01:640:151 Study Guide - Final Guide: B Movie, Marsupial, List Of Association Football Teams To Have Won Four Or More Trophies In One Season
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Math 151, fall 2009, review problems for the final exam. Your nal exam is likely to have problems that do not resemble these review problems. Find(cid:82) 8 dx , (cid:90) 2 (3) evaluate(cid:90) (1 + x)(2 + 3x) dx , (cid:90) 2 (4) find(cid:90) x2ex3+4 dx,(cid:90) sin x cos x dx,(cid:90) tan x sec2 x dx. 3 cos x for all x in [a, b]. 1 f(x) dx = 14, tiable. (5) a bacterial population quadruples in size every 7 days. How many days does it take for this population to triple in size? (6) explain why the function f(x) = (cid:110) 2x + 1. 4x 1 (7) a continuous function f(x) is de ned by f(x) = (cid:26)|x| ln|x| where a is a constant. Find the intervals where f(x) is increasing and the intervals where f(x) is decreasing. Find the intervals where f(x) is concave up and the intervals where f(x) is concave down. (9) consider f(x) = x6.