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# T2-S61 - Name Northwestern University Id Math 230 Section...

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Northwestern University Name: Id #: Math 230 Section 61 Test #2 Fall Quarter 2007 Tuesday, November 13, 2007 Name: Instructions: Show all your work on these sheets. Feel free to use the opposite side. Make sure that your final answer is clearly indicated. This test has seven problems. No calculators, books, notes, etc. are allowed. Good luck! Prob. Possible Score points 1 8 2 10 3 20 4 15 5 15 6 10 7 12 8 10 TOTAL 100

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Math 230 Section 61 Test #2 Fall Quarter 2007 Page 2 of 17 BLANK PAGE
Math 230 Section 61 Test #2 Fall Quarter 2007 Page 3 of 17 Question 1. State whether each statement is true or false and briefly explain why. If the statement is false, try to “fix it” by modifying the given statement to a new statement that is true: (2 pts) ∂f ∂x ( a, b ) equals the slope of the tangent line to z = f ( x, y ) at ( a, b ) . Solution: False, ∂f ∂x ( a, b ) equals the slope of the tangent line to the curve z = f ( x, b ) at ( a, b ) . (2 pts) For the partial derivative 2 f ∂x∂y , the order of the partial derivatives does not matter.

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