MATH 021 Final: math21_2008f_final
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Instructions: answer all questions, without the use of notes, books or calculators. Partial credit will be awarded for correct work, unless otherwise speci ed. The total number of points is 100: ( points: each) find the following limits. (b) (a) lim x 5 lim x 0+ lim x (c) [ln(5 + x) ln(2 + x): ( points) derivatives. 2x): ( points ) integrals (a) z (b) z 9. 1 + sin2 x x2 + 2 dx. X: ( points) a hot, wet summer is causing a mosquito population explosion in a lake resort area. The number of mosquitos is increasing at an estimated rate of 2500 + 8et per week (where t is measured in weeks). By how much does the mosquito population increase between the. 4th and 8th weeks of summer: ( points) a rectangular beam will be cut from a cylindrical log of radius 10 inches.
