MAT 127 Midterm: S06mt2sol
31 Jan 2019
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Midterm ii spring 2006 solutions: (20 pts) set up an integral representing the length of the quarter circle shown below. You do not need to compute the integral. (bonus: compute!) L = z 3 (9 x2) 1/2( 2x) = x. 2 arcsin(t)(cid:17) = 3 /2. dx = lim t 0+ This is an improper integral, so it is: (20 pts) consider the region under the graph of y = x between x = 0 and x = 4: A solid is formed by rotating this region around the horizontal line y = 1 (shown dot- ted). (a) using dx to compute the volume will result in: washers. Shells (circle one). (b) using dy to compute the volume will result in: washers. Shells (circle one). (c) compute the volume of the solid, using whichever method you prefer. A(x) = (r2 r2) = ((1 + x)2 (1)2) = (1 + 2 x + x 1) = (2 x + x).
