Math 21HJan. 29, 1998Test #1Name:Read each question carefully, and be sure to show clearly how you got your answers as well aswhat your answers are.1. Diﬀerentiate the following functions:(a) [9 points]f(x)=e√x(b) [9 points]f(x) = arcsin(ex)(c) [9 points]f(xx-x2. Find these integrals:(a) [9 points]Zexex+1dx(b) [9 points]Z1x2+4dx3. [9 points] Solve forx:lnx+ ln(x-1)=ln2+ln64. Find the following limits:(a) [9 points] limx→0x+ sin 3xx-sin 3x(b) [9 points] limx→0+lnx√x(c) [9 points] limx→∞
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This note was uploaded on 01/24/2011 for the course MATH 21 taught by Professor Mathdep during the Winter '98 term at Missouri S&T.