7. Consider the curve given by y = f(x) = 2xe-1.25x + (30-x)e-0.25(30-x) b. Let x and y be measured in inches. Find the total volume of the baseball bat generated by revolving the given curve about the x-axis. Include units on your answer. c. Suppose that the baseball bat has constant weight density, and that the weight density is 0.6 ounces per cubic inch. Find the total weight of the bat whose volume you found in (b). d. Because the baseball bat does not have constant cross-sectional area, we see that the amount of weight concentrated at a location x along the bat is determined by the volume of a slice at location x. Explain why we can think about the function p(x) = 0.67f(x)² (where f is the function given at the start of the problem) as being the weight density function for how the weight of the baseball bat is dis- tributed from x = 0 to x = 30.

7. Consider the curve given by y = f(x) = 2xe-1.25x + (30-x)e-0.25(30-x) b. Let x and y be measured in inches. Find the total volume of the baseball bat generated by revolving the given curve about the x-axis. Include units on your answer. c. Suppose that the baseball bat has constant weight density, and that the weight density is 0.6 ounces per cubic inch. Find the total weight of the bat whose volume you found in (b). d. Because the baseball bat does not have constant cross-sectional area, we see that the amount of weight concentrated at a location x along the bat is determined by the volume of a slice at location x. Explain why we can think about the function p(x) = 0.67f(x)² (where f is the function given at the start of the problem) as being the weight density function for how the weight of the baseball bat is dis- tributed from x = 0 to x = 30.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 14CR: a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and...

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