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Find the area of the surface generated when the given curve is revolved about the given axis. 7% + e -7x\\ 14 e , for - 4x4; about the x-axis The surface area is square units. (Type an exact answer, using it as needed.)4 1 Let x] = + 2 2 16): interval [1. 4]. and let R be the region bounded by the graph off and the x-axis on the a. Find the area of the surface generated when the graph oft on [1, ti] is revolved about the xaxis. Use technology to evaluate or approximate the integral. b. Find the length of the curve y =f{x} on [1, 4]. c. Find the volume of the solid generated when R is revolved about the yaxis. d. Find the volume of the solid generated when R is revolved about the xaxis. Use technology to evaluate or approximate the integral. E) a. The area of the surface generated is D. (Do not round until the nal answer. Then round to the nearest tenth as needed.)