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Unformatted text preview: Math 252 Name: ________________________ QUIZ 3 (SECTIONS 16.3-16.9) MATH 252 FALL 2007 KUNIYUKI SCORED OUT OF 125 POINTS MULTIPLIED BY 0.84 105% POSSIBLE Show all work, simplify as appropriate, and use good form and procedure (as in class). Box in your final answers! No notes or books allowed. A scientific calculator is allowed. USE THE LAST PAGE IF YOU NEED MORE SPACE!! 1) Let f x , y , z ( ) = 3 x 2 y + z 3 . Find f x x , y , z ( ) . (4 points) 2) Let f r , s ( ) = cos rs ( ) . Find f r r , s ( ) and use that to find f rs r , s ( ) . (6 points) 3) Assume that f is a function of x and y . Write the limit definition of f y x , y ( ) using the notation from class. (4 points) 4) Let f x , y ( ) = 3 xy 2 4 y 3 + 5 . Use differentials to linearly approximate the change in f if x , y ( ) changes from 4, 2 ( ) to 3.98, 1.96 ( ) 3) Assume that f is a function of x and y . Write the limit definition of f y x , y ( ) using the notation from class. (4 points) 4)...
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