MAD 4301 Midterm: Test 4 Fall 1990

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30 Jan 2019
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1/x4 dx = dx z (b) z 2 (c) z sec2 (2 + 2x) dx = (d) z 1. Set up and evaluate an integral that gives the area of the region bounded by the curves y = x2. Use riemann sums with n = 5 subintervals of equal length and x j = xj, the right endpoint of each subinterval, to nd the approximate volume of the hemisphere of radius 1. (4) (15 pts. ) Set up but don"t evaluate an integral to nd the volume of the cone pictured below. The cross-sections perpendicular to the y-axis are circles and the base is a circle of radius r. y h z.

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