Given that p = (8N,030º) and q = (9N, 150º), find, in component from, the unit vector along(p - q).

Evaluate: \( \lim_{x \to -2} \frac{x^3 + 8}{x + 2} \).

Two functions f and g are defined on the set of real numbers, R, by \(f:x\to x^2+2\) and \(g:x\to \frac{1}{x+2}\).Find the domain of \((g\circ f)^{-1}\)

Solve 3cos2x - sinx = 0 for 0º≤x≤360º

Solve \(2^{(2y+1)} - 5(2^y) + 2 = 0\)

The probability that Abiola will be late to the office on a given day is 2/5. In a given working week of six days, find, correct to four significant figures,...

The table shows the scores obtained by a group of artistes in Vocal (X) and the instrument (Y) musical competition. Vocal (X) 63 69 72 59 82 91 95 68 Instrum...

A body of mass of 18kg is suspended by an inextensible string from a rigid support and is pulled by a horizontal force F until the angle of inclination of th...

A binary operation * is defined on the set \(T = \{-2,-1,1,2\}\) by \(p*q = p^2 + 2pq - q^2\), where \(p,q \in T\). Copy and complete the table. * -2 -1 1 2 ...