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Unformatted text preview: be the lines whose parametric equations are L 1 : x = 1 + 7 t, y = 3 + t, z = 53 t L 2 : x = 4t, y = 6 , z = 7 + 2 t . Find the distance between the two lines. 6.) Let a curve in the plane be parametrized by x = 2 t, y = t 2 . a) Find the curvature function of the curve. b) Find the tangential and normal components of the acceleration of a particle moving on this curve. 7.) Evaluate the line integral H C y 2 dx + x 2 dy , where C is the square with vertices (0 , 0) , (1 , 0) , (1 , 1) and (0 , 1) oriented counterclockwise, using Green’s Theorem and then check your answer by evaluating it directly. 8.) Find the volume of the solid enclosed between the surfaces x = y 2 + z 2 and x = 1y 2 ....
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 Spring '08
 Tuna

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