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Figure 5.3.1: By the Mean Value Theorem, the continuous function f(x) takes on its average value at c at least once over a closed interval. Exercise 5.3.1. Find the average value of the function f(x) = x 2 over the interval [0, 6] and find c such that f(c) equals the average value of the function over [0, 6]. Hint.

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The Graph of given Solid would look something like this in figure_1 (the gray colored region) The height being h=1 and radius of quarter circle being a now the circle is at z=1 so from given formula of cone we have x2 + y2 = 1 hence the radius a = 1 …. View the full answer.

Transcribed image text: Project: Real-World Application in Calculus I (related to Science, Technology, Engineering, and/or Mathematics) Due: Dec 10, 2022 1. Submit one real-world application and the complete solution that each requires concepts in Calculus I in order to solve. 2. The real-world application and its solution must be original ...

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