Section14_R

Section14_R - (3.24/08) Section 14.R Review exercises 1. A...

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Unformatted text preview: (3.24/08) Section 14.R Review exercises 1. A What is the value of f ( x,y ) = x 2 e y + 2 cos y at (5 , 0)? 2. A Find g (10 ,- 2) for g ( x,y ) = x 2- 10 y 3 . 3. A Draw the level curves h = c of the linear function h ( x,y ) = y- 2 x for c = 0 , ± 2 , ± 4 , ± 6. 4. A Draw the level curves F = c of the function F ( x,y ) = ( y- 1 2 x 2 ) 3 for c = 0 , ± 1 , ± 8. 5. A Draw the level curve of f ( x, y ) = y cos x through the point (0 , 2). What is value of f on this curve? Find the x- and y-derivatives of the functions in Exercises 6 through 11. 6. A z = x 2 y 3- 3 x 2 y 7. A z = sin x + cos y 8. A z = x 2 e 3 y 9. A f ( x, y ) = (1 + xy ) 5 10. A g ( x, y ) = x ln y- y ln x 11. A h ( x,y ) = e 2 x +3 y 12. A What are q x (0 , 0) and q y (0 , 0) if q ( x,y ) = radicalbig Q ( x,y ), Q (0 , 0) = 9 , Q x (0 , 0) = 10, and G y (0 , 0) = 5? 13. A What is the t-derivative of H ( t ) = h ( t 2 ,t 3 ) at t = 1 if h (1 , 1) = 5 , h x (1 , 1) = 3 and h y (1 , 1) =- 4?...
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This note was uploaded on 09/13/2010 for the course MATH Math 20A taught by Professor Eggers during the Summer '08 term at UCSD.

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Section14_R - (3.24/08) Section 14.R Review exercises 1. A...

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