MATH 139 Midterm: MATH 139 McGill Examf01

• School: McGill University
• Department: Mathematics and Statistics
• Course: MATH 139
• Professor: All

Document Summary

You do not need to simplify your arithmetic: (8 pts. ) 2 x2px3 + 1 dx: (8 pts. ) Evaluate z x ln(5x) dx: (8 pts. ) Evaluate z sec42x tan x dx: (10 pts. ) The base of a solid object is the region bounded between the curves y = x3, x = 0, and y = 8. Set up (but do not evaluate) an integral that computes the volume of the object: (12 pts. ) Use the comparison test to determine the convergence/divergence of the improper integral z . 1 x5 x6 + x + 1 dx. Clearly indicate the comparison you are using, and whether it"s an underestimate or overestimate. (make sure to use an estimate appropriate for the conclusion that you reach. : (12 pts. ) 1 k (a) does the sequence {ak} (b) does the series. If not, explain why not: (6 pts. ) Xk=1 (5x)2k k (a) nd the radius of convergence; (b) nd the interval of convergence: (8 pts. )