Let R be the region bounded above by the graph of y = e"*, below by the x-axis, on the left by the y-axis, and on the right by the vertical line x = m, where m > 0 is a constant. (a) Find the area of R in terms of m. (b) Region R is revolved around the horizontal line y = -3 to form a solid. Write, but do not evaluate, an expression involving one or more integrals that gives the volume of the solid. (c) Find the value of the real number k > 1 such that | k * dx = 2, or show that no such k exists