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For the following two problems, you must use cartesian coordinate system only. No curvilinear coordinate systems are allowed. 8. If a scalar field fis solely dependent on r, not the direction of f (i.e., f(F) = f(r)), show that vf=f(hint: chain rules; and f = x2 + y + z2, P =)

For the following two problems, you must use cartesian coordinate system only. No curvilinear coordinate systems are allowed. 8. If a scalar field fis solely dependent on r, not the direction of f (i.e., f(F) = f(r)), show that vf=f(hint: chain rules; and f = x2 + y + z2, P =)

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For the following two problems, you must use cartesian coordinate system only. No curvilinear coordinate systems are allowed. 8. If a scalar field f is solely dependent on r, not the direction of F (i.e., f(F) = f(r)), show that vf = (hint: chain rules; and = x2 + y + z2, P =)
Transcribed Image Text:For the following two problems, you must use cartesian coordinate system only. No curvilinear coordinate systems are allowed. 8. If a scalar field f is solely dependent on r, not the direction of F (i.e., f(F) = f(r)), show that vf = (hint: chain rules; and = x2 + y + z2, P =)
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