QUESTION 2.3 (25 MARKS)
Figure Q2.3.a
a.
Figure Q2.3.a shows two objects, a cone and a cube. Find the value of x so that the volume of the cone is equal to the volume of the cube. Use the modified secant method to solve the problem with a small perturbation fraction of 0.01. Your answer must be accurate to 4 significant figures. (CO1:PO1 - 20 marks)
f(x)
fx = x - 12x + 48x -
0.4
Figure 2.3.b.
b.
Figure Q2.3.b illustrates a system with multiple roots. Explain the best method to solve the roots for this system and why other methods are not suitable for this system. (CO2:PO2 - 5 marks)