11 - M408D Practice problems for Exam #6 (new material...

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Unformatted text preview: M408D Practice problems for Exam #6 (new material only) Directions . Indicate the correct answer for each problem by filling in the appropriate space, as in (A) ( • ) (C) (D) (E). 1) Which of the following contour maps shows all the local min, max and saddle points (if any) of the function f ( x,y ) = x 3- 6 xy + y 3 ? (A) Minus 3 Minus 2 Minus 1 1 2 3 x Minus 3 Minus 2 Minus 1 1 2 3 y (B) Minus 3 Minus 2 Minus 1 1 2 3 x Minus 3 Minus 2 Minus 1 1 2 3 y (C) Minus 3 Minus 2 Minus 1 1 2 3 x Minus 3 Minus 2 Minus 1 1 2 3 y (D) Minus 3 Minus 2 Minus 1 1 2 3 x Minus 3 Minus 2 Minus 1 1 2 3 y (E) Minus 3 Minus 2 Minus 1 1 2 3 x Minus 3 Minus 2 Minus 1 1 2 3 y 2) The net volume between the xy-plane and the graph z = e 2 y sin πx , 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 / 2 is: (A) 2 e- 1 eπ . (B) e 2- 1 2 π . (C) e- 1 π . (D) π e 2 + 1 . (E) 1- e 2 π . 3) The maximum value of the function f ( x,y ) = x + y on the curve 3 x 2 + 2 y 2 = 6 is: (A) f = √ 5. (B) f = 1. (C) f = √ 3. (D) f = 10 3 .....
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This note was uploaded on 01/27/2011 for the course M 408d taught by Professor Sadler during the Spring '07 term at University of Texas.

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11 - M408D Practice problems for Exam #6 (new material...

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