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The angle subtended by an arc of a circle at the centre is (frac{pi}{3} radians). If the radius…

The function (f : F to R)  = (f(x) = begin{cases} 3x + 2 : x > 4…

An object is thrown vertically upwards from the top of a cliff with a velocity of (25ms^{-1}). Find…

Evaluate (int_{0}^{2} (8x – 4x^{2}) mathrm {d} x). A. (-16) B. (frac{-16}{3}) C. (frac{16}{3}) D. (16) Correct Answer:…

Given that (frac{mathrm d y}{mathrm d x} = sqrt{x}), find y. A. (2x^{frac{3}{2}} + c) B. (frac{2}{3}x^{frac{3}{2}} +…

Given that (P = begin{pmatrix} y – 2 & y – 1 \ y – 4 & y…

Differentiate (x^{2} + xy – 5 = 0). A. (frac{-(2x + y)}{x}) B. (frac{(2x – y)}{x}) C. (frac{-x}{2x…

The fourth term of an exponential sequence is 192 and its ninth term is 6. Find the common…

Find the range of values of x for which (x^{2} + 4x + 5) is less than (3x^{2}…

If (alpha) and (beta) are the roots of the equation (2x^{2} – 6x + 5 = 0), evaluate…