PRMIA 8007 Mathematical Foundations of Risk Measurement - 2015 Edition Exam Exam Practice Test Questions

• Question 1

  At what point x does the function f(x) = x3 - 4x2 + 1 have a local minimum?

  • -0.666666667
  • 0
  • 2.66667
  • 2

  Show Answer Answer: 3 Next

• Question 2

  Which of the following statements is not correct?

  • Every linear function is also a quadratic function.
  • A function is defined by its domain together with its action.
  • For finite and small domains, the action of a function may be specified by a list.
  • A function is a rule that assigns to every value x at least one value of y.

  Show Answer Answer: 4 Next

• Question 3

  The bisection method can be used for solving f(x)=0 for a unique solution of x, when

  • The function f(x) is continuous and monotonic
  • The function f(x) is differentiable
  • The function f(x) is differentiable and we have an explicit expression for the derivative
  • The function f(x) is continuous

  Show Answer Answer: 1 Next

• Question 4

  What is the total derivative of the function f(x,y) = ln(x+y), where ln() denotes the natural logarithmic function?

  • 1 / (x+y)
  • (x + y) / (x+y)
  • -x/(x+y) - y/(x+y)
  • ln(x+y) x + ln(x+y) y

  Show Answer Answer: 2 Next

• Question 5

  Suppose that f(x) and g(x,y) are functions. What is the partial derivative of f(g(x,y)) with respect to y?

  • f'(g(x,y))
  • f(dg/dy)
  • f(g(x,y)) dg/dy
  • f'(g(x,y)) dg/dy

  Show Answer Answer: 4 Next