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(1,1) = H dy =1(2y - y*)3 - y*| dy =, (8y* – 12y* + 6y5 - y6 – y")dy =(8y - 12y' +6y" – 2y) dy =(4y - 6y + 3ys - y*)dy 11 105 3x11 11 105 Ry = 105 35 H.W. Find ly,ly, Ry and Ry

(1,1) = H dy =1(2y - y*)3 - y*| dy =, (8y* – 12y* + 6y5 - y6 – y")dy =(8y - 12y' +6y" – 2y) dy =(4y - 6y + 3ys - y*)dy 11 105 3x11 11 105 Ry = 105 35 H.W. Find ly,ly, Ry and Ry

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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90ll ll 匈区er:Er 2_53575799577929... -> 'y= JJ U y Jun - Ja Jy2 A uAuy 12 Multiple Integral (1,1) = H dy = (2y- y)* - y*| dy = (8y* - 12y* + 6y5 - y6 - y")dy = (8y - 12y' + 6y- 2y ) dy = (4y3 - 6y* + 3y5 – y)dy Ry = V35 H.W. Find I, ly, R, and Ry To find the integral of a function f(x,y) over a region R, the region is divided into rectangles when we work with polar coordinates (r, 0), it is natural to divide R into "polar rectangles". 13 Multiple Integral Suppose that a function f(r, 0) is defined over a region R bounded by the rays 0 = a and 0 = B and the continuous curves r = f.(0) and r = f(0) as shown in the figure below: 8=TT/2 r= f(8
Transcribed Image Text:90ll ll 匈区er:Er 2_53575799577929... -> 'y= JJ U y Jun - Ja Jy2 A uAuy 12 Multiple Integral (1,1) = H dy = (2y- y)* - y*| dy = (8y* - 12y* + 6y5 - y6 - y")dy = (8y - 12y' + 6y- 2y ) dy = (4y3 - 6y* + 3y5 – y)dy Ry = V35 H.W. Find I, ly, R, and Ry To find the integral of a function f(x,y) over a region R, the region is divided into rectangles when we work with polar coordinates (r, 0), it is natural to divide R into "polar rectangles". 13 Multiple Integral Suppose that a function f(r, 0) is defined over a region R bounded by the rays 0 = a and 0 = B and the continuous curves r = f.(0) and r = f(0) as shown in the figure below: 8=TT/2 r= f(8
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