Mathematics for Business Modelling Sample Questions
Bookmark this page

1. Find the inverse of the following matrices using the reduced row echelon technique:

            2          3          -1                                                         0          0          1

A =      1          1          1                                             B =      0          1          0

            0          2          -1                                                         1          0          0

20 Marks

2. Find the inverse of both

                        1          -4                                 1          -2

            A =                                          B =

                        2          -1                                 3          -2

to determine A^-1 - B^-1

20 Marks

3. Find the limit of:

a)         lim ( (2x + 5 )/ x + 6))

5 Marks

                                                            2x² – 3x           if x ¹ 1

b)         lim f(x) when f(x) =      

                                                            5                      if x = 1

15 Marks

4. Determine whether the function is continuous at 1:

                                                3x – 1              if x < 1

            a)         f(x) =                   4                  if x = 1

                                                  2x                  if x > 1

10 Marks

                                                3x – 1              if x < 1

            b)         f(x) =                   2                  if x = 1

                                                  2x                  if x > 1

10 Marks

5.         a)         Find the point(s), if any, on the graph of the function y = 4x² at which the tangent line is parallel to the line 2x – y – 6 = 0.

10 Marks

            b)         Two lines through the point (0,2) are tangent to the graph of the function y = 2x² – 4x + 1. Find the equations of these two lines.

10 Marks

Other Notes in this Category

1. Mathematics for Business Modelling Sample Questions

Didn't find this useful?

• Visit Coursework.Info for over 14,000 GCSE, A-Level and University Essays