Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 26CR
Question
![Evaluate the iterated integral by converting to polar coordinates.
(1)
2
S² So
0
From
2x-x2
2
√√x² + y² dy dx
x=0 to x=2¦ from y=0 to
y=
√Zx-x2
y 2² = 2 x = x²
x² + y²² = 2x
-y=0
x=2x _ + y² = 0
00
x=2
1=0
x²-2x+1.4² = 1
(x-1)² + y²=\
r=\ & C: (1,0)
√x² + y² = √√√² = √
5 Strindade = So So² +²ardo
r
SC133740 = 113 for [117³]-[0]³ de
13 de = 18[0] => 13 [m]-[0]
= 1/3/7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3a0818f-0d81-478d-a61f-965c220d631b%2F454d0a18-196a-4bbc-b4c1-9728339b0ce6%2Fda2yyqp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Evaluate the iterated integral by converting to polar coordinates.
(1)
2
S² So
0
From
2x-x2
2
√√x² + y² dy dx
x=0 to x=2¦ from y=0 to
y=
√Zx-x2
y 2² = 2 x = x²
x² + y²² = 2x
-y=0
x=2x _ + y² = 0
00
x=2
1=0
x²-2x+1.4² = 1
(x-1)² + y²=\
r=\ & C: (1,0)
√x² + y² = √√√² = √
5 Strindade = So So² +²ardo
r
SC133740 = 113 for [117³]-[0]³ de
13 de = 18[0] => 13 [m]-[0]
= 1/3/7
Transcribed Image Text:2x-x2
32.
√² √√21−x² √x² + y² dy dx
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