MATH 230 Midterm: Math 230 SP17Midterm2
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Instructions: please, write your solutions clearly and completely. Answers without work will be given no credit. Please turn o all phones and remove any smartwatches. Spring 2017: (8 points) for the following two questions, nd the limit if it exists, or show that the limit does not exist. (a) (4 points) lim (x,y) (0,0) 2xy x2 + 2y2 (b) (4 points) lim (x,y) (2,3) y2 x2 x2 + 2y2. Spring 2017: (10 points) find the linear approximation of the function f (x, y) = p17 x2 4y2 at (2, 1), and use it to approximate f (1. 97, 1. 03). Math 230 - midterm 2: (10 points) let z = e2r sin(3 ), r = st t2, = s2 + t2. when s = 0, t = 2. where. Math 230 - midterm 2: (12 points) find and classify the critical points of the function f (x, y) =
