Question 20 Set up the integral that calculates the area of the region enclosed by the circle x2 + y = 4² and the horizontal line y = 2/3 in the upper half plane (y 2 0), using polar coordinates. 2/3 1 (16-12 sec2(0)) de a) O S/6 b) O /6 (16 - 12 csc (@) dô 2R/3 5(16 – 12 csc (0) do c) O n/3 • 2x/3 1 (16 – 12 csc (0) dð d) O 5x/6 o) (16-12 sec" () do e) O 5a/6 1 f) O (16 – 12 sec (0) do g) ONone of the above.
Question 20 Set up the integral that calculates the area of the region enclosed by the circle x2 + y = 4² and the horizontal line y = 2/3 in the upper half plane (y 2 0), using polar coordinates. 2/3 1 (16-12 sec2(0)) de a) O S/6 b) O /6 (16 - 12 csc (@) dô 2R/3 5(16 – 12 csc (0) do c) O n/3 • 2x/3 1 (16 – 12 csc (0) dð d) O 5x/6 o) (16-12 sec" () do e) O 5a/6 1 f) O (16 – 12 sec (0) do g) ONone of the above.
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:Question 20
Set up the integral that calculates the area of the region enclosed by the circle x² + y = 4 and the horizontal line y = 2/3 in the
half plane (y 2 0), using polar coordinates.
upper
%3D
%3D
2n/3
a) O
元/3
(16 – 12 sec (0)) de
57/6
b)
5(16 – 12 csc (0)) do
/6
2n/3
(16 - 12csc (0) do
c)
T/3
2л/3
d)
5(16 – 12 csc (0) de
5л/6
e) O
5(16 – 12 sec (0) de
5a16
1
f) O
/ 5(16 – 12 sec°(0)) do
g) ONone of the above.
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