MATH 021 Study Guide - Final Guide: Antiderivative, Constant Function, Minimax
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There are a total of eight problems on both sides of this paper and a total of 150 points: no books, notes, crib sheets, calculators or any other electronic devices are allowed. A correct answer with no supporting work may receive no credit while an incorrect answer with some correct work may receive partial credit: solve the following unrelated problems. (a) (7 pts) evaluate z xex. X + 1 x dx. (b) (4 pts) the world population is 6. 07 billions in year 2000, and it is increasing at a rate of r(t) billions per year t years after 2000. Write down an expression for what the world population will be in 2010. (c) (9 pts) calculate the exact area between the x axis and the curve y = sin2(x) cos(x) between x = 0 and x = 2: (20 pts: 2, 3, 5, 10) find the following limits if they exist.
