Page 4 of 7 201MS 3. (a) For this question, refer to the table below for the assigned groups, based on the last digit of the CU student ID. Last digit of the CU student ID 0 1 2 3 4 5 6 7 8 9 Group 3 1 2 2 2 3 1 1 3 1 E.g. CU Student ID 82347156, the last digit of this student ID is "6". Hence, he/she will be using group 1 parameters for this question. Group 1: C is segment A from (1, 1) to (3, 1) of the parabola y = (x - 2)2 Group 2: C is segment B from (0 ,4) to (1, 1) of the parabola y = (x - 2)2 Group 3: c is segment C from (-1,9) to (0, 4) of the parabola y = (x - 2)2 Segment C Segment B Segment A Given / = [ v4y + 1 ds where c is the segment path of the parabola y = (x - 2)2. (i) With x = t, express y in terms of the parameter t for the parabola. (1 mark) (ii) With ds = V(at)" + () dt, express ds in terms of parameter t and its derivative. (3 marks) (ii) Use the above (i) and (ii) results to find the value of 1. (6 marks) Page 5 of 7 201MS