APPM 1345 Midterm: appm134spring2014exam2
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 5 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: (28 points) evaluate the following. (a) z (7 t)3. 0 dt sec2 (1 + 7 tan )2/3 d (c) the area of the shaded region shown below. y x. 3 x: (22 points) the following questions are related to the function y = x sin x, which is increasing on. [0, /2]. (a) verify by differentiation that the following formula is correct. 0 t /2: find the displacement of the particle, find the total distance traveled by the particle. (e) use the fundamental theorem of calculus to nd the derivative of z.
