a) [ : Find the volume of the solid obtained by rotating the region bounded by the lines «

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 22CR
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a) [
: Find the volume of the solid
obtained by rotating the region bounded by
the lines <<math
y = 3x + 6, y = 6 and x = 2
about the x-axis.
b) [
Determine whether the series
8
Σnºen7
n=1
is convergent or divergent.
c) [
: Consider the series:
7-1+
1
7
-
1
49
+ ...
i) Is the given series a geometric series?
Explain.
ii) Determine whether the series is
convergent or divergent. If it is convergent,
find the sum. If it is divergent, explain why.
Transcribed Image Text:a) [ : Find the volume of the solid obtained by rotating the region bounded by the lines <<math y = 3x + 6, y = 6 and x = 2 about the x-axis. b) [ Determine whether the series 8 Σnºen7 n=1 is convergent or divergent. c) [ : Consider the series: 7-1+ 1 7 - 1 49 + ... i) Is the given series a geometric series? Explain. ii) Determine whether the series is convergent or divergent. If it is convergent, find the sum. If it is divergent, explain why.
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