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Consider F and C below.
F(x, y, z) =
2xz + y2
i + 2xy j +
x2 + 15z2
k
C: x = t2, y = t + 1, z = 3t − 1, 0 ≤ t ≤ 1
(a) Find a function f such that F = ∇f.
f(x, y, z) =
Correct: Your answer is correct.
(b) Use part (a) to evaluate
C
∇f · dr
along the given curve C.
Sagot :
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