1. Let f and g be the functions given by f (x) = ex and g(x) = In x...

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1. Let f and g be the functions given by f (x) = ex and g(x) = In x. (a) Find the area of the region enclosed by the graphs of f and g between x = 1/2 and X = 1. 2 1/2 1 (b) Find the volume of the solid generated when the region enclosed by the graphs of f and g between X = and X = 1 is revolved about the line y = 4. (c) Let h be the function given by h(x) = f(x) - g (x). Find the absolute minimum value of h(x) on the closed interval 1/2 2 X < 1, and find the absolute maximum value of h(x) on the closed interval 1/2 x 1. Show the analysis that leads to your answers.

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