Consider F and C below.
F(x, y, z) =
2xz + y2
i + 2xy j +
x2 + 15z2
k
C: x = t2, y = t +2, z = 4t ? 1, 0 ? t? 1
(a) Find a function f such that F =?f.
f(x, y, z) =
(b) Use part (a) to evaluate
?f · dr along the given curve C.
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