Question 4.2 (20 marks; 10 marks each) (a) Let F = [e->, e-Y, е-22], C: r = [2t, t2, t), calculate the integral ScF(r) · dr based on (x, y, z) starting from (0, 0, 0) to (4, 4, 2). (b) Let F = [x²y, -y3], C: r= [t, t"], (i) calculate these integrals ScF(r) · dr based on (x, y) from (0, 0) to (1, 1) in terms of n; (ii) work out the values of the above line integrals by setting n = 1, 2 and + (iii) based on result from (ii), state whether this line integral shows path independence property or not. ("yes" or "no")