Find the foci and asymptotes of the hyperbola.
- 
= 1
A. (0, -16), (0, 16); y = 
x, y = - 
x
B. (-20, 0), (20, 0); y = 
x, y = - 
x
C. (0, -16), (0, 16); y = 
x, y = - 
x
D. (-20, 0), (20, 0); y = 
x, y = - 
x
Answer: D
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Solve the problem.A rectangular swimming pool is being constructed, 18 feet long and 100 feet wide. The depth of the pool is measured at 3-foot intervals across the length of the pool. Estimate the volume of water in the pool using Simpson's Rule.
A. 12,300 ft3 B. 7000 ft3 C. 9300 ft3 D. 10,500 ft3
Solve the problem.Find the centroid of a hemispherical shell having outer radius 9 and inner radius 2 if the density varies as the square of the distance from the base.
A. 
= 0, 
= 0, 
= 
B. 
= 0, 
= 0, 
= 
C. 
= 0, 
= 0, 
= 
D. 
= 0, 
= 0, 
= 
Find the values of x such that the vectors (2x,x,9) and (6,x,3) are orthogal.
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Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime.15x2y2 + 26xy2 + 8y2
A. (5x + 4y)(3x + 2y) B. y2(3x + 4)(5x + 2) C. (3x + 4y)(5x + 2y) D. y2(x + 4)(15x + 2)