CHAPTER 4 Gradient, Divergence, Curl ANSWERS TO SUPPLEMENTARY PROBLEMS 4.42. 10i-4j-16k, 2√93 4.43. 5, 7i-j-11k 4.44. (a) -4i +9i+k (h) 0: 2 9. IF À = 3 xy²² 2 + 2xy j - x³y²k & p = 3x² - y² FIND A) 7. À @ (1,-1,1) DA ax aà dx + OA oy J + JA dz 3^ 3yz ²³2 + 2y³j - 2xyz k 4.64. In the direction of 4i - 6j + 2k, 2√//14 4.65. a = 6, b= 24, c = -8 95 preted at the poin

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Good morning! I am trying to understand how to work this problem… wouldn’t I take the partial derivative with respect to each x,y, and z? What does phi represent in this problem?Any explanation would be greatly appreciated!
CHAPTER 4 Gradient, Divergence, Curl
ANSWERS TO SUPPLEMENTARY PROBLEMS
4.42. 10i-4j-16k, 2√/93
4.43. 5, 7i-j-11k
4.44. (a) -4i +9i+k (h) 0:
:
9. IF A = 3 xy²² 2 + 2xy j - x³y²k & Ø = 3x² - y²: FIND
し
J
A) 7. A @ (1,-1, 1)
¿Ã
ax
16/08
+
OA
+
JA
dz
ou
3y2²³2 + 2y³j - 2xyz k
4.64. In the direction of 4i-6j + 2k, 2√14
4.65. a = 6, b= 24, c = -8
95
ed at the poin
Transcribed Image Text:CHAPTER 4 Gradient, Divergence, Curl ANSWERS TO SUPPLEMENTARY PROBLEMS 4.42. 10i-4j-16k, 2√/93 4.43. 5, 7i-j-11k 4.44. (a) -4i +9i+k (h) 0: : 9. IF A = 3 xy²² 2 + 2xy j - x³y²k & Ø = 3x² - y²: FIND し J A) 7. A @ (1,-1, 1) ¿Ã ax 16/08 + OA + JA dz ou 3y2²³2 + 2y³j - 2xyz k 4.64. In the direction of 4i-6j + 2k, 2√14 4.65. a = 6, b= 24, c = -8 95 ed at the poin
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