MATH 241 Midterm: MATH 241 UIUC m1-2014
31 Jan 2019
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Instructions: write your name clearly and legibly in the space above, do not open until told to do so, show your work. Answers have to be justi ed: check that your copy contains 8 problems, some scratch paper, and a formula sheet. 856 23 cos 9 is ok; ab 2k(k 1) is not ok, since there are some a"s, b"s and k"s: books, notes, or calculators cannot be used. Only pens, pencils, and erasers are allowed: you can rely on anything result which was mentioned in class, or can be found in your textbook, if an answer box is provided, write your answer there. 1 (6 points): for each function f (x, y), label one graph that most closely matches the formula. You do not have to justify your answer. (a) f (x, y) = x2 y 2 (b) f (x, y) = e x cos(y) (c) f (x, y) = ( x)e (x2+y 2)
