APPM 1345 Midterm: appm134spring2014exam3
Document Summary
On the front of your bluebook, please write: a grading key, your name, student id, section, and in- structor"s name. This exam is worth 100 points and has 7 questions. Answers with no justi cation will receive no points. Please begin each problem on a new page. No notes, calculators, or electronic devices are permitted: (10 points) find the 100th derivative of the following functions. (a) f (t) = 7t (b) h(x) = ln(13x) + ln(cid:18) 1. 13x(cid:19: (16 points) for each of the following curves, nd an equation of the tangent line at the given value. (a) y = x ln x, x = e (b) y = (tan x)ln x, x = . 4: (22 points) find the values of x where the following curves have horizontal tangents. (a) y = x2 ln (2/x) (b) y = log6 x x. 1 + 2x2(cid:19: (20 points) evaluate the following integrals. (a) z tan(3x) dx (b) z e3x.
