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Surface Area Question 16, EXTRA 6.69 Part 1 of 4 Let f(x) = 2 and let R be the region bounded by the graph of
Surface Area Question 16, EXTRA 6.69 Part 1 of 4 Let f(x) = 2 and let R be the region bounded by the graph of f and the x-axis on the 16x- interval [1, 4]. Find the area of the surface generated when the given curve is revolved about the given axis. a. Find the area of the surface generated when the graph of f on [1, 4] is revolved about the x-axis. Use technology to evaluate or approximate the integral. b. Find the length of the curve y = f(x) on [1, 4]. y= 14 (ex + e -7x), for - 45x54; about the x-axis c. Find the volume of the solid generated when R is revolved about the y-axis. d. Find the volume of the solid generated when R is revolved about the x-axis. Use technology to evaluate or approximate the integral. The surface area is square units. a. The area of the surface generated is 16.4. (Type an exact answer, using it as needed.) (Do not round until the final answer. Then round to the nearest tenth as needed.)
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