QTE054

CAT 1

Total 20 Marks

1.a). Define a derivative of f(x) with respect to x.1Mk

b). Find a derivative of the following function using the definition of the derivative;

f(x) = 3x² + 10x-43Mks

2.Consider the equation; y=x²+8x+6

a). Differentiate and find the stationary points. (Use property where C is a constant to find the stationary points). 4Mks

b). Determine whether the points are Minima or Maxima.2Mks

c). Obtain the points at which it cuts the x axis.2Mks

3.Solve the following;

a). 2Mks

b). 1Mk

4. Mr. Peter invested a part of his investment in 10% bond A and a part in 15%bond B. His interest income during the first year is Rs 4,000. If he invests 20% more in10% bond A and 10 % more in 15% bond B, his income during the second year increasesby Rs 500. Find his initial investment and the new investment in bonds A and B using matrix method.5Mks