Find the Jacobian of the Transformation $x = \rho \sin \phi \cos \theta$

question 156

Multiple Choice

Find the Jacobian of the transformation $x = \rho \sin \phi \cos \theta$ , $y = \rho \sin \phi \sin \theta$ , $z = \rho \cos \phi$ .

• A)\(\theta\)
• B) \(\beta ^ { 2 } \sin \phi\)
• C) \(\rho \sin \phi\)
• D) \(\rho ^ { 2 } \cos \phi\)
• E)2\(\theta\)
• F) \(\rho ^ { 2 } \sin \theta\)
• G) \(\rho \sin \theta\)
• H) \(\rho \cos \phi\)

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