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Volume of a Rotating Solid

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Let f and g be the functions given by f(x)=e^x and g(x)=ln x.

b) Find the volume of the solid generated when the enclosed region of f and g between x = ½ 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 ½ ≤x≤1, and find the absolute maximum value of h(x) on the closed interval ½ ≤x≤1. Show analysis that leads to your answers.

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Solution Summary

The volume of revolution is calculated for the area bounded by two functions. A minimum value of a function is also found. The solution is well presented.

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