1 X 7-14 Evaluate the given integral by changing to polar coordinates. MOTO 7. fx²y dA, where D is the top half of the disk with center the origin and radius 5
1 X 7-14 Evaluate the given integral by changing to polar coordinates. MOTO 7. fx²y dA, where D is the top half of the disk with center the origin and radius 5
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
7
![-TT/2
° Jo
π/2
f/² [1 + 2 cos 20 + (1 + cos 40)] de
0
inates
ted
cos e de
20+ sin 20 + sin 40]=2(2)()- 37
SUA
2
17
da
3 x
CO
3/4 (2
5. S3 S² r dr do
T/4
TT/2
10.
!!
R
2
2
da
5-6 Sketch the region whose area is given by the integral and
evaluate the integral.
(2 age and ble
12
x² + y²
is given by
de
T
6. 571/2 50
TT/2
2 sine
7-14 Evaluate the given integral by changing to polar coordinates.
MOLTUNGS
7. jx²y dA, where D is the top half of the disk with center the
origin and radius 5
(₁8. jj (2x - y) dA, where R is the region in the first quadrant
JJR
2
enclosed by the circle x² + y² = 4 and the lines x = 0
and y = x
SAUDA
r dr de
R
9. ff sin(x² + y²) dA, where R is the region in the first quadrant
between the circles with center the origin and radii 1 and 3
dA, where R is the region that lies between the
BASA
2
81
circles x² + y² = a² and x² + y² = b² with 0 < a <b
11. ex²-y²dA, where D is the region bounded by the semi-
circle x = √√4- y² and the y-axis
19
1
2
2
2
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34f16726-3fe1-4d31-969a-c834e2b15ccd%2F57da36bf-0713-4e37-b6e0-c45ac3cf4d0f%2Fvrvjp0c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:-TT/2
° Jo
π/2
f/² [1 + 2 cos 20 + (1 + cos 40)] de
0
inates
ted
cos e de
20+ sin 20 + sin 40]=2(2)()- 37
SUA
2
17
da
3 x
CO
3/4 (2
5. S3 S² r dr do
T/4
TT/2
10.
!!
R
2
2
da
5-6 Sketch the region whose area is given by the integral and
evaluate the integral.
(2 age and ble
12
x² + y²
is given by
de
T
6. 571/2 50
TT/2
2 sine
7-14 Evaluate the given integral by changing to polar coordinates.
MOLTUNGS
7. jx²y dA, where D is the top half of the disk with center the
origin and radius 5
(₁8. jj (2x - y) dA, where R is the region in the first quadrant
JJR
2
enclosed by the circle x² + y² = 4 and the lines x = 0
and y = x
SAUDA
r dr de
R
9. ff sin(x² + y²) dA, where R is the region in the first quadrant
between the circles with center the origin and radii 1 and 3
dA, where R is the region that lies between the
BASA
2
81
circles x² + y² = a² and x² + y² = b² with 0 < a <b
11. ex²-y²dA, where D is the region bounded by the semi-
circle x = √√4- y² and the y-axis
19
1
2
2
2
2
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