=\"wp-image-1002\" srcset=\"https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/86-1024x651.png 1024w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/86-300x191.png 300w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/86-768x488.png 768w, https:\/\/bagrut-ru.com\/wp-content\/uploads\/2023\/08\/86.png 1076w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n<\/div>\n<\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><em>\u041e\u0442\u0432\u0435\u0442:<\/em> \\(3&lt;k&lt;4\\)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/div>\n\t\t\t<\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0438\u0441\u0442\u043e\u0447\u043d\u0438\u043a<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8,9],"tags":[],"class_list":["post-933","post","type-post","status-publish","format-standard","hentry","category-8","category-9"],"_links":{"self":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/933","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=933"}],"version-history":[{"count":67,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/933\/revisions"}],"predecessor-version":[{"id":1533,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=\/wp\/v2\/posts\/933\/revisions\/1533"}],"wp:attachment":[{"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=933"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=933"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bagrut-ru.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=933"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}