Given that (p = (4i – 3j)) and (q = (-i + 5j)), find…
(a) Given that (p = (4i – 3j)) and (q = (-i + 5j)), find r such that…
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…
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…
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…
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…
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…
(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…
The polynomial (f(x) = x^{3} + px^{2} – 10x + q) is exactly divisible…
(a) The polynomial (f(x) = x^{3} + px^{2} – 10x + q) is exactly divisible by (x^{2} +…
Write down the matrix A of the linear transformation (A(x, y) to (2x -y,…
(a) Write down the matrix A of the linear transformation (A(x, y) to (2x -y, -5x + 3y)).…
The marks scored by 35 students in a test are given in the table below….
The marks scored by 35 students in a test are given in the table below. Marks 1-5 6-10…