A stone is dropped vertically downwards from the top of a tower of height 45m…
A stone is dropped vertically downwards from the top of a tower of height 45m with a speed…
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Differentiate (frac{x^{2} + 1}{(x + 1)^{2}}) with respect to x. (b)(i) Evaluate (begin{vmatrix} 1…
(a) Differentiate (frac{x^{2} + 1}{(x + 1)^{2}}) with respect to x. (b)(i) Evaluate (begin{vmatrix} 1 & 2 &…
Using a scale of 2 cm to 30° on the x- axis, 2 cm…
(a) Using a scale of 2 cm to 30° on the x- axis, 2 cm to 0.2 units…
The table shows the distribution of ages of 22 students in a school. Age (years)…
The table shows the distribution of ages of 22 students in a school. Age (years) 12-14 15-17 18-20…
A side of a rectangle is three times the other. If the perimeter increases by…
A side of a rectangle is three times the other. If the perimeter increases by 2%, find the…
The line (2y = x + 3) meets the circle (x^{2} + y^{2} – 2x…
The line (2y = x + 3) meets the circle (x^{2} + y^{2} – 2x + 6y –…
Three school prefects are to be chosen from four girls and five boys. What is…
Three school prefects are to be chosen from four girls and five boys. What is the probability that…
A(-1, 2), B(3, 5) and C(4, 8) are the vertices of triangle ABC. Forces…
(a) A(-1, 2), B(3, 5) and C(4, 8) are the vertices of triangle ABC. Forces whose magnitudes are…
If the coefficient of (x^{2}) and (x^{3}) in the expansion of ((p + qx)^{7})…
(a) If the coefficient of (x^{2}) and (x^{3}) in the expansion of ((p + qx)^{7}) are equal, express…
Calculate the gradient of the curve (x^{3} + y^{3} – 2xy = 11) at (2,…
Calculate the gradient of the curve (x^{3} + y^{3} – 2xy = 11) at (2, -1). Explanation (x^{3}…