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Calculus I

by: Eldon Trantow
Eldon Trantow
GPA 3.99


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Class Notes
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This 8 page Class Notes was uploaded by Eldon Trantow on Monday October 19, 2015. The Class Notes belongs to MA 111 at Rose-Hulman Institute of Technology taught by Staff in Fall. Since its upload, it has received 19 views. For similar materials see /class/225075/ma-111-rose-hulman-institute-of-technology in Mathematics (M) at Rose-Hulman Institute of Technology.


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Date Created: 10/19/15
MA 111 Integration and Summation Review Quiz Fall 2003 2004 Instructions Do all problems without the aid of any books notes calculators or computers 7nn1 n 27nn12n1 n 37n2n12 i1 i1 1 z34z35z4dz 3z445z5dz gxzgx52x60 2 is 1 is e wdx7 e EC 3 7r2 2 oosx 3 sinz 7 oos2x 5 sin2dz o 1 5 7r2 2sinx73oosz7 s1n2x7 oos2zJ i 2 7T 3 7T 1 5 7 sin2 cos2 2s1n7r 200s7r 7 2sin07300s07 sin07goos0 lt22gtlt2gtw 2 2 2 2 31dx 2zB23212 12d2 1 1 4 5 3 2 7252251L2212 5 1 4 4 g4 22 2 7 g22 46 7 2 5 5 5 For the following rst rewrite 22237a1L b 1z2 7 12 for appropriate 1 and b 222 i 2zz21 1z2 7 12 7 2z211 7 12 7 2221 1 i 1z2 12 1 27 1z2 1 71 1 1 1 d x 2d z 1 z 1 7 4 arctan 1 4 arctan 1 7 arctan 1 7T 77139 4 777 4 4 41 Hgm mgm 1 2 1 x2 2 ilnm 71n 2 72 2 1 lt 1n1gt 721n221n27 lt 1n1gt 0 se02617 31112 we 3802600320d6 1d6 9 O 100 100 Zlt 127 i12 Z 22 17 272 12 i1 i1 100 24 i1 4100101 2 20200 9 Suppose y z 1y1 3 Find we 20 310cm 91j 3 Int 31n we zltzgtdz 7 dx i 2 lnC 3 1n1O O 3 31n 10 Suppose y z cosx 7 sinx7 y0 57 y 0 37 Find we y ltogt my mdt yO f 0030 7 sint dt 3 sint cost3 3 sinz cosx 71 2 sinz cosx o 5 w 2 sint COSW dt 5 2t 7 cost sint3 5 2x 7 cosx SinW 1 6 2x sinx 003W MA 111 Calculus ll Worksheet 2 Trigonometrio functions and Maple Professor Broughton Fall 03 04 Name Box For the rst few days we will do a small amount of precalculus review es pecially trigonometric7 exponential and logarithmic functions in the context of learning to use maple For this exercise hand in both the worksheet and the Maple worksheet 1 Let ft A coswt b Fix w and 15 Draw three simultaneous graphs of the function with three different values of A What is the effect of A 2 Same as 1 except that A and b are held xed and w is varied What is the effect of w What is the frequency of f What is the period 3 Same as 1 except that A and w are held xed and b is varied What is the effect of b 4 Graph y tan and solve equation tan 2 graphically Solve tan3 5 2 5 Find the solutions to the above using inverse functions 6 For the following functions7 nd the inverse function and plot on a suitable domain sinz7 cos2x1tan2x 57 seC1x


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