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11 Jun 2020
Mean Value Theorem
Consider the graph of the function ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/674624702030153/question/0.png?img=dea847fb165edf88ba99538378c934c3)
(see figure).
(a) Find the equation of the secant line joining the points ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/674624702030153/question/1.png?img=9691c479327e4194087d3ce348b1238f)
.
(b) Use the Mean Value Theorem to determine a point c in the interval ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/674624702030153/question/2.png?img=3ca9c6118a458ea789333847bf125705)
such that the tangent line at c is parallel to the secant line.
(c) Find the equation of the tangent line through c.
(d) Use a graphing utility to graph f, the secant line, and the tangent line.
![Chapter 3.2, Problem 37E, Mean Value Theorem Consider the graph of the function f(x)=x2+5 (see figure). (a) Find the equation](https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/6583239/qa_images/094798582596296/3.png)
Mean Value Theorem
Consider the graph of the function
(see figure).
(a) Find the equation of the secant line joining the points
(b) Use the Mean Value Theorem to determine a point c in the interval
(c) Find the equation of the tangent line through c.
(d) Use a graphing utility to graph f, the secant line, and the tangent line.
Rico Jay LaxaLv10
17 Jul 2020