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Web Works #6 Spring 2009

Web Works #6 Spring 2009 - Assignment 6 The unit normal...

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Hector Hernandez Assignment 6 MATH262, Winter 2009 due 4/1/09 at 11:59 PM. 1. (1 pt) Match the surfaces with the verbal description of the level curves by placing the letter of the verbal description to the left of the number of the surface. 1. z x 2 y 2 2. z x 2 y 2 3. z 1 x 1 4. z 25 x 2 y 2 5. z 2 x 2 3 y 2 6. z 2 x 3 y 7. z xy A. a collection of unequally spaced parallel lines B. two straight lines and a collection of hyperbolas C. a collection of concentric ellipses D. a collection of unequally spaced concentric circles E. a collection of equally spaced parallel lines F. a collection of equally spaced concentric circles 2. (1 pt) Find the limit, if it exists, or type N if it does not exist. lim x y 0 0 2 x 2 4 x 2 1 y 2 3. (1 pt) Find the limit, if it exists, or type N if it does not exist. lim x y 0 0 x 17 y 2 x 2 17 2 y 2 4. (1 pt) Find the limit, if it exists, or type N if it does not exist. (Hint: use polar coordinates.) lim x y 0 0 6 x 3 9 y 3 x 2 y 2 5. (1 pt) Consider the function defined by F x y xy x 2 7 y 2 x 2 y 2
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