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4) ( 6 pts) Using the method of washers SET UP the integral(s) to find the exact volume of the solid generated by rotating the

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4) ( 6 pts) Using the method of washers SET UP the integral(s) to find the exact volume of the solid generated by rotating the region bounded by the given curves about the specified axis (DO NOT SOLVE OR SIMPLIFY THE INTEGRAL(s)) x + y=4 and x-1= -- () + 4)2 4 about the line x = 5 5) ( 6 pts) Find the exact volume (by evaluating a definite integral) of the solid generated by the triangular region bounded by the given three lines rotated about the specified axis . Be sure to specify which method you used ( Washer or Shell) ; You may use your calculator to evaluate the integral. y = X x+y=8 and y =2 about the line x = 8

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