5 x? + y? = 16, y² - x = 4.

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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Question
Consider the region R shown in the following figure, which involves the curves of
equations x2 + y? = 16, y? - x = 4.
The double integrals that allow to calculate the area of the
region R correspond to
R
cy²-4
A) LL
B) LL.
dædy +
dædy
16-у?
/16-y2
y2-4
y²-4
dædy +
dxdy
(16-y2
16-y?
x+4
16-22
dydx +
dydx
-4 J
16-22
-4 JVr+4
x+4
16-r2
dydz + La
dydx
16-r2
x+4
Transcribed Image Text:Consider the region R shown in the following figure, which involves the curves of equations x2 + y? = 16, y? - x = 4. The double integrals that allow to calculate the area of the region R correspond to R cy²-4 A) LL B) LL. dædy + dædy 16-у? /16-y2 y2-4 y²-4 dædy + dxdy (16-y2 16-y? x+4 16-22 dydx + dydx -4 J 16-22 -4 JVr+4 x+4 16-r2 dydz + La dydx 16-r2 x+4
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