(a) Find the equation of the normal to the curve y = (x\(^2\) - x + 1)(x - 2) at the point where the curve cuts the X - axis. (b) The coordinates of the pin...

The table shows the distribution of monthly income (in thousands of naira) of workers in a factory Monthly Income (N'1000) 135-139 140-149 150-154 155-164 16...

Given that (p + 1/2√3)(1 - √3)\(^2\) = 3- √3, find x the value of p.

Given that x = \(\begin{pmatrix} -4 \\ 3 \end{pmatrix}\) and y= \(\begin{pmatrix} -9 \\ 15 \end{pmatrix}\) calculate, correct to the nearest degree, the angl...

Evaluate: \(^9{?}_1\) \(\frac{x(2x-3)}{?x}\) dx

A bag contains 24 mangoes out of which six are bad. If 6 mangoes are selected randomly from the bag with replacement, find the probability that not more than...

The polynomial f(x) =2x\(^3\) + px+ qx - 5 has (x-1) as a factor and a remainder of 27 when divided by (x + 2), where p and q are constants. Find the values ...

(a) The speed of a moving bus reduced from 45m/s to 5m/s with a uniform retardation of 10m/s\(^2\). Calculate the distance covered. (b) A bucket full of wate...

\(^{5y}{C}_2\) = 190, find the value of y