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Using cartesian coordination system only. No curvilinear coordination system allowed. 4. If a scalar field f is solely dependent on r, not the direction of 7 (i.e., f(F) = f(r)), show that Vf = f (hint: chain rules; and x8 + y9 + z2, = =) dr

Using cartesian coordination system only. No curvilinear coordination system allowed. 4. If a scalar field f is solely dependent on r, not the direction of 7 (i.e., f(F) = f(r)), show that Vf = f (hint: chain rules; and x8 + y9 + z2, = =) dr

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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Using cartesian coordination system only. No curvilinear coordination system allowed. 4. If a scalar field f is solely dependent on r, not the direction of 7 (i.e., f(F) = f(r)), show that x8 + yỹ + z2,A = ) Vf = "A (hint: chain rules; and 7 = dr
Transcribed Image Text:Using cartesian coordination system only. No curvilinear coordination system allowed. 4. If a scalar field f is solely dependent on r, not the direction of 7 (i.e., f(F) = f(r)), show that x8 + yỹ + z2,A = ) Vf = "A (hint: chain rules; and 7 = dr
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