Mathematics Past Questions and Answers

From a point P, the bearings of two points Q and R are N67⁰W and N23⁰E respectively. If the bearing of R from Q is N68⁰E and PQ = 150m, calculate PR

Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)

Find the area bounded by the curve y = x(2-x). The x-axis, x = 0 and x = 2.

Evaluate: \(\int^{z}_{0}(sin x - cos x) dx \hspace{1mm}
Where\hspace{1mm}letter\hspace{1mm}z = \frac{\pi}{4}. (\pi = pi)\)

Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.