Assignment:
a) 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.
Provide complete and step by step solution for the question and show calculations and use formulas.