Free IFoA IFOA_CAA_M0 Exam Questions (page: 3)

Determine which of the statements is true about the root(s) of the following equation:

  1. There is only one real root which takes a positive value.
  2. There is only one real root which takes a negative value.
  3. There are two real roots, r1 and r2, where r1 is positive and:r1 = - 0.5 r2
  4. There are two real roots, r1 and r2, where r1 is positive and:r1 = - 2 r2

Answer(s): C



Solve the following equation for x:
12x +10 = 3x - 8

  1. x = -9/2
  2. x = -2
  3. x = 2
  4. x =

Answer(s): B



When differentiating the product of two factors, u and v, the Product Rule can be used.
State the Product Rule.

A)



B)



C)



D)

  1. Option A
  2. Option B
  3. Option C
  4. Option D

Answer(s): D



A function f(x) is known for two values:
f(2) = 8 and f(5) = 14.
Using linear interpolation estimate f(3).
A)



B)



C)



D)

  1. Option A
  2. Option B
  3. Option C
  4. Option D

Answer(s): B



Determine which of the options is equal to log(3) - 2log(x+1).
A)



B)



C)



D)

  1. Option A
  2. Option B
  3. Option C
  4. Option D

Answer(s): D



Consider the vector U = (3, -1, 5).
Calculate the magnitude of vector U to two decimal places.

  1. 2.65
  2. 5.92
  3. 7.00
  4. 9.00

Answer(s): B



For -3.14 x +3.14, the graph of the function, sin x, is show below.



Identify the range of this defined function.

  1. [-1,1]
  2. [0,1]
  3. (-1,1)
  4. (-1,1]

Answer(s): A



Calculate the sum of the following non-terminating progression:

2/10, 2/40, 2/160, 2/640,...

  1. 0.174
  2. 0.266
  3. 0.267
  4. 0.406

Answer(s): C






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