cameroon gce advance level June 2021 maths with statistics paper 2

cameroon gce advance level June 2021 maths with statistics paper 2

cameroon gce advance level June 2021 maths with statistics paper 2

I (vi) Given that (x +1) is a factor of f(x),where f(x) = x3 + 6×2 +1lx + 6,factorise f(x) completely
‘ v (4 marks)
(ii) Let X be a real constant. Show that the roots of the quadratic equation
3×2 + (-4- 2A)x + 2A = 0
arc always real. (5 marks)
2. (i) Given that y = ln(4 + x2),
find
ay (2 marks)
(a) the equations of the tangent and normal to the curve y = ln(4 + x 2) at the point where x = 1.
(4 marks)
(a)
dx
(ii) Solve the differential equation —^ = xy — x, given that y = 2 when x = 0, expressingy in terms (4 marks ofx.)
3. (i) Draw the truth table for each of the propositions p => q and ~ p V q and show that they are identical.
(6 marks)
(ii) Given that sin *(*) = a and cos *(*) = /? show that sin(cr + /?) = 1. (4 marks)

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