calc exam2_review

calc exam2_review - MATH 2300 - Calculus III Exam 2 Review...

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Unformatted text preview: MATH 2300 - Calculus III Exam 2 Review Fall 2010 NAME: ................................................................... Student ID: ......................................... In order to receive full credit, SHOW ALL YOUR WORK. 1. (6 pts) Indicate whether the following statements are true (T) or false (F). (Circle one) T F (a) integraldisplay 1 integraldisplay 1 x f ( x, y ) dydx = integraldisplay 1 x integraldisplay 1 f ( x, y ) dxdy . T F (b) The maximum rate of change of z = f ( x, y ) is given by | f | . T F (c) integraldisplay 2 1 integraldisplay 4 3 xydydx = x integraldisplay 2 1 integraldisplay 4 3 ydydx . 2. (12 points) Find the local maxima, minima, and saddle points of z = f ( x, y ) = xy 2 + x 2 2 xy , using the Second Derivatives Test. 1 3. (10 points) If w = xy + yz + xz , x = s cos t , y = cos( st ) and z = t , use the multivariate chain rule to find w s when s = 1 and t = ....
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This note was uploaded on 12/05/2010 for the course MATH 1700 taught by Professor Staff during the Spring '08 term at Missouri (Mizzou).

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calc exam2_review - MATH 2300 - Calculus III Exam 2 Review...

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