Find the characteristic equation of the given matrix.A = 
A. (9 - ?)(9 - ?)(8 - ?)(3 - ?) = 0
B. (9 - ?)(6 - ?)(4 - ?)(3 - ?) = 0
C. (9 - ?)(7 - ?)(5 - ?) = 0
D. (9 - ?)2(7 - ?)(5 - ?) = 0
Answer: D
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Solve the problem.The velocity of a body of mass m falling from rest under the action of gravity is given by the equation 
where k is a constant that depends on the body's aerodynamic properties and the density of the air, g is the gravitational constant, and t is the number of seconds into the fall. Find the limiting velocity, limt?? v, of a 460 lb. skydiver (mg = 460) when k = 0.006.
A. 276.89 ft/sec B. There is no limiting speed. C. 0.00 ft/sec D. 87.56 ft/sec
Use the root test to determine if the series converges or diverges.
A. Converges B. Diverges
Simplify the expression. Write your answer with only positive exponents. Assume that all variables represent nonzero real numbers.
2
A. 
B. 
C. 
D. - 
Find parametric equations for the line described below.The line through the point P(-5, 2, 3) parallel to the vector 
A. x = -8t + 5, y =6t - 2, z = -3t - 3 B. x = 8t + 5, y = 6t - 2, z = -3t - 3 C. x = -8t - 5, y = 6t + 2, z = -3t + 3 D. x = 8t - 5, y = 6t + 2, z = -3t + 3