Find the equation of the tangent line to the curve when x has the given value.f(x) = 
; x = 8
A. y = 96x - 512
B. y = 512x + 96
C. y = 32x - 512
D. y = 32x + 512
Answer: A
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Solve the problem.A continuous random variable X has PDF f(x) = 
x2(5 - x), 
Find the variance of the random variable X.
A. 
B. 
C. 2
D. 1
Solve the problem.A cylinder with height 12 m and radius 4 m is filled with water and must be emptied through an outlet pipe 2 m above the top of the cylinder. Compute the work required to empty the water in the top half of the tank. Then compute the work required to empty the (equal amount of) water in the lower half of the tank. Round to two decimal places when appropriate.
A. 14,778,051.8 J; 32,511,714 J B. 35,467,324.4 J; 17,733,662.2 J C. 47,289,765.8 J; 32,511,714 J D. 17,733,662.2 J; 17,733,662.2 J
Perform the indicated operation.43 + (-70)
A. 27 B. -27 C. 113 D. -113
Solve the problem.The fixed cost for producing an item is $430. 10 items cost $1610 to produce. Express the total cost C(x) in terms of x, the number of items produced.
A. C(x) = 236x + 430 B. C(x) = 118x + 430 C. C(x) = 236x + 1610 D. C(x) = 118x + 1610