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Unformatted text preview: ~ r ( t ) = (cos 3 t, sin 3 t ) on the interval ≤ t ≤ π/ 2 . ANSWER: 3 4. (10 points) A racecar driver drives on a mountain road. Her position function is ~ r ( t ) = (cos t, 2 sin t ) . The height of the mountain is given by the function h ( x, y ) = x 22 xy + 3 y 2 . Find the rate of change of her elevation at a function of t . Hint: We are computing d dt h ( ~ r ( t )) . ANSWER: 4 5. (10 points) Sketch the level curves of the function shown below. Use the x and y coordinate values shown on the sides of the plot to help you ﬁgure out the shape of the curves. 5...
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This note was uploaded on 03/12/2012 for the course MATH 2500 taught by Professor Staff during the Spring '08 term at UGA.
 Spring '08
 Staff
 Math

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