Express (frac{5 + sqrt{2}}{3 – sqrt{2}} – frac{5 – sqrt{2}}{3 + sqrt{2}}) in the…
(a) Express (frac{5 + sqrt{2}}{3 – sqrt{2}} – frac{5 – sqrt{2}}{3 + sqrt{2}}) in the form (a +…
Differentiate ((x – 3)(x^{2} + 5)) with respect to x. (b) If ((x +…
(a) Differentiate ((x – 3)(x^{2} + 5)) with respect to x. (b) If ((x + 1)^{2}) is a…
Find the direction of the resultant of the forces in the diagram.
Find the direction of the resultant of the forces in the diagram. Explanation (R_{1} = begin{pmatrix} -20 cos…
The table shows the distribution of the lengths of 20 iron rods measured in metres…
The table shows the distribution of the lengths of 20 iron rods measured in metres : Length (m)…
A committee of 3 is formed from a panel of 5 men and 3 women….
A committee of 3 is formed from a panel of 5 men and 3 women. Find the :…
The position vectors of P, Q and R are (11i + j, 5i + frac{13}{3}j)…
The position vectors of P, Q and R are (11i + j, 5i + frac{13}{3}j) and (2i +…
Find the gradient of (xy^{2} + x^{2} y = 4xy) at the point (1, 3).
Find the gradient of (xy^{2} + x^{2} y = 4xy) at the point (1, 3). Explanation (xy^{2} +…
If (alpha) and (beta) are the roots of (3x^{2} + 5x + 1 = 0),…
If (alpha) and (beta) are the roots of (3x^{2} + 5x + 1 = 0), evaluate (27(alpha^{3} +…
A binary operation (ast) is defined on the set of rational numbers by (m ast…
A binary operation (ast) is defined on the set of rational numbers by (m ast n = frac{m^{2}…
Solve ((log_{2} m)^{2} – log_{2} m^{3} = 10).
Solve ((log_{2} m)^{2} – log_{2} m^{3} = 10). Explanation ((log_{2} m)^{2} – log_{2} m^{3} = 10) Let (log_{2}…