MATH 141 Final: MATH141 ALL-SECTIONS FALL2012 0000 FINAL EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 141
• Professor: All

Document Summary

Put each of the 9 numbered problems on a separate answer sheet. Continue on the back of the sheet if you need added space. Your name & ta"s name & problem number on each answer sheet. Show your work for credit & no electronic devices. F(y) = 100(2e-yjh -1), where h is the constant scale height of the atmosphere. (the upward force decreases with altitude since the atmosphere density drops exponentially and eventually balances the density of the gas in the balloon. ) Find two intervals (possibly infinite) on which f has an inverse. Please turn over for the rest of the problems. 1: (a) (15) evaluate the indefinite integral. 1 t2~ dt (b) (10) evaluate the indefinite integral r7r/3. Jo sin2tcos3tdt: (a) (10) determine if the following integral is convergent or divergent. Jl ~(~. (b) (10) find the radius of convergence and the sum of.