Math234_Practice Exam-II

Math234_Practice Exam-II - MATH 234 (A. Assadi) Practice...

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MATH 234 (A. Assadi) FALL 2005 Practice Exam II Problem 1. Evaluate the iterated integral 2 1` 1 (1 2 ) x x dx y dy −− + ∫∫ . Problem 2. Change the order of integration in the double integral 12 1 0 x y x dx e dy + .
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2 Problem 3. Find the area of the surface 22 zx y = + BETWEEN the planes 1 z = 4. z = Problem 4. A solid V is the volume cut off by a cone K from a spherical shell S that has the inner radius 1 1 R = and the outer radius 2 2 R = . The cone K is obtained from a 360 degree rotation of the triangle with vertices (0,0,0) , (0,0,1) , (0,1,1) about the z- axis. Outline the steps that you will take to find the volume of V and set up the multiple integral and its bounds for calculation of the volume.
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3 Problem 5. (a) Give an example of a vector field 12 3 F F iF jF k =+ + G GG that has at least one non-constant coefficient among
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Math234_Practice Exam-II - MATH 234 (A. Assadi) Practice...

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