Math252Quiz3F08

Math252Quiz3F08 - Math 252 Name QUIZ 3(SECTIONS 16.3-16.9...

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Math 252 Name: ________________________ QUIZ 3 (SECTIONS 16.3-16.9) MATH 252 – FALL 2008 – 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 BLANK SHEET AT THE END IF YOU NEED MORE SPACE!! 1) Let fr , t () = t 2 sin r t ± ² ³ ´ µ . Find f r r , t . (5 points)

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2) Let fx , y , z () = e xyz . Find f y x , y , z and use that to find f yz x , y , z . (8 points) 3) Assume that f is a function of s and t . Write the limit definition of f s s , t using the notation from class. (4 points)
4) Find ± z y if z = fx , y () is a differentiable function described implicitly by the equation tan y 3 z = x 2 ± yz . Use the Calculus III formula given in class. Simplify. (12 points)

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5) Let f , g , and h be differentiable functions such that z = fu , v () , u = gr , s , t , and v = hr , s , t . Use the Chain Rule to write an expression for ± z t . (5 points) 6) The temperature at any point x , y in the xy -plane is given by fx , y = 5 x 2 y + y
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Math252Quiz3F08 - Math 252 Name QUIZ 3(SECTIONS 16.3-16.9...

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