MATH 222 Midterm: Kansas State MATH 222 222t2f94
7 Mar 2019
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The point value of each problem is indicated in the left margin. You must show all of your work for full credit. Points will be deducted for faulty reasoning, for sloppy notation, and for failure to simplify answers, even if your answer is correct. You may use a calculator, your class notes, and any reference material. Explicitly cite, in some manner, any published formulae you use. (10) 1. What is the natural domain of f (x, y) = y. Sketch the level curves at heights 4 for f (x, y) = y2 x2. 2 page 2 of 4 pages (15) 3. What does it mean to say that f (x, y) = x2 y is di erentiable at (1, 1) ? (15) 4. Find (x2 + yz 2xy z2) at p0 = (2, 1, 3) . Let r be a planar curve with r(1) = (1, 1) and.
