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5 Written questions

5 Matching questions

  1. Squaring function
  2. Squeeze Theorem
  3. Critical Number
  4. Formula for Disk Method
  5. Extreme Value Theorem
  1. a
  2. b If f is continuous on [a,b] then f has an absolute maximum and an absolute minimum on [a,b]. The global extrema occur at critical points in the interval or at endpoints of the interval.
  3. c If f'(c)=0 or does not exist, and c is in the domain of f, then c is a critical number. (Derivative is 0 or undefined)
  4. d
    Axis of rotation is a boundary of the region.
  5. e
    D: (-∞,+∞)
    R: (o,+∞)

5 Multiple choice questions

  1. Let f be continuous on [a,b] and differentiable on (a,b) and if f(a)=f(b) then there is at least one number c on (a,b) such that f'(c)=0 (If the slope of the secant is 0, the derivative must = 0 somewhere in the interval).

5 True/False questions

  1. Natural log function
    D: (-∞,+∞)
    R: (o,+∞)

          

  2. sin(x)+C

          

  3. Greatest integer function
    D: (-∞,+∞)
    R: (-∞,+∞)

          

  4. Constants in integrals

          

  5. Antiderivative of xⁿ