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 -)+ 2y2°- 4y7+ 2y ) 7 +(- 2x + 42)7 +(- 4y - )OF = (- 7z - 4y) í +(4x – 82) 7 + (8y + 7x) kF = (-- 2y) 7 +(2x – 42) 7 + (4y +-) 7kO F = (7z – 4y) 7 +(4x – 82) 7 + (8y – 7x) k

Yes, there is a method to directly approach the answer with out just cross checking the options.

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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Question

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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

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