MTH164FA10-M1d_ans

4 c the trace for x 02 d the trace for x 14 i ii iii

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Unformatted text preview: I: C, IV:B, V: D 7. (8 points) Determine the signs of the partial derivatives at the given point for the function f whose graph is shown. Page 6 of 8 Tuesday, October 19, 2010 1st Midterm Exam MTH 164 (Multivariable Calculus) (a) fx Answer: negative (b) fy Answer: positive (c) fxx Answer: negative (d) fyy Answer: positive Answer: Page 7 of 8 1st Midterm Exam MTH 164 (Multivariable Calculus) Tuesday, October 19, 2010 8. (8 points) Consider the function 7 − 3xy 2 . 4 Which graph below corresponds to the following traces: f (x, y ) = (a) The trace for x = 1.5. (b) The trace for x = −0.4. (c) The trace for x = 0.2. (d) The trace for x = −1.4. I II III IV Answer: I:b, II: c, III: d, IV: a 9. (9 points) A quantity z is calculated from x and y using the formula z = xy 2 Page 8 of 8 Tuesday, October 19, 2010 1st Midterm Exam MTH 164 (M...
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