2) Find the derivative, dy x of the following function sin +x'=2-y* dx3) Show that dy 3+8x cos(1-x) 16x 7(5+ 2x) + tan(1-x) by dx (1+ 2x?)* (5x+ x2)?' 3+8x 1+ 2x2 5x+ x- 3+8x considering the following function = cos(1-x) (1+2x-)4 (5x+x2)? (5 marks)7) The total area of a poster is 125 inz. The poster will have 4 inch margin on the top, 2 inch margin on the left, 1 inch margin on the right, and 0.5 inch margin on the bottom. Find the dimensions of the poster that will give the largest printed area. Explain why the printed area obtained is the largest. (10 marks) 8) Use the Newton-Raphson method to determine all the roots of si:l1I(Jc)=.'1c2 +2 accurate to six decimal places. [Note: Excel can be used to do the computation. You may show the Excel outputs as the answer] (10 marks) [Total : 60 marks]