Find the flux of the curl of field F through the shell S.F = -5x2yi + 5xy2j + z5k; S is the portion of the paraboloid 2 - x2 - y2 = z that lies above the 

A. 80
B. ?
C. 80?
D. 10?


Answer: D

Mathematics

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Determine the function f(x) that has been graphed. The function will be of the form f(x) a + k or f(x) = a(x - h)3 + k. Assume a = 1 or a = -1.

A. f(x) =  + 2
B. f(x) =  - 2
C. f(x) =  + 2
D. f(x) =  - 2

Mathematics

Determine whether the given geometric series is convergent or divergent, and find the sum if it is convergent. +  +  +  + ...

A. Convergent; S = 0.42 B. Divergent C. Convergent; S = 0.56 D. Convergent; S = 0.30

Mathematics

Solve the variation problem.The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a screen 5 feet from a light is 4 foot candles, find the intensity on a screen 20 ft from the light.

A. 2 foot-candles
B. 1 foot-candles
C.  foot-candles
D.  foot-candles

Mathematics

For the function f, construct and simplify the difference quotient  .f(x) = 8x2 + 5x

A. 24x - 10h + 10 B. 16x + 8h + 5 C. 16x2 + 8h + 5x D. 16x + 5

Mathematics