MATH 140 Exam Solutions Fall 2018: Tibet, Ibm Aix, Smoothness

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MATH 140 Full Course Notes
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MATH 140 Full Course Notes
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Part a -"brief (1)a microbial size? (your answer will be in terms of logarithms!) How many days does it take to triple doubles in answer is worth 5 points. population. 2013 in for all positive real numbers and satisfies the equation (2)a function. J(x) is defined for every x > 0. Answer: ____ __, (3)if f (x) = tan2 x -scc2 x. then find j" X. - x c,::ri""x - (a") 1 x: ur. , 1-x Answer: h-+0: -cos v"4 (4)f. d h 1. 1 f"(i)= - 2 g l (5)find an equation. Lt-1-( 2-x, jt- j,) t-&j j" -=-0 of the tangent line to the curve x4 - x2. ___ _ ---------- (l, 2). y + 3y2 = 11 at the poi11l. Vcos v"b:. (6)find f (x) if j(x) f 1(k):;;- _k {-s;,. ,. (jzx )) " l. 2013 (7)find the limit lim25 - . x-,25 5 -yx. _____________ (8)find the horizontal asymptotes of the curve y.