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If the covariant tensor has components in Cartesian coordinates x',x². Find its components in polar coordinates , x² where the transformation law from the Cartesian coordinate (x',x2) to polar coordinates (x', x?) are x' = sin(x²) + cos(x²) sin?(x²) cos²(x²) x² = -x cos(x²) sin(x?)

If the covariant tensor has components in Cartesian coordinates x',x². Find its components in polar coordinates , x² where the transformation law from the Cartesian coordinate (x',x2) to polar coordinates (x', x?) are x' = sin(x²) + cos(x²) sin?(x²) cos²(x²) x² = -x cos(x²) sin(x?)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If the covariant tensor has components in Cartesian coordinates x',x². r1' Find its components in polar coordinates ', x² where the transformation law from the Cartesian coordinate (x', x²) to polar coordinates (x², x²) are x' = sin(x²) + cos(x²) sin (x?) = -x! ·+x² cos(x²) cos?(x²) x? sin(x²)
Transcribed Image Text:If the covariant tensor has components in Cartesian coordinates x',x². r1' Find its components in polar coordinates ', x² where the transformation law from the Cartesian coordinate (x', x²) to polar coordinates (x², x²) are x' = sin(x²) + cos(x²) sin (x?) = -x! ·+x² cos(x²) cos?(x²) x? sin(x²)
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