(a) fr = 4xz2, fy = yz and f; = xz 2 sin (x), fy = cos(x)y and f: = e" z z + y? If, f = = frâ + fyŷ + ƒ;ê for all the functions. Then calculate Vf, V · F and V x F. [4] %3D (c) fr = 2xz, fy = y² and f; = z %3D fr + fy + fz and F

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
2. (a) fr = 4xz², fy
(b) fa = 2 sin (x), fy = cos(x)y and f = e"z
(c) fr = 2xz, fy = y² and f. = z + y?
If, f = fr + fy + f; and F
functions. Then calculate Vf, V · F and V x F. [4]
= yz and f; = xz
frâ + fyŷ + fz2 for all the
Transcribed Image Text:2. (a) fr = 4xz², fy (b) fa = 2 sin (x), fy = cos(x)y and f = e"z (c) fr = 2xz, fy = y² and f. = z + y? If, f = fr + fy + f; and F functions. Then calculate Vf, V · F and V x F. [4] = yz and f; = xz frâ + fyŷ + fz2 for all the
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