Find the equation in standard form of the parabola described.Focus at (4, 0); Directrix the line x = -4

A. x2 = 16y
B. y2 = 4x
C. y2 = -16x
D. y2 = 16x


Answer: D

Mathematics

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Use integration by parts to establish a reduction formula for the integral.

A.  = - xn e- x2 +  
B.  = n xn-1 e- x2 + 2n 
C.  = - xn-1 e- x2 +  
D.  = - 2xn-1 e- x2 - 2(n - 1) 

Mathematics

Use the Trapezoidal Rule with n = 4 steps to estimate the integral.

A.
B.
C.
D.

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Given that the x- and y-coordinates of a moving particle are given by the indicated parametric equations, find the magnitude and direction of the acceleration for the specific value of t.x = 2t2 + 5, y = 3t2 - 2, t = 9

A. 64.9; 236.3° B. 7.21; 236.3° C. 64.9; 56.3° D. 7.21; 56.3°

Mathematics

Solve the problem.Suppose that a family has 5 children and that the probability of having a girl is . What is the probability of having at least four girls?

A. 0.0313 B. 0.1563 C. 0.3125 D. 0.1875

Mathematics