A man P has 5 red, 3 blue and 2 white buses. Another man…
(a) A man P has 5 red, 3 blue and 2 white buses. Another man Q has 3…
Using the substitution (u = 5 – x^{2}), evaluate (int_{1}^{2} frac{x}{sqrt{5 – x^{2}}} mathrm…
(a) Using the substitution (u = 5 – x^{2}), evaluate (int_{1}^{2} frac{x}{sqrt{5 – x^{2}}} mathrm {d} x). (b)…
The gradient of the tangent to the curve (y = 4x^{3}) at points P…
(a) The gradient of the tangent to the curve (y = 4x^{3}) at points P and Q is…
Simplify (frac{sqrt{75} – 3}{sqrt{3} + 1}), leaving your answer in the form (a +…
(a) Simplify (frac{sqrt{75} – 3}{sqrt{3} + 1}), leaving your answer in the form (a + bsqrt{c}); where a,…
An object is projected vertically upwards with a velocity of 80 m/s. Find the :…
An object is projected vertically upwards with a velocity of 80 m/s. Find the : (a) Maximum height…
A body of mass 5 kg resting on a smooth horizontal plane, is acted upon…
A body of mass 5 kg resting on a smooth horizontal plane, is acted upon by force 6i…
The table shows the distribution of the ages of a group of people in a…
The table shows the distribution of the ages of a group of people in a village. Ages (in…
There are 6 points in a plane. How many triangles can be formed with…
(a) There are 6 points in a plane. How many triangles can be formed with the points? (b)…
Find the equation of the tangent to the curve (y = frac{x – 1}{2x +…
Find the equation of the tangent to the curve (y = frac{x – 1}{2x + 1}, x neq…
If (x + 2) and (x – 1) are factors of (f(x) = 6x^{4} +…
If (x + 2) and (x – 1) are factors of (f(x) = 6x^{4} + mx^{3} – 13x^{2}…