(a) Evaluate: \(\int \limits_1^2 (2x^3 - 4x + 3) dx\)   (b) Given that P\(^{-1}\) = \(\begin{pmatrix} -1 & 1 \\ 4 & -3 \end{pmatrix}\), find the matrix ...

(a) Find the equation of the line passing through the points (2, 5) and (-4, -7). (b) Three ships P, Q and R are at sea. The bearing of Q from P is 030° and ...

(a) In the diagram (i) The value of x; (ii) (b) If \(2N4_{seven} = 15N_{nine}\), find the value of N.

A used car was purchased at N900,000.00. Its value depreciated by 30% in the first year. In each subsequent year, the depreciation was 22% of its value at th...

(a) If the mean of m, n, s, p and q is 12, calculate the mean of (m + 4), (n - 3), (s + 6), (p - 2) and (q + 8). (b) In a community of 500 people, the 75th p...

(a) The graph of \(y = 2px^{2} - p^{2}x - 14\) passes through the point (3, 10). Find the values of p. (b) Two lines, \(3y - 2x = 21\) and \(4y + 5x = 5\) in...

In a road worthiness test on 240 cars, 60% passed. The number that failed had faults in Clutch, Brakes and Steering as follows: Clutch only - 28, Clutch and ...

(a) Lamin bought a book for N300.00 and sold it to Bola at a profit of x%. Bola then sold the same book at a profit of x%. If James paid \(N(6x + \frac{3}{4}...

(a) The diagonals of a rhombus are 10.2 cm and 9.3 cm long. Calculate, correct to one decimal place, the perimeter of the rhombus. (b) Given that \(\sin x = ...