Find the flux of the vector field F across the surface S in the indicated direction.F = 4xi + 4yj + 5k; S is "nose" of the paraboloid z = 4x2 + 4y2 cut by the plane z = 4; direction is away from the z-axis
A. - 21?
B. 
C. 21?
D. 11?
Answer: D
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Solve the formula for the indicated variable. Then use the supplied values to solve the equation.The relationship between the distance p from an object to a lens, the distance q from the image to the lens, and the focal length f (the distance from the lens to the principal focus) is given by 
Solve for f. What is the focal length when p is 726 mm and q is 24.2 mm? (All values are approximate.)
A. f = p + q = 750 mm
B. f = 
+ 
= 1.00 mm
C. f = 
= 23.4 mm
D. f = pq - p - q = 16,800 mm
Solve the problem.The formula P = 0.68x2 - 0.048x + 1 models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 33.984 thousand fish?
A. 2005 B. 2003 C. 2006 D. 2004
Solve.A nail 6
inches long is driven into a board 3
inches thick. How much of the nail protrudes from the other side of the board?
A. 5
in.
B. 2
in.
C. 
in.
D. 
in.
Provide an appropriate response.Solve the system 
What will be an ideal response?