# quiz2 - g s t h s t Using the chain rule calculate ∂ 2 k...

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Take Home Quiz 2, Math 203 Fall 2009 This is a closed book quiz, take 20 minutes. Due Monday 10/19/09. Question 1: Let f ( x, y ) be a map from R 2 R , and x = g ( s, t ), y = h ( s, t ) for some functions g, h : R 2 R . Assume f, g, h have derivatives of all orders. Let k ( s, t ) = f (

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Unformatted text preview: g ( s, t ) , h ( s, t )). Using the chain rule, calculate ∂ 2 k ∂s∂t . 1 Question 2: Find the critical point(s) of f ( x, y ) = x 2 + y 2 + 16 /x-1 /y and classify them using the second derivative test. 2...
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## This note was uploaded on 11/05/2011 for the course MAT 203 at Princeton.

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quiz2 - g s t h s t Using the chain rule calculate ∂ 2 k...

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