MAC 2312 Study Guide - Midterm Guide: C Shell, E-Governance, New Zealand Dollar

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Area between carves
A=fba[ fcxl -gcxi ]d×
*top is f( ×)
Memorize Common graphs :
1graph
2find a& Bby seeing
where graphs cross by
Setting them
=to eachother
3solve anti
4plug in a &B
Sideways Graph
A =fdc|f( y)-gc g) |dy
*positive side is fcg )
(could Just Switch X&y and solve normally )
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Document Summary

Setting graphs them by seeing cross by to eachother. Gc g) |dy positive side is fcg ) could. 4 find volume enclosed by the curves y=x and x2 y rotated about axis. Yo ( xz . xt ) ax it - )/j it ( z. Circumference fcx height o a< b thickness about normally used when rotating radius is too hard to solve. Obtained by rotating region about y bounded axis by y. I fxsinxdx sometimes has to be done twice fcx f. X ( 1 ) dx xcosx sin g cosx xcosxtsinx tfsotftgetting. J tz in tz in a gicx )= i glx xtan. 5 #,z dx ( 1 + . Sin transform transform others others to sin to. "z ( 1 coszx c0s2 = tz ( 1 cos. =l cos2 c- sin2 f ( 1 u2 da f 3 sinx tzsinsx. 2 7 dx tz ( it tzsinzo ) tz sinzx tz ( l coszx x.

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