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b) Approximate [₁₂²² + y²dA where D is region inside the upper unit semi-circle centered at the origin (inside the circle, above the x-axis). I want you to approximate this using a polar Riemann sum, dividing 0 into 6 subdivisions, and dividing r into 3 subdivisions (so there will be a total of 18 pieces). Use the point with minimum and maximum r in each subdivision piece as the point you put into the function.

b) Approximate [₁₂²² + y²dA where D is region inside the upper unit semi-circle centered at the origin (inside the circle, above the x-axis). I want you to approximate this using a polar Riemann sum, dividing 0 into 6 subdivisions, and dividing r into 3 subdivisions (so there will be a total of 18 pieces). Use the point with minimum and maximum r in each subdivision piece as the point you put into the function.

Advanced Engineering Mathematics
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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b) Approximate SS₁ +²³² + ²+y¹ dA where D is region inside the upper unit semi-circle centered at the origin (inside the circle, above the x-axis). I want you to approximate this using a polar Riemann sum, dividing into 6 subdivisions, and dividing r into 3 subdivisions (so there will be a total of 18 pieces). Use the point with minimum and maximum r in each subdivision piece as the point you put into the function.
Transcribed Image Text:b) Approximate SS₁ +²³² + ²+y¹ dA where D is region inside the upper unit semi-circle centered at the origin (inside the circle, above the x-axis). I want you to approximate this using a polar Riemann sum, dividing into 6 subdivisions, and dividing r into 3 subdivisions (so there will be a total of 18 pieces). Use the point with minimum and maximum r in each subdivision piece as the point you put into the function.
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