=(2y-1)² drdy. blem 1 CHANGE OF VARIABLES. Let 9 = {(x, y) € R²; y + y - z| ≤ 1} and = [[{ x² + 3 (i) Sketch the graph of the domain and then use it to give a change of variables u and v. (ii) Evaluate the double integral I.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Problem 1 CHANGE OF VARIABLES.
Let
= {(x, y) = R²; y + y - x ≤ 1} and I = = 11₂² -drdy.
(2y - x)²
2² +3
and then use it to give a change of variables u and v.
(i) Sketch the graph of the domain
(ii) Evaluate the double integral.
Transcribed Image Text:Problem 1 CHANGE OF VARIABLES. Let = {(x, y) = R²; y + y - x ≤ 1} and I = = 11₂² -drdy. (2y - x)² 2² +3 and then use it to give a change of variables u and v. (i) Sketch the graph of the domain (ii) Evaluate the double integral.
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