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Unformatted text preview: yp968 – Homework 9 – Radin – (58415) 1 This printout should have 17 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine whether the partial derivatives f x , f y of f are positive, negative or zero at the point P on the graph of f shown in P x z y 1. f x = 0 , f y < 2. f x < , f y = 0 3. f x = 0 , f y > 4. f x > , f y = 0 5. f x < , f y > 6. f x < , f y < 7. f x > , f y > 8. f x = 0 , f y = 0 002 10.0 points Determine f x when f ( x, y ) = cos(3 y x ) x sin(3 y x ) . 1. f x = x cos(3 y x ) 2. f x = 2 sin(3 y x ) x cos(3 y x ) 3. f x = x cos(3 y x ) sin(3 y x ) 4. f x = x cos(3 y x ) 5. f x = x sin(3 y x ) 6. f x = x sin(3 y x ) 7. f x = 2 sin(3 y x ) x cos(3 y x ) 8. f x = cos(3 y x ) x sin(3 y x ) 003 10.0 points Find the slope in the xdirection at the point P (0 , 2 , f (0 , 2)) on the graph of f when f ( x, y ) = 4(2 x + y ) e xy . 1. slope = 10 2. slope = 6 3. slope = 12 4. slope = 8 5. slope = 4 004 10.0 points Determine h = h ( x, y ) so that ∂f ∂x = h ( x, y ) (4 x 2 + 4 y 2 ) 2 when f ( x, y ) = 3 x 2 y 4 x 2 + 4 y 2 . 1. h ( x, y ) = 24 xy 2 2. h ( x, y ) = 24 x 3 y 3. h ( x, y ) = 12 x 3 y yp968 – Homework 9 – Radin – (58415) 2 4. h ( x, y ) = 12 xy 2 5. h ( x, y ) = 12...
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This note was uploaded on 04/29/2008 for the course M 408L taught by Professor Radin during the Spring '08 term at University of Texas at Austin.
 Spring '08
 RAdin

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