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What is the complete set of numbers for which f( x ) = x 3 + 2 x 2 - x is concave?
What is the complete set of numbers for which f(x) = x3 + 2x2 - x is concave?
- x ≥ -2/3
- x ≥ -3/2
- x ≥ 3/2
- x ≥ 1
- None of the above
For x = 1/2 the second derivative of f(x) = 2x−2 is
- 3/4
- 100
- 192
- 25
- None of the above
For x = 2, the slope of the function f(x) = x4 - 3x2 is
- 10
- 25
- 15
- 30
- None of the above
The inflection point for f(x) = x3 - 3x2 + x + 5 is
- x = 0
- x = 1
- x = -1
- x = 2
- None of the above
The unit cost of producing a steak dinner at the Smalltown Inn is $6. If a restaurant charges p dollars for a steak dinner, customers will demand 200 - 5p steak dinners per week. To maximize the profit earned on steak dinners, what price should the inn charge?
- $20
- $21
- $22
- $23
- $25