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5 Written questions

5 Matching questions

  1. Extreme Value Theorem
  2. 1
  3. ln(sinx)+C = -ln(cscx)+C
  4. Intermediate Value Theorem
  5. Derivative of ln(u)
  1. a
  2. b If f is continuous on [a,b] and k is a number between f(a) and f(b), then there exists at least one number c such that f(c)=k
  3. c 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.
  4. d
  5. e

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. Sine function
    D: (-∞,+∞)
    R: [-1,1]

          

  2. f'(g(x))g'(x)

          

  3. Alternative Definition of a Derivative
    f '(x) is the limit of the following difference quotient as x approaches c

          

  4. Formula for Disk Method
    Axis of rotation is a boundary of the region.

          

  5. ln(a)*aⁿ+C