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a. Calculate the volume of the solid of revolution created by rotating the curve y = 2+Gexp(2 I) about the x-axis, for x between 1

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a. Calculate the volume of the solid of revolution created by rotating the curve y = 2+Gexp(2 I) about the x-axis, for x between 1 and 2. b. The equation of a circle of radius r, centered at the origin (0,0), is given by 9 9 o T =I_+y_ o Rearrange this equation to find a formula for y in terms of x and r. (Take the positive root.) 0 What solid of revolution is swept out if this curve is rotated around the x axis, and x is allowed to vary between -r and r? (You do not need to enter this answer into WebAssign.) 0 Suppose we wanted to set up the following integral so that V gives the volume of a sphere of radius r Vz/abfh') d1" What would a, b and f(x) be? f(x) = pa (WebAssign note: remember that you enter 71' as pi ) 0 Carry out the integration, and calculate the value of V in terms of r. V=_

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