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**Unformatted text preview: **Name W
1. Evaluate /(62 + 1) costH. Helm 004.9099 = [91mﬁdéw Imam £1,531,049) ’0': M9) A") Name 3. Evaluate / V332 — l
3:2 dm. Hint: you may at some point want to use sin2 6’ = 1 — C082 09. Name Nz-l = JAeJOH ”17‘7““? W Jifwf )t—MB WMIS’iB
ff M29 Name 0° sin2 :1: , ,
4. Does d3: converge or dlverge? lee your reasons.
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X x1 0 Y Name 5. For each of the following three series, state Whether it converges or diverges and give
your reasons. 00771-2” ‘ .
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W [email protected]“)\ N ame 6. For what values of :6 does each of the following two series converge? Give your reasons. Wt
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W M 3 X=0 MW 2 (:%)WV£ W Name 7 . Find the second order Taylor polynomial of tam‘1 :6 about the center a = % Name 8. Find 3/101 with an error at most 0.0001. Hint: 3/10 2 (1 + 0.01)1/3. @{[x)3(1+7‘)"g New”) WW“W‘ Name 9. a) Draw the graph of the ﬁrst two turns of the spiral given in polar coordinates by r = 26
(that is, for 0 g 6 g 471'). b) Find the area of the region enclosed between the ﬁrst and second turn of the spiral
(i.e., the region between the curves 7" :: 26 for 0 g 9 g 27r and 7“ 2 20 for 27r S 0 3 471', as
well as the positive {Is—axis between 0 and 471'). 1m 2.,r
A] —% (133749” imitate 11f
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’9‘ 1119 ﬁe
.. 3., 93]“ > 3.. (ha—21.813: Egg-”5
“ a 1* 3 3 3 H Name 10. Find all real or complex solutions to 28 — 24 —— 2 z 0. Name 11. The region inside the curve $2 y2
_ __:1
9+4 and above the m-axis is revolved about the x-axis. Find the volume. Name 12. Solve the initial value problem dy 3
——~2: 1:.
wdm y 9:8 M) 0 aOMoQ 3} 76 :
&.3 3X28} M X
V‘M/LM/vw WWW Pﬁ):‘;)QW'—k2x'c ...

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- Fall '07
- Nelson