Consider the double integral 1 dA 9 – (r² + y²)³/2 R where R is given by the region between the two semicircles with radii of 1 and 2, above the a-axis. Please compute the area of R. Please show that the function ywa is constant on each of the two bounding semicircles. Please give a lower bound and an upper bound for the double integral using the above information.

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.
Chapter8: Further Techniques And Applications Of Integration
Section8.1: Numerical Integration
Problem 22E: Repeat the instructions of Exercise 21 using the integral in Exercise 8. 21. For the integral in...
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Consider the double integral
1
dA
9 – (x² + y²)3/2
where R is given by the region between the two semicircles with radii of 1 and 2, above
the r-axis.
Please compute the area of R.
Please show that the function -J3/2 is constant on each of the two bounding
semicircles.
Please give a lower bound and an upper bound for the double integral using the above
information.
Transcribed Image Text:Consider the double integral 1 dA 9 – (x² + y²)3/2 where R is given by the region between the two semicircles with radii of 1 and 2, above the r-axis. Please compute the area of R. Please show that the function -J3/2 is constant on each of the two bounding semicircles. Please give a lower bound and an upper bound for the double integral using the above information.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,