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1. The region R is enclosed by the graphs of f(x) = 4-x^2 and g(x) = -x+2 a. Set up, but don't solve an integral

1. The region R is enclosed by the graphs of f(x) = 4-x^2 and g(x) = -x+2

a. Set up, but don't solve an integral expression to find the area of R

b. Set up, but don't solve, an integral expression to find the volume of the solid generated by revolving the region R about the line y = -2. 2. The region R is enclosed by the graphs of f(x) = cos(x^3) and g(x) = x^2 a. Set up, but don't solve, an integral expression to find the volume of the solid generated by revolving the region R about the line x = 1.

b. Set up, but don't solve, an integral expression to find the volume of the solid generated by revolving the region R about the line y = 2. Show all work step by step with an explanation.

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