Unformatted text preview: with vertices (0 , 0), (1 , 1), (5 , 0), (4 ,-1). Sketch the region and its image under the trans-formation. 3. Sketch the vector ﬁeld F ( x, y ) = h y,-2 x i . Bonus: A circular cylindrical hole is bored through a solid sphere, the axis of the hole being a diameter of the sphere. The volume of the remaining solid is V = 2 Z 2 π Z √ 3 Z √ 4-z 2 1 r dr dz dθ. Find the radius of the hole and the radius of the sphere. 1...
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- Fall '08
- circular cylindrical hole, dr dz dθ, Dr. Hurdal, solid x2