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Unformatted text preview: paths to approach the limit point. (4) (10 points) Suppose a bullet is red vertically with speed 100 ms-1 starting at the point (0 , , 0) at t = 0 1. Write down the equation for the displacement vector. 2. After how long does it return to its starting point? Assume that the acceleration due to gravity g = 10 ms-2 . (5) (10 points) Suppose that an object has the following displacement vector- r ( t ) = ln t, ln t 2 , ln t 3 for t > . 5. How far along the space curve does the object travel between times t = 1 and t = 20? What type of space curve is this? (6) (10 points) Sketch a series of level curves of the function z = 2 x 2 + y 1...
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This note was uploaded on 01/27/2012 for the course MATHEMATIC MATH-UA.01 taught by Professor Hani during the Fall '11 term at NYU.
- Fall '11