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Handwritten Activity 1 Attempt

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Handwritten ActivitY
1
all
Answer the questions on this document or on separate paper' Show
in D2L'
complete, scin and submit your work to the assignment folder
work' When
Determinethe areaboundedbythecurves tr: Y2 -2A, fi: A' A: -2and
all work in the setup and evaluation
u : 4. Include a sketch of the region. Show
q -" ';'t-"#
of the integral(s) involved.
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Set up (do not evaluate) an integral to find the volume of the solid formed by
revolving the region bounded by A : 12 and U : 3n about the indicated axis
using the indicated method.
2.
(a) Rotate about the r-axis using the disk/washer method. -:p
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or
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?*1{*b"*
1L; Rotate about the r-axis using the method of cylindrical shells. -.-+
,
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e."Sjta": c Ql-+.)Ju
(c) Rotate about the line r = -2 using any method.
ilgq-
,,
..2
U=*
x=-il[
4_
irf; f irn.)'-
(d) Rotate about the line a :
'.\
B'*lFt
I 4f , " U
-2
{=
--
a_-A
3x
'F
oG
i nr-?1'6a'Hr1t
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'Yn
5=z5=4
r
3r
(I*-)"L
using any method'
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3.
Consider the region bounded by
(a)
r:
9
-
a2 and
r:
6
-
2a'
of the solid
Use the method of your
Set up but do not evaluate an integral to determine the volume
generated by rotating the region about the line
n
: l0'
choosing.
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is
q'
*
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(b)
Set up but do not evaluate an integral to determine the volume of the solid
rotati
region about the line U : 5. Use the method of your
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