The mapping T(

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The mapping T(u, v) = (u² – v² , 2uv) transforms the rectangle 1 <u < 2, 1 < v < 3 of the uv-plane into a
region R of the aY-plane.
|
(a) Show that T is one-to-one.
(b) Find the area of R using the change of variables formula.
Transcribed Image Text:The mapping T(u, v) = (u² – v² , 2uv) transforms the rectangle 1 <u < 2, 1 < v < 3 of the uv-plane into a region R of the aY-plane. | (a) Show that T is one-to-one. (b) Find the area of R using the change of variables formula.
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