This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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...
View
Full Document
 Spring '08
 Staff
 Math, Vector Space, QUESTION VALUE SCORE

Click to edit the document details