Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 4yi + 7xj + z3k; C: the counterclockwise path around the perimeter of the triangle in the x-y plane formed from the x-axis, y-axis , and the line y = 4 - 5x

A.
B.
C.
D. - 


Answer: B

Mathematics

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Estimate the value of the quantity.A swimming pool has a leak. The leak is getting worse. The following table gives the leakage rate every 6 hours.Give the upper estimate for the number of gallons lost.

A. 145.2 gallons B. 254.4 gallons C. 32.4 gallons D. 194.4 gallons

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Find the value of d2y/dx2 at the point defined by the given value of t.x = 3 sin t, y = 3 cos t, t = 

A. -2
B. 2
C. - 
D.

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Find the perimeter of the figure.Parallelogram

A. 104 m B. 81 m C. 75 m D. 52 m

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Name the quadrant, if any, in which the point is located.(-10, 15)

A. None B. I C. II D. III

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