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Please answer all question explain. thank you. (1)Consider the region bounded by y= 5- x^2 and...

Please answer all question explain. thank you.

(1)Consider the region bounded by y= 5- x^2 and y = 1. (a) Compute the volume of the solid obtained by rotating this region about the x-axis.

(b) Set up the integral for the volume of the solid obtained by rotating this region about the line x = −3. No need to evaluate the integral, just set it up.

(2) (a) Find the exact (no calculator approximation) average value of the function f(x) = sin (x) on the interval [π, 2π ].

(B)Find an interval a, b (a≠ b) for which the average value of g(x) = cos (x) is 0. (It might help to look at the graph.)

Math   Calculus   
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