Given a vector field is conservative. find a potential function 9 for F(x,y,z) = óxi + 4yj+ 1ázk a. d = 3x2 + 2y-&2+ C Ob. Ø = 3x² + 2y² + &z? + c ²+2y²+&z + C $ - 3x - 2y? + 82? + C d. 3 2. 2 2 8. z* + C No correct answer

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 12EQ
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Given a vector field is conservative. find a potential function for
F(x,y,z) = 6xi+ 4yj + 1ózk
a.
= 3x2+ 2y2 - 8z2+c
Ob.
d = 3x2 + 2y2+ &z?+c
OCd= 3x² – 2y2+ 822+ C
Od.
3 2
2 2
8.
,2
+5y" +
O e. No correct answer
Transcribed Image Text:Given a vector field is conservative. find a potential function for F(x,y,z) = 6xi+ 4yj + 1ózk a. = 3x2+ 2y2 - 8z2+c Ob. d = 3x2 + 2y2+ &z?+c OCd= 3x² – 2y2+ 822+ C Od. 3 2 2 2 8. ,2 +5y" + O e. No correct answer
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