Let C be the closed, piecewise smooth curve formed by traveling in straight lines between the points (0, 0, 0), (2, 0, 8), (3, 2, 12), (1, 2, 4), and back to the origin, in that order. (Thus the surface S lying interior to C is contained in the plane z = 4x.) Use Stokes' theorem to evaluate the integral ∫C(zcos(x))dx+(x2yz)dy+(yz)dz

Me i'm timed ! a. -2 to 1 b. -1.5 to 0.5c. 0 to 1d. 0.5 to 1.5

The function c(n) below relates the number of bushels of apples picked at a pick-your-own orchard to the final cost for the apples. it takes as input the number of bushels of apples picked after paying an entry fee to an orchard and returns as output and returns as output the cost of the apples (in dollars)c(n) = 15n + 30which equation below represents the inverse function n(c), which takes the cost of the apples as input and returns the number of bushels picked as output

Decide whether the rates are equivalent. 96 miles on 4 gallons, 380 miles on 15 gallons