Use the green's theorem to calculate the work done by the field
[ f (x, y) = -3y^5 i + 5y^2x^3 j ] to move a particle along the circumference
[c: x^2 + y^2 = 9] starting from the point (2; 0) and arriving at the point (-2,0).

What is the value of y? round to the nearest tenth

The figures below are made out of circles, semicircles, quarter circles, and a square. find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.