APPM 1350 Midterm: appm1350spring2017exam2_sol

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31 Jan 2019
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Pick only one answer, no justi cation necessary - be sure to copy down the entire answer, don"t just write down the letter of your choice: (a) 2(x + 1) (b) cos(x)(x + 1) sin(x) (x + 1)2 (c) 2 sin2(x) (x + 1)3 (d) cos2(x) (x + 1)2 (e) cos2(x)(x + 1) sin(x) (x + 1)4. Note that y = 2(cid:20) sin x x + 1(cid:21) cos(x)(x + 1) sin(x) (x + 1)2. 2 sin(x) cos(x)(x + 1) 2 sin2(x) (x + 1)3. 2 sin2(x) (x + 1)3: (a)(10pts) suppose that 3 f (x) 5 for all values of x. Show that 18 f (8) f (2) 30. Hint: this problem can be done using one of the theorems we studied. Be sure to state the theorem you are using and justify why it applies. Show all work. (b)(15pts) ralphie is observing balloon launches with a telescope. Suppose a ballon is rising 400 feet from where ralphie is standing.

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