Find the domain of the function.f(x) = log10 (x2 - 8x + 12)
A. (-2, 6)
B. (6, ?)
C. (-?, -2)
D. (-?, 2) ? (6, ?)
Answer: D
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Determine the indefinite integral.
A. - 
sech-1 
+ C
B. sinh-1 
+ C
C. cosh-1 
+ C
D. - 
csch-1 
+ C
Find the domain and range of the function.f(x) = -3 - x2
A. D: (-?, ?), R: (-?, ?) B. D: (-?, -3], R: (-?, ?) C. D: (-?, ?), R: [-3, ?) D. D: (-?, ?), R: (-?, -3]
Solve the problem.Hooke's law is applicable to idealized (linear) springs that are not stretched or compressed too far. Consider a nonlinear spring whose restoring force is given by F(x) = 17x - 0.2x3, for |x| ? 8. How much work is done in compressing the spring from its equilibrium position (x = 0) to x = -0.5? Round to two decimal places when appropriate.
A. 4.24 J B. 339.2 J C. 678.4 J D. 2.12 J
Solve the problem.After retirement, Kelly's company offers her two options for receiving her retirement pension. According the the first plan, she will receive monthly payments from a variable annuity that initially pays 
per month then decreases each month at a rate of 
per month per year. Optionally, she may choose a plan that pays her a fixed amount of 
per month for the rest of her life. The monthly payments for the two plans are illustrated in the graph
below. After how many years does the variable plan pay less per month than the fixed plan?
A. 9 years
B. 8 years
C. Up to 8 years
D. The variable plan always pays less.