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261E2-S00

261E2-S00 - MA 261 NAME STUDENT ID Exam 2 Spring 2000 Page...

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MA 261 Exam 2 Spring 2000 Page 1/8 NAME STUDENT ID # RECITATION INSTRUCTOR RECITATION TIME DIRECTIONS 1) Fill in the above information. Also write your name at the top of each page of the exam. 2) The test has 8 pages, including this one. 3) Problems 1 through 5 are multiple choice; circle the correct answer. 4) Problems 6 through 9 are problems to be worked out. Write your answer in the box provided. YOU MUST SHOW SUFFICIENT WORK TO JUSTIFY YOUR ANSWERS. CORRECT ANSWERS WITH INCONSISTENT WORK MAY NOT RECEIVE CREDIT. 5) Points for each problem are given in parenthesis in the left margin. 6) No books, notes, or calculators may be used on this test. Page 2 /20 Page 3 /20 Page 4 /12 Page 5 /12 Page 6 /12 Page 7 /14 Page 8 /10 TOTAL /100

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MA 261 Exam 2 Spring 2000 Name: Page 2/8 (8) 1) The function, f ( x, y ) satisfies f (0 , 0) = 4 , f x (0 , 0) = 3 , f y (0 , 0) = 2. Find an approx- imate value of f (0 . 002 , - 0 . 001): A. 3 . 996 B. 4 . 001 C. 4 . 004 D. 4 . 005 E. 4 . 008 (12) 2) Find the minimum and maximum values of the function f ( x, y ) = x 2 - 4 x + y 2 - 2 y on the disk x 2 + y 2 20: A. 0 and 32 B. 0 and 40 C. - 5 and 32 D.
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261E2-S00 - MA 261 NAME STUDENT ID Exam 2 Spring 2000 Page...

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