13. a) Using the shell method, set up the integral(s) to find the volume of the solid obtained by rotating the region bounded by the curves y=x,x= 4, and y = 0 and revolved about the y-axis. b) Evaluate the integral from part a) using your calculator or, if you wish, by hand. ) Using the washer method, set up the integral to find the volume of the solid described in part a). d) Evaluate the integral from part c) using your calculator or, if you wish, by hand. (Hint: The answers for b) and d) should be the samel)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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13. a) Using the shell method, set up the integtal(s) to find the volume of the solid obtained by rotating the region
bounded by the curves y= x =4, and y =0 and revolved about the v-axis.
b) Evaluate the integral from part a) using vour calculator or, if vou wish, by hand.
c Using the washer method, set up the integral to find the volume of the solid described in part a).
<>
5-6.1
d) Evaluate the integral from part c) using your calculator or, if you wish, by hand. (Hint: The answers for b) and d)
should be the same!)
Transcribed Image Text:13. a) Using the shell method, set up the integtal(s) to find the volume of the solid obtained by rotating the region bounded by the curves y= x =4, and y =0 and revolved about the v-axis. b) Evaluate the integral from part a) using vour calculator or, if vou wish, by hand. c Using the washer method, set up the integral to find the volume of the solid described in part a). <> 5-6.1 d) Evaluate the integral from part c) using your calculator or, if you wish, by hand. (Hint: The answers for b) and d) should be the same!)
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