MATH 2B Study Guide - Final Guide: Riemann Sum

• School: UC-Irvine
• Department: Mathematics
• Course: MATH 2B
• Professor: All

Document Summary

Math 2b: sample final 3: turn off your cell phone and do not check it during the exam, no calculators or other forms of assistance allowed, this exam consists of 12 questions for 100 total points. Sketch the riemann sum by drawing rectangles on the picture. (5) x f. 3 (7: a particle has velocity v(t) = 2t 5 ft/s at time t seconds. v (a) compute the displacement of the particle over the time inter- (4) val t = 0 to t = 3. 3 t (b) the distance travelled by the particle over the same time interval is given by. 0 (cid:0)5 2t(cid:1) dt + z 3 a (cid:0)2t 5(cid:1) dt where a is a constant. 4: a region r is drawn. (a) find the area of r. y. 1 x (b) set up, but don"t compute, an integral for the volume when r is rotated around the line (5) x = 2 : compute the integral z.