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Unformatted text preview: 12 ² .) (a) (12 pts.) What is the matrix A ? (b) (8 pts.) What is the matrix A 2 ? 4) Use the approximation formula to estimate the hypotenuse of a right triangle with sides of length 2 . 9 and 4 . 1. Give your answer to two places after the decimal point. 5) A hamster is running clockwise around a circle of radius 2 centered at (0 , 0). It runs with constant speed 3, and stays in the xyplane (hamsters do not ﬂy). At time t = 0, it is at (0 , 2). Find a formula for its position vector r ( t ) as a function of t . This is the end! Scratch work, or continuation of work on problem number (Detach and recycle this page if it is not part of your solutions.) Scratch work, or continuation of work on problem number (Detach and recycle this page if it is not part of your solutions.)...
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 Fall '08
 Auroux
 Critical Point, Multivariable Calculus, 2 K, student ID number, BJORN POONEN

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