The figure below shows the graph of the curve for 0 x 1.

Chapter 8, Problem 44

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The figure below shows the graph of the curve for 0 x 1. Using calculus it can be shown that the area of the first-quadrant region bounded by this curve, the coordinate axes, and the line x a is given by sin1 a. Use this fact to carry out the following calculations. (a) Find the area of the first-quadrant region under this curve from x 0 to Give both the exact form of the answer and a calculator approximation rounded to three decimal places. (b) Find a value of a so that the area of the firstquadrant region under the curve from x 0 to x a is 1.5. Round your answer to three decimal places.

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