Regions bounded by exponentials Let a > 0 and let R be the region bounded by the graph of y = e?ax and the x-axis on the interval [b, ?).a. Find A(a, b). the area of R as a function of a and b.________________b. Find the relationship b = g(a)such that A(a, b)=2.________________c. What is the minimum value of b (call it b*)such that when b > b*, A(a, b)= 2 for some value of a > 0?

Problem 59ERegions bounded by exponentials Let a > 0 and let R be the region bounded by the graph of and the x-axis on the interval [b, ).a. Find A(a, b). the area of R as a function of a and b.b. Find the relationship b = g(a)such that A(a, b)=2.c. What is the minimum value of b (call it b*)such that when b > b*, A(a, b)= 2 for some value of a > 0SolutionStep 1In this problem we have to find the area of the region bounded by the graph of and the x-axis on the interval [b, ).We shall find the area by the following method. “If f(x) is a continuous and nonnegative function of x on the closed interval [a, b], then the area of the region bounded by the graph of f, the x-axis and the vertical lines x=a and x=b is given by: ”