The table shows the distribution of marks obtained by some candidates in a test. Marks 10-14 15-24 25-29 30-39 40-44 45-49 No of candidates 14 30 22 18 12 4...

The magnitude of a force \(xi + 15j\) is 17N. Find the : (a) possible values of x ; (b) directions of the forces, correct to the nearest degree.

Differentiate, with respect to x, \(x^{3} + 2x\) from the first principle.

A car travelling at a velocity of 50kmh\(^{-1}\), covers a distance of 20km. If it was accelerating at 6kmh\(^{-1}\), calculate, correct to one decimal place...

(a) The sum of the first n terms of a sequence is given by \(S_{n} = \frac{5n^{2}}{2} + \frac{5n}{2}\). Write down the first four terms of the sequence and a...

A function F is defined on the set R, of real numbers by \(f : x \to px^{2} + qx + 2\), where p and q are constants. If \(f(-2) = 0\) and \(f(1) = 3\), find ...

If \(\sin A = \frac{3}{5}\) and \(\cos B = \frac{15}{17}\), where A is an obtuse angle and B is acute, find the value of \(\cos (A + B)\).

In a hotel, the breakfast is a choice between yam (Y) or plantain (P) or both. The Venn diagram shows the choices made by 25 guests of the hotel. (a) Find th...

A straight line passes through the point P(-1, 3). Another line which passes through Q(-4, 4) intersects the first line at the point R(k, 5), where k is a co...