Find the equation of the parabola described.Focus at (0, 18); directrix the line y = -18

A. x2 = -72y
B. x2 = 72y
C. y2 = 72x
D. y2 = 18x


Answer: B

Mathematics

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Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y, z) = xy - ln(z), P0(1, -2, 2)

A. (-4i - 2j + k)
B. (-4i + 2j - k)
C. (-4i + 2j - k)
D. (-4i + 2j - k)

Mathematics

Round the number to the place value indicated.21,629,336

A. 21,629,000 B. 21,000,000 C. 22,000,000 D. 21,700,000

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Solve the problem.The Lucas sequence LN is given by 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, . . . .Note that From this, we might conjecture that the value of LN =

A.

?N+1 +  


B.

?N +  


C.

?N +  


D.

?N -  


E. none of these

Mathematics

Find the volume of the solid. 

A. 80 cu ft B. 15 cu ft C. 240 cu ft D. 10 cu ft

Mathematics