Jacobian of the transformation. x = 8v + 8w2, y = 5w + 5u2, z = 3u + 3v z) II

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 45E
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Evaluate the integral by making an appropriate change of variables.
5 sin(25x2 + 16y2) dA, where R is the region in the first quadrant bounded by the ellipse 25x2 + 16y² = 1
Transcribed Image Text:Evaluate the integral by making an appropriate change of variables. 5 sin(25x2 + 16y2) dA, where R is the region in the first quadrant bounded by the ellipse 25x2 + 16y² = 1
Find the Jacobian of the transformation.
x = 8v + 8w², y = 5w + 5u2, z = 3u + 3v2
Әх, у, 2)
a(u, v, w)
Transcribed Image Text:Find the Jacobian of the transformation. x = 8v + 8w², y = 5w + 5u2, z = 3u + 3v2 Әх, у, 2) a(u, v, w)
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