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
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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.
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
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)
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