MAT133Y1 Midterm: UTSG MAT 133 QuesSol2013

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7 Mar 2019
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MAT133Y1 Full Course Notes
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MAT133Y1 Full Course Notes
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For the multiple choice questions you can do your rough work in the test booklet, but you must record your answer by circling the appropriate letter on the front page with your pencil. Each correct answer is worth 3 marks; a question left blank, or an incorrect answer, or two answers for the same question is worth 0. For the written-answer ques- tions, present your solutions in the space provided. The value of each written-answer question is indicated beside it: put your name and student number on each page of this examination. If f (x, y) = 3x2 x3y2 + xy4 4x, fxyy(1, 1) : 6, 0, 1, 2, 4. [1 mark] (a) find the points of intersection of the the curves y = x 2x and y = 2x. 0 dx or show that the integral diverges. Find any critical point(s) of f and classify each one.

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