1) (. B enclosed by the curves Find the exact area of the region y = x² and y=x+ 20. Write your answer in 2-digit decimals as well.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1) (.
Find the exact area of the region
B enclosed by the curves
y = x² and y = x + 20.
Write your answer in 2-digit decimals as well.
2) () Find the exact volume of the solid
obtained by rotating the region B enclosed by the
curves
y = x² and y=x+ 20
about the x-axis. Write your answer in 3-digit
decimals as well.
3) (
Use the integral test to determine if the
series is convergent or divergent:
Σ
1
n=7n-In(n)³
Without calculating, what can you say if the power
3 is replaced by 4 ?
Transcribed Image Text:1) (. Find the exact area of the region B enclosed by the curves y = x² and y = x + 20. Write your answer in 2-digit decimals as well. 2) () Find the exact volume of the solid obtained by rotating the region B enclosed by the curves y = x² and y=x+ 20 about the x-axis. Write your answer in 3-digit decimals as well. 3) ( Use the integral test to determine if the series is convergent or divergent: Σ 1 n=7n-In(n)³ Without calculating, what can you say if the power 3 is replaced by 4 ?
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