Q1(a): Find the first 4 terms in the Maclaurins series for xe** Q1(b): Find the tangent and normal to the given curve at the points (-1, 2) x-xy + y = 7 Q2(a): State and prove the mean value theorem Q2(b): Differentiate the following expression w.r.t. x. y(x) = (x+2) (x-1)(x-3)1/2 Q3(a): Find the first 4 terms of the Taylor series for Inx centered at a = 1. Q3(b): Sketch the graph of the function r = 2a cos20