Given that (x = 3i – j, y = 2i + kj) and the…
(a) Given that (x = 3i – j, y = 2i + kj) and the cosine of the…
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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…
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 +…
If (f(x) = frac{x – 3}{2x – 1} , x neq frac{1}{2}) and (g(x) = frac{x…
(a) If (f(x) = frac{x – 3}{2x – 1} , x neq frac{1}{2}) and (g(x) = frac{x – 1}{x +…
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)…
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…
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} +…
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} +…
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 +…
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 :…