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2. Show by triple integration that the volume of the right cir- cular cone shown in Fig. 5 is V = (ah3/3) tana: (a) using

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2. Show by triple integration that the volume of the right cir- cular cone shown in Fig. 5 is V = (ah3/3) tana: (a) using cylindrical coordinates (b) using spherical coordinates. dA = VEG - F- dude. (5a) E = a+ + F - dude + yuyu + Sure. (5b) G = al+ +. 1. In each case evaluate the surface area A of the surface S using (5). (a) HINT: Use & = cosu, y = sin v, z = u. (b) Let S be the circular cylinder ' + y? = 1, between z = Q and z = 1 - y'. HINT: Same hint as in part (a). 1. Determine a parametrization for each of the following curves: the intersection of (b) the planes 4x - 3y + 5z = 1. a + y - 2z = 6 (g) the plane 4x - y + 2 = 3 and the circular cylinder (j) surfaces a - y' + z = 0 and a - y + 2: = 0, between (6, 2, -2) and (1, 1, 0)

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