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Unformatted text preview: saliyev (is4663) – Quest Assignment 18 – rodin – (54520) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points The temperature at a point ( x, y ) in the plane is T ( x, y ) ◦ C. If a bug crawls on the plane so that its position in the plane after t minutes is given by ( x ( t ) , y ( t )) where x = √ 1 + t , y = 4 + 2 3 t , determine how fast the temperature is rising on the bug’s path at t = 3 when T x (2 , 6) = 16 , T y (2 , 6) = 3 . 1. rate = 8 ◦ C / min 2. rate = 5 ◦ C / min 3. rate = 6 ◦ C / min 4. rate = 9 ◦ C / min 5. rate = 7 ◦ C / min 002 10.0 points The length ℓ and width w of the closed box shown in h ℓ w are increasing at a rate of 4 ft/min while its height h is decreasing at a rate of 8 ft/min. Find the rate at which the surface area of the box is increasing when ℓ = 5 , w = h = 3 feet ....
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This note was uploaded on 02/21/2012 for the course M 408d taught by Professor Sadler during the Fall '07 term at University of Texas.
- Fall '07
- Sequences And Series