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Math 152 Quiz 1 Name: Compute the following integrals: 1. Find the area between the curve y = x3 and the tangent line to this curve at (2, 8). Yes, the tangent line does meet the curve in two points, and both points have x-coordinates that are multiples of 2. 2. Let r be the distance between the center of a regular polygon and one of its vertices, and let n be the number of sides. Then the area is given by 2π nr 2 2 sin n . Fix a base radius r, a height h, and the number of sides n. Find the volume of a pyramid with base given by a regular n-gon with radius r and height h. Hint: Set it up as an integral. 1