Suppose that lim x,y → 4 , 6 f x,y = 9 What is the...

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pacheco (jnp926) – Preview 7 (2.2) – tegtmeyer – (54035) 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 2.0points Suppose that lim ( x,y ) (4 , 6) f ( x,y ) = 9. What is the value of f (4 , 6) if f is continu- ous? 3. 10 1. 5 2. 6 3. 3 4. 5 5. 2 . 5 Explanation: 004 2.0points 3 xy radicalbig x 2 + y 2 , if it exists. 4. 4 Find lim ( x,y ) (0 , 0) 5 xy 2 x 2 + y 2 , if it exists. 1. The limit does not exist. 2. 0 correct Find lim ( x,y ) (0 , 0)
5. 9 correct Explanation: 002 2.0points Use a table of numerical values of f ( x,y ) for ( x,y ) near the origin to make a conjec- ture about the value of the limit of f ( x,y ) as ( x,y ) (0 , 0). f ( x,y ) = x 2 y 3 + x 3 y 2 - 8 2 - xy . 1. - 8 2. Cannot determine the value from the given information. 3. 8 4. 4 5. - 4 correct Explanation: 003 2.0points 1. 1 . 5 2. 3 3. The limit does not exist.
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