Let C be the closed, piecewise smooth curve formed by traveling in straight lines between the points (-4, 2), (-4,-3), (2, -2), (2, 7), and back to (-4, 2), in that order. Use Green's theorem to evaluate the following integral. (2xy) dx + (xy2) dy x

Determine whether the functions fi(x) = cos 3r, f2(x) = x, and f3(r) = cos² r are linearly independent on the interval (-x, 0).

Let f(x) be defined by f(x) = 3x² + 5x – 40. Let (a, b) be the point on the curve y = f(x) such that the tangent line to y = f(x) through (a, b) is parallel to the line 23x - y = 10. What is a? What is b? Choose... Choose... F