Find the Jacobian of the transformation. x = 8v + 8w², y= 5w + 5u2, z = 3u + 3v2 дх, у, z) a(u, v, w) 96uvw – 120 x -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 20E
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Find the Jacobian of the transformation.
x = 8v + 8w², y = 5w + 5u², z = 3u + 3v²
дх, у, z)
a(u, v, w)
96uvw – 120 x
-
Transcribed Image Text:Find the Jacobian of the transformation. x = 8v + 8w², y = 5w + 5u², z = 3u + 3v² дх, у, z) a(u, v, w) 96uvw – 120 x -
Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 < 0 < 27.)
(a)
(5, –5, 2)
( 5v2, 2 ×
)
(b)
(-3, –3/3, 1)
( 6, )
3
Transcribed Image Text:Change from rectangular to cylindrical coordinates. (Let r 2 0 and 0 < 0 < 27.) (a) (5, –5, 2) ( 5v2, 2 × ) (b) (-3, –3/3, 1) ( 6, ) 3
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