Homework Statement
a) Evaluate the work done by the force field F(x, y) = (3y^(2) + x)i + 4x^(3)j over the curve
r(t) = e^(t)i + e^(3t)j, tε[0, ln(2)].
b) Using Green’s theorem, find the area enclosed by the curve r(t) and the segment that
joins the points (1, 1) and (2, 8).
c) Find the...