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3 m408d exam 3 summer 09 name

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Unformatted text preview: y . € 6) Find the equation to the tangent plane to the surface given by z = xy at the point (1,1,1) . € € 3 € M408D Exam 3 Summer ‘09 Name________________________________ EID_____________ TA________________ Each numbered problem is worth 10 points. Show your work. 7) Use the chain rule to find ∂z ∂s and ∂z ∂t for z = x 2 y 3 , x = s cos t , and y = s sin t . (do not simplify) € € € € 8) Find the maximum rate of change of f ( x, y ) = y 2 x at the po...
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