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11 Jun 2020
Investigation
Let ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/936888246775294/question/0.png?img=6008c6942f7917cec25d07efb6b757c0)
be an arbitrary point on the graph of f that ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/936888246775294/question/1.png?img=1b2eb5734bcab87732301fb92ff96f35)
, as shown in the figure. Verify each statement.
![Chapter 3.6, Problem 77E, Investigation Let P(x0,y0) be an arbitrary point on the graph of f that f(x0)0, as shown in the](https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/6581533/qa_images/822203841812244/2.png)
(a) The x-intercept of the tangent line is
![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/936888246775294/question/3.png?img=9b6472bc5fdd62da8bd3dd9abef569e4)
(b) The y-intercept of the tangent line is
![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/936888246775294/question/4.png?img=72590dc5cbb194a0095165d867c39084)
(c) The x-intercept of the normal line is
![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/936888246775294/question/5.png?img=df0851cc26535509a3ae12590ca6380d)
(The normal line at a point is perpendicular to the tangent line at the point.)
(d) The y-intercept of the normal line is
![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/936888246775294/question/6.png?img=38f3115e822fd5baffc5002c57ca8b0c)
(e) ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/936888246775294/question/7.png?img=28159e2884a9add949f4e36601a470c9)
(f) ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/936888246775294/question/8.png?img=49807a938b1e5b38d272e4df694929f6)
(g) ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/936888246775294/question/9.png?img=2eaadd6288b3894597c86378210882b6)
(h) ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/936888246775294/question/10.png?img=9339c47e731c35797f89afa9ae79b806)
Investigation
Let
(a) The x-intercept of the tangent line is
(b) The y-intercept of the tangent line is
(c) The x-intercept of the normal line is
(The normal line at a point is perpendicular to the tangent line at the point.)
(d) The y-intercept of the normal line is
(e)
(f)
(g)
(h)
Rico Jay LaxaLv10
21 Jul 2020