MATH 1132Q Final: Final Exam Spring 2015 Solutions

• School: UConn
• Department: Mathematics
• Course: MATH 1132Q
• Professor: All

Document Summary

Important notice: to prepare for the nal exam, one should study the past exams and practice midterms (and homeworks, quizzes, and worksheets), not just this practice nal. False beyond its rest length, then 36 ft-lbs of work is done in stretching the spring from its natural length to 6 feet beyond its rest length. Work done stretching the spring from x = 0 to x = 6: = 108 ft-lbs (b) the trapezoid rule with n = 5 for z 4. Justi cation: the curve y = 1/(2x + 1) is decreasing and concave up, so the trapezoids cover the graph throughout. The estimate is larger than the integral. y x (c) ln (2. 5) = 1. 5 (1. 5)2 + We have ln(1 + x) = x x2 + 5 x5 for 1 < x 1; the series on the right diverges for |x| > 1.