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FRQ1 No calculator is allowed for the following problem. {0. 3} t5. -3) Let for) = 3cos (Ex) and g{x) = 3 + 5x 33.

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FRQ1 No calculator is allowed for the following problem. {0. 3} t5. -3) Let for) = 3cos (Ex) and g{x) = 3 + 5x 33. LetR be the region bounded by the graphs of fand g, as shown above. a} Find the area ofR. b) Region R is the base of a solid. For this solid, each cross section perpendicular to the xaxis is a square. Write. but do not evaluate. an integral expression that gives the volume of the solid. c} Write, but do not evaluate, an integral expression that gives the volume of the solid generated when R is revolved about the horizontal line y = 3. FRQ 2 No calculator is allowed for the following problem. The functions f and g are Moe-differentiable for all real numbers and have continuous second derivatives. The graph of f is strictly decreasing. The values of f: f ', g, and g ' for selected values of x are shown in the table above. Let h be the Jnction given by htx) = x) - g(x). 3) Explain why there must be e value a for 1

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