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Find the divergence of each of the following vector fields at all points where they are defined. x * ( | (a) div i + (x² + y² +22) 1.5 y (x² + y² + z2)¹.5- +5 ²+5) k) (b) div (3e²¹į + 3 cos(xy) j + 5eln(z²+y² (c) div ( (3x² - sin(xz)) i +3j – (sin(xz)) k): = + 2 (x² + y² +22) 1.5 k

Find the divergence of each of the following vector fields at all points where they are defined. x * ( | (a) div i + (x² + y² +22) 1.5 y (x² + y² + z2)¹.5- +5 ²+5) k) (b) div (3e²¹į + 3 cos(xy) j + 5eln(z²+y² (c) div ( (3x² - sin(xz)) i +3j – (sin(xz)) k): = + 2 (x² + y² +22) 1.5 k

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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Find the divergence of each of the following vector fields at all points where they are defined. x * ( | (a) div i + (x² + y² +22) 1.5 y (x² + y² + z2)¹.5- +5 ²+5) k) (b) div (3e²¹į + 3 cos(xy) j + 5eln(z²+y² (c) div ( (3x² - sin(xz)) i +3j – (sin(xz)) k): = + 2 (x² + y² +22) 1.5 k
Transcribed Image Text:Find the divergence of each of the following vector fields at all points where they are defined. x * ( | (a) div i + (x² + y² +22) 1.5 y (x² + y² + z2)¹.5- +5 ²+5) k) (b) div (3e²¹į + 3 cos(xy) j + 5eln(z²+y² (c) div ( (3x² - sin(xz)) i +3j – (sin(xz)) k): = + 2 (x² + y² +22) 1.5 k
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