4. Consider the following quadrature formula /_3 1'06) also m a (Hare) + ma). (i) Derive a system of three equations for nding the weight oz and the nodes 3:0, 3:1 of this quadrature formula such that the quadrature is exact for all quadratic polynomials. (ii) Solve the system of equations derived in part (i) of this question to nd a, 3:0, and 21:1; write the resulting quadrature formula. (iii) What is the degree of exactness of the quadrature formula found in part (ii) of this question? Justify your answer. [8] Note: for the full mark to be awarded for question 4, the values of oz, 51:0, 51:1 must be found using the method specied in this question and full justication must be given in part (iii)