Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). S √ 7 (1 - 2² - 3²) dA R R = 3 5 • {(r, 0) | 3 ≤ r ≤ 5, 7 T ≤ 0 ≤ IT}. Hint: The integral is defined in rectangular coordinates. The Region is defined in polar coordinates.

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.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 25E: Find the area between the curves in Exercises 1-28. x=0, x=4, y=cosx, y=sinx
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5.3.6

Evaluate the following integral over the Region R.
(Answer accurate to 2 decimal places).
√ √ 7(1 – 2² - y²) dA
R
3
6,2/T T≤ 0 < = T}.
R = {(r, 0) | 3 ≤ r ≤ 5,
Hint: The integral is defined in rectangular coordinates. The Region is defined in polar coordinates.
Transcribed Image Text:Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √ √ 7(1 – 2² - y²) dA R 3 6,2/T T≤ 0 < = T}. R = {(r, 0) | 3 ≤ r ≤ 5, Hint: The integral is defined in rectangular coordinates. The Region is defined in polar coordinates.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,