EXAMPLE 5 Evaluate ∫∫S F · dS, when F(x, y, z) = 4yi + 4xj + 4zk and S is the boundary of the solid region E enclosed by the paraboloid z = 36 - x2 - y2 and the plane z = 0. SOLUTION S consists of a parabolic top surface S1 and a circular bottom surface S2. Since S is a closed surface, we use the convention of positive (outward) orientation. This means that S1 is oriented upward and we can use Equation 10 with D being the projection of S1 on the xy-plane, namely, the disk x2 + y2 ≤ 1. So we have P(x, y, z) = 4y Q(x, y, z) = 4x R(x, y, z) = z = 36 - 4x2 - 4y2

at home andrea has 1 2/3 kilograms of rice

step-by-step explanation:

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step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"