Use stokes' theorem to evaluate scurl f · ds. f(x, y, z) = exy cos(z)i + x2zj + xyk, s is the hemisphere x = 36 − y2 − z2, oriented in the direction of the positive x-axis.

y=mx+b is the final answer!   : )

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation:

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step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15