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Academics – Mathematics : 2011/MAR/08

Question

Q8. (a) Fig Q8(a) shows the graphs of the functions y = x² +1 and y - 7 -x.

Calculate the area enclosed by the two functions. (8)

(b) Given (d² y)/(dx² ) = 2-3 sinx+5 cosx and when x = 0, dy/dx = 4 and y = 5.

Express y as a function of x. (8)

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