tut1 - a) lim ( x,y ) (0 , 0) xy 2 x 2 +3 y 2 b) lim ( x,y...

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Math 237 Tutorial 1 Problems 1. Sketch the level curves and cross sections for each of the following functions f : R 2 R . a) f ( x,y ) = p | 1 - x 2 - y 2 | . b) f ( x,y ) = x 2 - 2 xy . 2. Determine if each of the following limits exist. Evaluate the limits that exist.
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Unformatted text preview: a) lim ( x,y ) (0 , 0) xy 2 x 2 +3 y 2 b) lim ( x,y ) (0 , 0) xy 2 x 2 +2 y 2 c) lim ( x,y ) (0 , 0) x 2-6 y 2 | x | +3 | y | d) lim ( x,y ) (0 , 0) x 2 y x 4 + y 2 1...
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