MATH 166 Midterm: MATH 166 Midterm 2 Spring 2017
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Gabriel"s fl ugelhorn is a shape formed by: find the center of mass for the constant density rotating the region 0 6 x < and 0 6 y 6 xe x around the x-axis. 2: find the center of mass for the region. 1 6 x 6 1 and 0 6 y 6 1 x2 for the varying density function (x) = x2. 1: an in nitely long rod with x > 1 has density. (x) = 1 determine a. xa for some a > 2. 1: find the arc length of y = 4 x2 for 0 6 x 6 1. 1: find the surface area which results from rotating the curve y = ex around the x-axis for. The pyramid will measure 20 feet by 20 feet at ground level and will go down 10 feet to a point.