MultiFinalExam05 - Math 2224 Common Exam FORM A Spring 2003...

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Math 2224 Common Exam Spring 2003 FORM A Instructions : Please enter your NAME, your ID NUMBER, the FORM DESIGNATION LETTER and your CRN NUMBER on the op-scan sheet. The index number should be written in the upper right-hand box labeled ”Course”. Darken the appropriate circles below the ID number and form designation letter. Use a No. 2 pencil; machine grading may ignore faintly marked circles . Mark your answers to the test questions in rows 1- 14 of the op-scan sheet. Your score on this part of the test will be the number of correct answers. You have one hour to complete this part of the final exam. [1] To which of the following functions does this graph correspond? -2 0 2 x -2 0 2 y z 2 1) ( x y ) 2 2) ( x + y ) 2 3) xy 4) 1 xy [2] The table below gives function values of f as a function of x and y . The approximation y x 0 2 4 6 8 0 3 7 14 20 27 2 11 15 20 25 40 4 15 26 30 39 46 6 20 35 40 50 50 8 25 40 48 50 50 of the partial derivative ∂f/∂y at the point (4 , 4) equals 1) 2 2) 3.25 3) 4.5 4) 5
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[3] Let z = xy 2 sin( xy ). The partial derivative with respect to x
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