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Author Question: Let F = i + j + K k. For what value of the constant K is F conservative? If K has that value, find ... (Read 70 times)

jeatrice

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on: May 27, 2021

Question 1

Which of the following three vector fields is conservative?
F  =  (4xz + 4y2) i  +  (xy + z2) j  +  (2yz + 2x2) k,    
G  =  7xy j
H  =  F  +  G
◦ only F
◦ only G
◦ only  H
◦ only F  and  G
◦ All three are conservative.

Question 2

Let  F  =   i  +   j  +  K k.  For what value of the constant  K  is F  conservative?  If  K has that value, find the family of equipotential surfaces of  F.
◦ K = 2,   z  =  C(x2 + y2)
◦ K = -1,   z (x2 + y2) = C
◦ K = 1,   z2  =  C(x2 + y2)
◦ K = -2,   z2  =  C(x2 + y2)
◦ K = -1,   z  =  C(x2 + y2)
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Marked as best answer by jeatrice on May 27, 2021

zogaridan

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Reply #1 on: May 27, 2021
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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jeatrice

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Reply 2 on: May 27, 2021
Excellent

olderstudent

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Reply 3 on: Yesterday
Thanks for the timely response, appreciate it

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