Find the area of the region enclosed by y = 2.75x and x = 7 - y².
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the area of the region enclosed by y = 2.75x and x = 7-y².
-1
2
2 3 4 5
Use horizontal strips to find the area, that is, integrate with respect to y.
First find the y coordinates of the two points where y 2.75 meets x =
lower limit c =
and
upper limit d =
To find the area of the enclosed region from c to d we will integrate:
Evaluate the definite integral to find Area =
7-y².
od
[²90
g(y)dy where g(y) =
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