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 56 times)

jeatrice · **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)

zogaridan · **Reply #1 on:** May 27, 2021

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