Math Questions???????????please someone help!!!!!!!!!!!

Posted on 2014-11-22 07:23:00 in Math by DARREN

Q 1. Let F = (z2, x, y)  and let C be path c(t) = (6 + 7t2, 3 ? t2, t) for 0 ? t ? 2. Calculate F(c(t)) and ds = c'(t) dt.

Calculate the dot product F(c(t))  ds and evaluate the line integral.

F(c(t)) . ds =

Q 2. Compute the integral of the vector field over c(t) = (cos t, sin t, t) for 0 ? t ? ?.

F = (xy, 4, z3)

Q 3.  Consider the vector field below. Determine whether the line integral around the circle (oriented

counterclockwise) is positive, negative, or zero.

Q 4.

for the oriented curve specified.

F = (7, y) quarter circle X2  + y2 = 1 with x ? 0, y ? 0, oriented counterclockwise.

Q 5.

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