Review Sheet Exam 3

Review Sheet Exam 3 - Math 13 Exam 3 Review Spring 2007 No...

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Math 13 Exam 3 Review Spring 2007 No calculators should be used in these problems. Simplify your answers as much as possible and box your answers. Write your solutions neatly, linearly, and in complete sentences. Show your work step by step. Model solutions will be posted on the Math 13 website at blackboard.tufts.edu on Thursday, April 5. The exam may contain other questions similar to homework problems. If you desire further practice, you will find some old exams and solutions from previous years on the Math 13 website. 1. Set up (but do not evaluate) a triple integral in the order indicated for the volume of the solid E if (a) E is bounded below by the paraboloid z = x 2 + y 2 and above by the plane 2 x + z = 3, in the order dz dy dx . (b) E is bounded above by the sphere x 2 + y 2 + z 2 = 4 and below by the plane y + z = 2, in the order dz dx dy . 2. Rewrite the integral integraldisplay 1 - 1 integraldisplay 1 x 2 integraldisplay 1 - y 0 f ( x, y, z ) dz dy dx as an interated integral in the order dx dy dz .

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