Solve the problem.A projectile is fired from a cliff 400 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 130 feet per second. The height h of the projectile above the water is given by 
where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?
A. 132.03 ft
B. 796.09 ft
C. 532.03 ft
D. 264.06 ft
Answer: D
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Solve the problem.If 
is a convergent series of nonnegative terms, what can be said about 
, where k is a positive integer?
A. Always diverges B. May converge or diverge C. Always converges
Use the geometric series f(x) = 
= 
, for 
< 1, to find the power series representation for the given function (centered at 0). f(3x) = 
A. 
B. 
C. 
D. 
Use the Binomial Theorem to expand the binomial.(x + 8)5
A. x5 + 40x4 + 1280x3 + 10,240x2 + 20,480x + 8 B. x5 + 40x4 + 640x3 + 5120x2 + 20,480x + 32,768 C. x5 + 40x4 + 1280x3 + 10,240x2 + 20,480x + 32,768 D. x5 + 40x4 + 640x3 + 5120x2 + 20,480x + 8
Use the commutative and/or associative property of addition and then simplify.2 + (n + 4) + 3
A. n + 7 B. 9 C. n + 9 D. 2n + 7