APPM 1350 Midterm: appm1350spring2014exam1
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Instructions: books, notes, and electronic devices are not permitted. 1350/exam 1, (3) lecture number/instructor name and (4) fall 2013 on the front of your blue- book. Also make a grading table with room for 4 problems and a total score. A correct answer with incorrect or no supporting work may receive no credit, while an incorrect answer with relevant work may receive partial credit. |x 1| (d) f (b2 + 1) =? given that f (x) =(|x| + 1, X + 1, (b) lim x 1+ (c) lim x 0. X sin(cid:18) 1 x(cid:19) if x < 1 if x 1: (12 pts) for what value(s) of k is the function f (x) =(sin(kx), 3x, if x 0 if x > 0 continuous at x = 0. A complete answer will include the de nition of continuity: (10 pts) show the equation x + 2 cos(4x) = 0 has at least one solution.