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Unformatted text preview: ~ b =  ~a  ~ b  cos θ So, 1. 2 2. 3. Example 3 Suppose T ( x, y ) = 70 + xy represents level curves around a heat source. Let P (2 ,1) be a point where you are sitting. 1. How hot is it? 2. If you move in the direction of ~ A = <1 , 1 > is it getting hotter or cooler? 3 3. Find the direction of maximum temperature. .. increase? decrease? What is the maximum increase? 4. Find the direction to stay at 68 ◦ . 4 Example 4 Suppose at P (1 , 0) the derivative in the direction of <4 , 2 > is 1 and in the direction of < 2 , 1 > it’s 2. Find the derivative at P (1 , 0) in the direction of < 1 ,1 > . 5...
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This note was uploaded on 03/03/2010 for the course MATH 2224 taught by Professor Mecothren during the Spring '03 term at Virginia Tech.
 Spring '03
 MECothren
 Derivative, Multivariable Calculus, Vectors

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