b) Find the exact area by integration. {4 marks} c) Find the percentage error in the estimation made in (a) above. {2 marks} 23(a) Complete the table below for the function y = x3 4x. For -3 < x < 3 – x -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 y -15 -5.625 1.875 -3 0 15 {2 marks} b) Draw the graph of y = x3 4x on the grid provided. {3 marks} – c) Use your graph to solve i) x3 4x = 0 {1 mark} – ii) x3 4x 3 = 0 {2 – – marks}
b) Find the exact area by integration. {4 marks} c) Find the percentage error in the estimation made in (a) above. {2 marks} 23(a) Complete the table below for the function y = x3 – 4x. For -3 < x < 3 x -3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3 y -15 -5.625 1.875 -3 0 15 {2 marks} b) Draw the graph of y = x3 – 4x on the grid provided. {3 marks} c) Use your graph to solve i) x3 – 4x = 0 {1 mark} ii) x3 – 4x – 3 = 0 {2 marks}