Find the standard form of the equation of the parabola using the information given.Focus: (1, -4); Directrix: x = 5
A. (x - 3)2 = -8(y + 4)
B. (y - 3)2 = -8(x + 4)
C. (x + 4)2 = -8(y - 3)
D. (y + 4)2 = -8(x - 3)
Answer: D
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Solve the problem.Let D be the smaller cap cut from a solid ball of radius 8 units by a plane 5 units from the center of the sphere. Set up the triple integral for the volume of D in cylindrical coordinates.
A. 
B. 
C. 
D. 
Provide an appropriate response. Evaluate and express to the nearest ten-thousandth: log 6
A. 403.4288 B. 037782 C. 1.2918 D. 1,000,000
Completely factor the polynomial or state that the polynomial is prime.x3 - 125
A. (x - 5)(x2 + 5x + 25) B. (x - 5)(x2 + 25) C. (x + 125)(x2 - 1) D. (x + 5)(x2 - 5x + 25)
Use U = universal set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 5, 8}, B = {2, 3, 5, 7}, and C = {1, 4, 9} to find the set.
A. {4, 6, 9} B. {1, 4, 6, 8, 9} C. {0, 4, 6, 9} D. {1, 2, 3, 5, 7, 8}