7. Find the Jacobian of the transformation T(x, y) = (w sin(v²),w cos(v²)). X=w Sin (v?) w = sin (v?) v =W COS (v²). 2v %3D y= w cos (v?) Ym= cos (v?) %3D gu=-W sin (v^). 2v J= (sin (v*)) (-wsin(v3).2v) - (wcos (v}.2v) (cos(v?))
7. Find the Jacobian of the transformation T(x, y) = (w sin(v²),w cos(v²)). X=w Sin (v?) w = sin (v?) v =W COS (v²). 2v %3D y= w cos (v?) Ym= cos (v?) %3D gu=-W sin (v^). 2v J= (sin (v*)) (-wsin(v3).2v) - (wcos (v}.2v) (cos(v?))
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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