Question: Let f(x) = log(x + 1), g(x) = 10-x, and R be the region bounded by the graphs off and g, as shown above.

Let f(x) = log(x + 1), g(x) = 10-x, and R be the region bounded by the graphs off and g, as shown above. a) Find the area of the region. b) Region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is an isosceles right triangle with a leg in R. Find the volume of the solid. c) Find the volume of the solid generated when R is revolved about the horizontal line y = 10. A graphing calculator is required for the following problem. (0, 10) (-3, 1) (3, 1)

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