Sketch the graph and show all relative extrema and inflection points.y = 2x3 - 3x2 - 12x
A. 
No extrema
Inflection point: (0,0)
B. 
Relative maximum: (0,0)
Relative minimum: (-2,8)
Inflection point: (-1,4)
C. 
Relative maximum: (-1,7)
Relative minimum: (2,-20)
Inflection point: 
D. 
Relative minimum: (3,-30)
No inflection point
Answer: C
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A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x), and express P(x) in the form d(x)? Q(x) + R(x).P(x) = x3 + 125d(x) = x - 4
A. (x - 4)(x2 - 4x + 16) + 189 B. (x - 4)(x2 + 4x + 16) + 189 C. (x - 4)(x2 - 4x + 16) + 61 D. (x - 4)(x2 + 4x + 16)
Add or subtract as indicated. You will need to simplify terms to identify like radicals.8
- 4
A. 8
- 4
B. 4
C. 8
D. -8
Solve the problem.In a Psychology class, the students were tested at the end of the course on a final exam. Then they were retested with an equivalent test at subsequent time intervals. Their average scores after t months are given in the table.
Using a graphing utility, fit a logarithmic function y = a + b ln x to the data. Using the function you found, estimate how long will it take for the test scores to fall below 84%. Express your answer to the nearest month.
A. 20 months B. 10 months C. 8 months D. 12 months
You manage a small antique store that owns a collection of Louis XVI jewelry boxes. Their value v is increasing according to the formula
?
?
where t is the number of years from now. You anticipate an inflation rate of 1% per year, so that the present value of an item that will be worth $v in t years' time is given by
?
?
In how many years from now will the greatest rate of increase of the present value of your antiques be attained? Round your answer to two decimal places.
?
A. t = 24.55 years
B. t = 3.07 years
C. t = 11.27 years
D. t = 12.27 years
E. t = 6.14 years