Question: a) [4 points] Find the coordinates of the intersection points of the given curves. b) [3 points] Setup a definite integral that calculates the area
![a) [4 points] Find the coordinates of the intersection points of](https://s3.amazonaws.com/si.experts.images/answers/2024/06/667998940f679_94766799893db858.jpg)
![the given curves. b) [3 points] Setup a definite integral that calculates](https://s3.amazonaws.com/si.experts.images/answers/2024/06/66799894a5a68_948667998946bea7.jpg)
![the area of R. DO NOT EVALUATE THE INTEGRAL. c) [6 points]](https://s3.amazonaws.com/si.experts.images/answers/2024/06/667998956400c_9496679989523a69.jpg)

a) [4 points] Find the coordinates of the intersection points of the given curves. b) [3 points] Setup a definite integral that calculates the area of R. DO NOT EVALUATE THE INTEGRAL. c) [6 points] Use washer's method to set up a definite integral that calculates the volume of the solid obtained by rotating R about the line y = 5. DO NOT SIMPLIFY YOUR ANSWER. d) [6 points] Use cylinderical shell's method to set up a definite integral that calculates the volume of the solid obtained by rotating R about the line x = 5. DO NOT SIMPLIFY YOUR ANSWER.
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