Evaluate or simplify the given expression.cos(2 sin-1 x)
A. 2x2 + 1
B. 1 - 2x2
C. 1
D. 1 - x2
Answer: B
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Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis. Use the method of disks.y = 
, y = 0, x = 0, x = 6
A. 3? B. 12? C. 18? D. 6?
Solve.The outside of a water storage tank is in the shape of a sphere. Approximate to the nearest hundredth the volume of the tank with a radius of 15.3 feet. Use 3.14 for ?.
A. 735.04 cu ft B. 14,994.87 cu ft C. 980.06 cu ft D. 11,246.15 cu ft
Find the expected value.A fair coin is tossed three times, and a player wins $3 if 3 tails occur, wins $2 if 2 tails occur and loses $3 if no tails occur. If one tail occurs, no one wins. What is the expected value of the games?
A. $0.75 B. $2.00 C. -$3.00 D. $3.00
Factor the polynomial as the difference of two squares or state that it is irreducible.16x4 - 81
A. (4x2 + 9)(4x2 + 9) B. (2x + 3)2(2x - 3)2 C. (4x2 + 9)(4x2 - 9) D. (4x2 + 9)(2x + 3)(2x - 3)