# 25_new - DiscGQ08 gilbert (55035) This print-out should...

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DiscGQ08 – gilbert – (55035) 1 This print-out should have 4 questions. Multiple-choice questions may continue on the next column or page find all choices 2. before answering. 001 10.0 points When z = P (x, y) is the pressure at a point (x, y) in the xy-plane, the level curves of P are called isobars and are indicated by color in the contour map 3. (dark = low). Which of the following includes 4. also the gradient vector field P ? 1. cor- rect Explanation: The gradient vector ( P )(x, y) points in the direction of increasing pressure and is per-pendicular to the isobar through (x, y). Consequently,

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DiscGQ08 – gilbert – (55035) 2 and so at P (−1, 2), L(x, y) = f (−1, 2) + f x (−1, 2)(x + 1) + f y (−1, 2)(y − 2) . Consequently, the linearization of f at P is L(x, y) = 3 − (x + 1) − 3(y − 2) , which after rearrangement becomes L(x, y) = 8 − x − 3y . keywords: linearization, partial derivative, radical function, square root function, 003 10.0 points includes also the gradient vector field P . Find the directional derivative, f V , of 002 10.0 points f (x, y) = p
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## This note was uploaded on 04/04/2012 for the course M 408d taught by Professor Sadler during the Spring '07 term at University of Texas.

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25_new - DiscGQ08 gilbert (55035) This print-out should...

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