MATH 222 Midterm: MATH 222 KSU Test 2 f14

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Instructions: wait to open the exam until instructed to do so. Then answer the questions in the spaces provided on the question sheets. If you run out of room for an answer, continue on the back of the page. You will have 1 hour and 20 minutes to complete this exam. October 23, 2014: find the limit, if it exists. October 23, 2014: evaluate the partial derivatives, if they exist. If they do not exist, explain why. (a) (5 points) fx(1, 2, 3) for f (x, y, z) = z sin( yx) + ezx 1. (b) (5 points) fxyz(1, 1, 1) for f (x, y, z) = eln(x2+y2) x3/100. + cos(zsin(x)) tan 1(y2 z2) (c) (5 points) fxy(0, 0) for f (x, y) = (x2 + y2)3/2. F = f (1/3, 3/5) f (1/2, 1/2). October 23, 2014 f (x, y) = ex3.