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Please could you show all the working. Let R be the region enclosed by the curves C1 :y= x - 3x +3x - 1, and

Please could you show all the working.

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Let R be the region enclosed by the curves C1 :y= x - 3x +3x - 1, and C2 :y=2-1 C1 c / C2 B a) [4 points] Find the coordinates of A, B, and C. b) [ 3 points] Setup a definite integral for the area of R. Do not evaluate the integral(s). c) [6 points] Use Washer's method to set up a definite integral for the volume of the solid obtained by rotating the area of R about the line y = 10. Do not evaluate the integral(s). d) [6 points] Use Cylindrical Shell's method to set up a definite integral for the volume of the solid obtained by rotating the area of R about the line x = -1. Do not evaluate the integral(s)

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