Find the indicated relative minimum or maximum.Maximum of f(x, y, z) = xy + z,subject to x2 + y2 + z2 = 1
A. f(1, 1, 0) = 1
B. f(0, 1, 0) = 1
C. f(1, 1, 1) = 1
D. f(0, 0, 1) = 1
Answer: D
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Solve the problem.Find the volume interior to the inverted catenary kiln (an oven used to fire pottery) shown in the figure. Give an exact answer in terms of logarithms. 
A. 16(3 ln(3 + 
) + 
)
B. 16(3 ln(3 + 
) - 
)
C. 48 ln(3 + 
) - 
D. 8(3 ln(3 + 
) - 
)
Use a linear approximation to estimate the quantity to four decimal places.
A. 1.0000 B. 5.4000 C. 4.6000 D. 4.2000
7
A. 
B. 
C. 
D. 
Solve the problem.If ? is the mean and ? is the standard deviation of a normal distribution, then which of the following statements is true?
A. ? must always be positive, ? can be positive or negative. B. ? and ? must always be positive numbers. C. ? must always be bigger than ?. D. ? must always be positive, ? can be positive or negative. E. none of these