APPM 1360 Midterm: appm1360fall2017exam1_sol
Document Summary
Appm 1360 calculus 2 for engineers fall 2017. This exam is worth 100 points and has 4 questions: on the front of your bluebook, write your name, a grading key, and appm 1360, show all work! Answers with no justi cation will receive no points: begin each problem on a new page, no notes or papers, calculators, cell phones, or electronic devices are permitted. 2 sin2(x) = 1 cos(2x) sin(2x) = 2 sin(x) cos(x) cos(2x) = cos2(x) sin2(x) A2 u2 a2 + u2 = u u2 a2 du. 1 a sec 1 |u/a| + c, u2 > a2. Z b a f (x)dx x[f ( x1) + f ( x2) + + f ( xn)] where x = A n and xi = xi 1 + xi. [f (x0) + 2f (x1) + + 2f (xn 1) + f (xn)] where x = 12n2: (30 points) evaluate the following integrals.
