Consider the region R shown in the following figure, which involves the curves of equations 72 x2 + y? = 4, 4 y? 1. 9. R -2 The double integrals that allow to calculate the area of the region R correspond to dydz + , Ja 1-4) dydx 4-r2 V«(1-4) dædy B) dxdy + /4-y? 4-y2 dxdy + V4-y? -3 drdy V(1-4) dydx + D) dydx -2 J 4-x² 1.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Consider the region R shown in the following figure, which involves the curves of equations
x2 + y? = 4,
4
y?
1.
%3D
%3D
-
9
R
2
-2
2
The double integrals that allow to calculate the area of the region R correspond to
A)
-2 JV4-x?
1-4)
dydx
dyda + J
1-몽)
dxdy
(1-#)
B)
dxdy +
4-y2
dzdy + , L-)
a(1-)
dxdy
4-y2
4-y?
4(1=)
V(1-4)
dydx + .
9(1-
D)
-2 J-V4-a2
dydx
V4-a2
Transcribed Image Text:Consider the region R shown in the following figure, which involves the curves of equations x2 + y? = 4, 4 y? 1. %3D %3D - 9 R 2 -2 2 The double integrals that allow to calculate the area of the region R correspond to A) -2 JV4-x? 1-4) dydx dyda + J 1-몽) dxdy (1-#) B) dxdy + 4-y2 dzdy + , L-) a(1-) dxdy 4-y2 4-y? 4(1=) V(1-4) dydx + . 9(1- D) -2 J-V4-a2 dydx V4-a2
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