Find the product.(2k + 1)3
A. 8k3 + 1
B. 8k3 + 24k2 + 6k + 1
C. 8k3 + 12k2 + 6k + 1
D. 8k3 + 8k2 + 4k + 1
Answer: C
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Find the average value of the function f over the given region.f(x, y) = 3x + 9y over the region bounded by the coordinate axes and the lines 
and 
.
A. 49
B. 
C. 
D. 
Solve. Round your results to four decimal places.Use the Euler method with dx = 0.5 to estimate y(3) if y' = y2/
and y(2) = -1. What is the exact value of y(3)?
A. y ? -0.8013, exact value is -0.2217 B. y ? -0.8899, exact value is -0.2025 C. y ? -0.6685, exact value is -0.2362 D. y ? -0.6242, exact value is -0.2265
Solve the problem.Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 
and a standard deviation of 0.04 ounce. Find the probability that the bottle contains fewer than 
of beer.
A. 0.5062 B. 0.9938 C. 0.0062 D. 0.4938
Use implicit differentiation to find d2y/dx2.2y - x + xy = 2
A. 
B. 
C. 
D. 