If (alpha) and (beta) are the roots of the equation (2x^{2} – 7x + 4…
If (alpha) and (beta) are the roots of the equation (2x^{2} – 7x + 4 = 0), find…
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Given that (p = (4i – 3j)) and (q = (-i + 5j)), find…
(a) Given that (p = (4i – 3j)) and (q = (-i + 5j)), find r such that…
If (f(x) = 6x^{3} + 13x^{2} + 2x – 5) and (f(-1) = 0), find…
If (f(x) = 6x^{3} + 13x^{2} + 2x – 5) and (f(-1) = 0), find the factors of…
Find the angle between the vectors (a = begin{pmatrix} -3 \ 4 end{pmatrix}) and…
(a) Find the angle between the vectors (a = begin{pmatrix} -3 \ 4 end{pmatrix}) and (b = begin{pmatrix}…
A body P of mass 5kg is suspended by two light inextensible strings AP…
(a) A body P of mass 5kg is suspended by two light inextensible strings AP and BP attached…
The table gives the distribution of heights in metres of 100 students. Height 1.40-1.42 1.43-1.45…
The table gives the distribution of heights in metres of 100 students. Height 1.40-1.42 1.43-1.45 1.46-1.48 1.49-1.51 1.52-1.54…
Two items are selected at random from four items labelled (p, q, r, s)….
(a) Two items are selected at random from four items labelled (p, q, r, s). (i) List the…
(i) Find the sum of the series (A(1 + r) + A(1 + r)^{2} +…
(a)(i) Find the sum of the series (A(1 + r) + A(1 + r)^{2} + … + A(1…
Evaluate : (int_{1} ^{4} frac{x(3x – 2)}{2sqrt{x}} mathrm {d} x) (b) The equation of…
(a) Evaluate : (int_{1} ^{4} frac{x(3x – 2)}{2sqrt{x}} mathrm {d} x) (b) The equation of a circle is…
A fair die with six faces is thrown six times. Calculate, correct to three…
(a) A fair die with six faces is thrown six times. Calculate, correct to three decimal places, the…