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3) 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

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3) 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)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]

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