APPM 2360 Midterm: archive_appm2360fall2018exam2_sol

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31 Jan 2019
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On the front of your bluebook write: (1) your name, (2) your instructor"s name, (3) your section number and (4) a grading table. Text books, class notes, cell phones and calculators are. A one page (letter sized 1 side only) crib sheet is allowed. Problem 1: (20 points) are the following statements true or false? (only answer true or. If a statement is not always true, reply false". Solution: (a) f (b) f (c) t (d) f (e) t. Problem 2: (20 points) (a) given n functions f1(x), f2(x), . , fn(x), give the de nition for these functions being linearly independent. (b) consider the speci c case of the functions {x, 1 + x, 2 + 3x}. Determine whether these three functions are linearly independent, or not. (c) de ne the wronskian w (x) of a general set of n functions f1(x), f2(x), .