qz03 - x , y ) ( , ) x 3 y x 6 + y 2 2. ( 15 points ) Find...

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Math 53 Summer 2005 Section: ± 002 (8:00-10:00) Quiz III, 07-08-2005 Name SID Show all work clearly in order, and circle your final answers. Write down the procedure of your calculation. DO NOT use your calculator. You have 20 minutes to take this 30 point quiz. 1. ( 15 points ) Evaluate the limit or show that it does not exist. ( a ) lim ( x , y ) ( 1 , 1 ) x 3 y x 6 + y 2 ( b ) lim (
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Unformatted text preview: x , y ) ( , ) x 3 y x 6 + y 2 2. ( 15 points ) Find an equation of the tangent place to the surface x 2 y + y 2 z + z 2 x = 3 at point ( 1 , 1 , 1 ) . 3. ( 2 points, extra credit) In the previous problem, nd the second derivative 2 z x y at the point ( 1 , 1 ) (with z = 1). Solution. 1...
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