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

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

18.8cm hope i at all

step-by-step explanation:

2 1/2 feet

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.