Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = xzi + yzj + k , S is the cap cut from the sphere x2 + y2 + z2 = 9 by the plane  direction is outward

A. 80?
B. 40?
C. 24?
D. - 40?


Answer: B

Mathematics

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Graph the parabola or ellipse. Include the directrix that corresponds to the focus at the origin.r = 

A.

B.

C.

D.

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Provide an appropriate response.Find the area of the circle whose diameter is 28.5 feet to the nearest hundredth.

A. 203.06 ft2 B. 637.94 ft2 C. 89.54 ft2 D. 2,551.76 ft2

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Solve the problem.Assume that the elevation E, in feet, of a sag in a proposed route is given by  where x represents the horizontal distance in feet along the proposed route and 0 ? x ? 5000. For what x-values is the elevation 900 feet or more? Round your answer to the nearest foot.

A. x > 345 (feet) B. x > 335 (feet) C. x < 345 (feet) D. x < 335 (feet)

Mathematics

Solve the problem.A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, whereas they sell 3893 gallons on a day that they charge $1.40 per gallon. Find a linear equation for gallons sold (y) at a price x.

A. y = -18,540x + 29,832.8 B. y = -18,540x + 29,865 C. y = -18,540x + 29,827.2 D. y = -18,540x + 29,849

Mathematics