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If (a = begin{pmatrix} 3 \ 2 end{pmatrix}) and (b = begin{pmatrix} -3 \ 5 end{pmatrix}), find a…

A lift moving upwards with a uniform acceleration of 5(ms^{-2}) carries a body of mass p kg. If…

The mean and median of integers x, y, z and t are 5 and z respectively. If x…

A and B are two independent events such that (P(A) = frac{2}{5}) and (P(A cap B) = frac{1}{15}).…

The parallelogram PQRS has vertices P(-2, 3), Q(1, 4), R(2, 6) and S(-1,5). Find the coordinates of the…

Find, in surd form, the value of (cos 165). A. (frac{1}{4}(sqrt{6} + sqrt{2})) B. (frac{1}{4}(sqrt{6} – sqrt{2})) C.…

Find the coordinates of the centre of the circle (4x^{2} + 4y^{2} – 5x + 3y – 2…

A force of 32 N is applied to an object of mass m kg which is at rest…

Given that (begin{pmatrix} 1 & -3 \ 1 & 4 end{pmatrix} begin{pmatrix} -6 \ P end{pmatrix} = begin{pmatrix}…

Find the least value of the function (f(x) = 3x^{2} + 18x + 32). A. 5 B. 4…