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Another derivative combination Let F = (f. g, h) and let u be a differentiable scalar-valued function. a. Take the dot product of F and the del operator; then apply the result to u to show that (F•V )u = (3 a + h az (F-V)u + g + g du + h b. Evaluate (F - V)(ry²z³) at (1, 1, 1), where F = (1, 1, 1).

Another derivative combination Let F = (f. g, h) and let u be a differentiable scalar-valued function. a. Take the dot product of F and the del operator; then apply the result to u to show that (F•V )u = (3 a + h az (F-V)u + g + g du + h b. Evaluate (F - V)(ry²z³) at (1, 1, 1), where F = (1, 1, 1).

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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Another derivative combination Let F = (f. g, h) and let u be a differentiable scalar-valued function. a. Take the dot product of F and the del operator; then apply the result to u to show that (F•V )u = (3 a + h az (F-V)u + g + g du + h b. Evaluate (F - V)(ry²z³) at (1, 1, 1), where F = (1, 1, 1).
Transcribed Image Text:Another derivative combination Let F = (f. g, h) and let u be a differentiable scalar-valued function. a. Take the dot product of F and the del operator; then apply the result to u to show that (F•V )u = (3 a + h az (F-V)u + g + g du + h b. Evaluate (F - V)(ry²z³) at (1, 1, 1), where F = (1, 1, 1).
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