# Math 209 Midterm Solutions - Math 209 Midterm Solutions 1...

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Math 209 Midterm — Solutions 1. Either compute the following limit or show that it does not exist: lim ( x,y ) (0 , 0) p x 2 y 2 + 1 - 1 x 2 + y 2 .
2. (a) Let u ( x, y, z ) = e ax +4 y cos(5 z ). Find all values of the constant “ a ” which make the following true:
(b) Find ∂z ∂x and ∂z ∂y at the point P : (1 , ln 2 , ln 3) if xe y + ye z + 2 ln x - 2 - 3 ln 2 = 0. Solution
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Math 209 Midterm — Solutions 2