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Unformatted text preview: FIRST EXAM: FEBRUARY 23, 2007 MATH 408M: MULTIVARIABLE CALCULUS IMPORTANT INSTRUCTIONS This exam consists of 18 problems, followed by 2 bonus problems. All problems are multiple choice. The first 18 problems are worth 5.5 points each, and the 2 bonus problems are worth 4 points each. Look at your answer sheet. (1) Where it says Name write and bubble in your name. (2) Where it says Identification write and bubble in your UT EID. (3) Where it says Signature write the color of the paper on which your exam is printed (White or Yellow). On the answer sheet, bubble in your answer to each of the 20 problems. When you leave this room you will turn in only your answer sheet. This copy of the exam is yours to keep. 1 2 M408M FIRST EXAM Problem 1: If the parametric curve x = f ( t ) , y = g ( t ) satisfies g (1) = 0 which of the the following must be true about the curve? i) It has a horizontal tangent at t = 1 ii) It has a vertical tangent at t = 1 iii) ( f (1) , g (1)) = (0 , 0) (A) Only statement i). (B) Only statement ii). (C) Only statement iii). (D) None of i), ii), or iii). Problem 2: Which of the following parametric equations has the same graph as the Cartesian curve y = x 2 ?...
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- Spring '07
- Multivariable Calculus