Let C be the closed, piecewise smooth curve formed by traveling in straight lines between the points (0, 0, 0), (2, 0, 10), (3, 2, 15), (1, 2, 5), and back to the origin, in that order. (Thus the surface S lying interior to C is contained in the plane z. Use Stokes' theorem to evaluate the following integral. Jetz cos(x) dx + (x?y2) dy + (vz) dz

Three students, javier, sam, and corrine, participated in a fundraiser where people donated a certain amount of money per lap that the student ran. each student also had some initial donations that were collected before the run. the equations that represent each student's total donation, y, based on the number of laps ran, x, is shown below. match each equation with the correct rate of change for that student.