Find a vector field F such that curl F = 8 i – 7j + 4 k. [Hint: Try F = T × 7 for some vector V ) °F - (-*+29) 7 + (2x – 42) 7 + (- 4y -) 7 7 = + 2y) 7 + (2x – 42)7 + ( - °7 - G+2) 7 +(- 2 + 42) 7 + (- 4y -) * G + 2y) 7 +(-2x + 4z) 7 + (-4-) O F = (- 72 - 4y) 7 +(4x – 82) 7 + (8y + 7x) k F = (-- 2») 7 + (2x – 42) 7 + (4v +3) 4y +x) k O F = (7z – 4y) 7 +(4x – 82)7 +(8y – 7x) k %3D
Find a vector field F such that curl F = 8 i – 7j + 4 k. [Hint: Try F = T × 7 for some vector V ) °F - (-*+29) 7 + (2x – 42) 7 + (- 4y -) 7 7 = + 2y) 7 + (2x – 42)7 + ( - °7 - G+2) 7 +(- 2 + 42) 7 + (- 4y -) * G + 2y) 7 +(-2x + 4z) 7 + (-4-) O F = (- 72 - 4y) 7 +(4x – 82) 7 + (8y + 7x) k F = (-- 2») 7 + (2x – 42) 7 + (4v +3) 4y +x) k O F = (7z – 4y) 7 +(4x – 82)7 +(8y – 7x) k %3D
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Is there a way to compute this without just manually checking the given solutions?
![Find a vector field F such that curl F = 87 – 77 + 4R.
[Hint: Try F = x7 for some vector ]
.(-글+2))7 +2x-4) 7+(-49-2)
O7 - (:+2) 7 +(- 2r + 42) 7 + (- 4y -)
+ 2y
2°
- 4y
7
+ 2y ) 7 +(- 2x + 42)7 +(- 4y - )
OF = (- 7z - 4y) í +(4x – 82) 7 + (8y + 7x) k
F = (-- 2y) 7 +(2x – 42) 7 + (4y +-
) 7
k
O F = (7z – 4y) 7 +(4x – 82) 7 + (8y – 7x) k](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7e0ba88-0786-454c-b4b5-22240a9787f4%2F223584bc-b024-465a-96e3-d5f23d0c6400%2Fm3km9d6i_processed.png&w=3840&q=75)
Transcribed Image Text:Find a vector field F such that curl F = 87 – 77 + 4R.
[Hint: Try F = x7 for some vector ]
.(-글+2))7 +2x-4) 7+(-49-2)
O7 - (:+2) 7 +(- 2r + 42) 7 + (- 4y -)
+ 2y
2°
- 4y
7
+ 2y ) 7 +(- 2x + 42)7 +(- 4y - )
OF = (- 7z - 4y) í +(4x – 82) 7 + (8y + 7x) k
F = (-- 2y) 7 +(2x – 42) 7 + (4y +-
) 7
k
O F = (7z – 4y) 7 +(4x – 82) 7 + (8y – 7x) k
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