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EXAMPLE 3 Double integral with a change of variables given Evaluate the inte- gral ffR V2r(y – 2r) dA, where R is the parallelogram in the xy-plane with vertices (0,0), (0, 1), (2, 4), and (2, 5) (Figure 16.79). Use the transformation T:x = 2u and y = 4u + v. y A (2, 5) B' (2, 4) 5+ C" 3 + 2+ A' 1 D" 2 x= 2u T: y = 4u + v v = y - 2r C D S B A Figure 16.79 4)

EXAMPLE 3 Double integral with a change of variables given Evaluate the inte- gral ffR V2r(y – 2r) dA, where R is the parallelogram in the xy-plane with vertices (0,0), (0, 1), (2, 4), and (2, 5) (Figure 16.79). Use the transformation T:x = 2u and y = 4u + v. y A (2, 5) B' (2, 4) 5+ C" 3 + 2+ A' 1 D" 2 x= 2u T: y = 4u + v v = y - 2r C D S B A Figure 16.79 4)

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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EXAMPLE 3 Double integral with a change of variables given Evaluate the inte- gral ffR V2r(y – 2r) dA, where R is the parallelogram in the xy-plane with vertices (0,0), (0, 1), (2, 4), and (2, 5) (Figure 16.79). Use the transformation T:x = 2u and y = 4u + v.
Transcribed Image Text:EXAMPLE 3 Double integral with a change of variables given Evaluate the inte- gral ffR V2r(y – 2r) dA, where R is the parallelogram in the xy-plane with vertices (0,0), (0, 1), (2, 4), and (2, 5) (Figure 16.79). Use the transformation T:x = 2u and y = 4u + v.
y A (2, 5) B' (2, 4) 5+ C" 3 + 2+ A' 1 D" 2 x= 2u T: y = 4u + v v = y - 2r C D S B A Figure 16.79 4)
Transcribed Image Text:y A (2, 5) B' (2, 4) 5+ C" 3 + 2+ A' 1 D" 2 x= 2u T: y = 4u + v v = y - 2r C D S B A Figure 16.79 4)
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