MATH 2Z03 Midterm: old sample questions.pdf
3 Dec 2014
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Tests submitted in pencil will not be considered later for remarking. 10 pages (make sure you have all 10 pages). The last page is for scratch or over ow work. Do not add or remove pages from your test. The only calculator permitted is the mcmaster standard calculator, the casio fx 991. There is only one correct answer in each multiple-choice problem. Circle the letter (a,b,c,d or e) corresponding to your choice. Ambiguous answers will be marked as wrong: (4 pts. ) Let y(x) be the unique solution to the initial value problem (cid:26)y = y (y 1) cos(y), y(0) = a. Suppose that the solution y(x) satis es y(x) = lim x + . What can be said for sure about the number a? (hint: do not try to solve the ode) (a) 1 < a < . 2 (b) 0 < a < 1 (c) . 2 < a < 0 (d) 1 < a < 3 .
