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QUESTION

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
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