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MTH 142 Lecture 6: Section 6.5 Average Value of a Function

United States

College Calculus 2

Mathematics

Brian Hassard

University at Buffalo

General Physics II

General Physics II Lab

<picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/72/7281400.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/72/7281400.png" alt=""></picture> <div id="h32" class="hidden">1 point) Suppose the average value of fx) on the interval [4,7] is 65. Calculate f(x) dr. The integral equals Suppose a car travels in a straight line at an average velocity of 65 miles per hour. How far does the car travel from 4:00pm to 7:00pm? The car travels miles. </div>

Finding a Value In Exercises 65-68, find k such that the line is tangent to the graph of the function.
Function Line
<picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/239562726021160/question/0.webp?img=f1aa0fb916446def4e608316bc12d0f0" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/239562726021160/question/0.png?img=89bab9c48da9e3ca6758a57df819dfb7" data-mlang="latex" data-equation="f%28x%29%3Dk-x%5E%7B2%7D"></picture> <picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/239562726021160/question/1.webp?img=09642a53f1d9db88c1cc72f3a9702e65" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/239562726021160/question/1.png?img=2adae0515cf82a0b6b77ee3730e55e5d" data-mlang="latex" data-equation="y%3D-6x%2B1"></picture>

Finding a Value In Exercises 65-68, find k such that the line is tangent to the graph of the function.
Function Line
<picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/696608849530974/question/0.webp?img=be370a49a3513992b6a2bd2db00cbb23" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/696608849530974/question/0.png?img=258350a03beca1d500f51776e1a2078a" data-mlang="latex" data-equation="f%28x%29%3Dkx%5E%7B2%7D"></picture> <picture><source srcset="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/696608849530974/question/1.webp?img=97a602fee0cebc0f547a6e8a36a3575b" type="image/webp"><img src="https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/696608849530974/question/1.png?img=a27a44f1149011d51f9a3661234a831c" data-mlang="latex" data-equation="y%3D-2x%2B3"></picture>

MTH 142 Lecture 6: Section 6.5 Average Value of a Function

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