quiz10

# quiz10 - point If it is impossible to tell if there is a...

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Name: Quiz 10 7 November 2005 Write the best answer to each question in the box provided. Show your work. 1. Compute the partial derivatives f x , f y , f xx , f yy , and f xy if f ( x, y ) = x 2 + 5 xy + e 2 x +3 y f x = f y = f xx = f yy = f xy = 2. Find all the critical points for the function f ( x, y ) = x 3 3 - xy + y 2 2 + 43. (Hint: f x ( x, y ) = x 2 - y and f y ( x, y ) = y - x ). 3. Suppose that we have the following table of values for the points (1 , 1), (1 , 2), and (1 , 3). Classify the points as locations of a relative maximum, a relative minimum, or a saddle
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Unformatted text preview: point. If it is impossible to tell if there is a saddle point or extremum at the point using the test in 9.3, then write “I cannot tell”. ( a, b ) f xx ( a, b ) f yy ( a, b ) f xy ( a, b ) (1,1) 1 2-2 (1,2)-3-5 1 (1,3) 2 8 4 (1 , 1) : (1 , 2) : (1 , 3) :...
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## This note was uploaded on 02/18/2012 for the course MATH 119 taught by Professor Wilde during the Fall '08 term at BYU.

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