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Express (frac{8 – 3sqrt{6}}{2sqrt{3} + 3sqrt{2}}) in the form (psqrt{3} + qsqrt{2}).

Express (frac{8 – 3sqrt{6}}{2sqrt{3} + 3sqrt{2}}) in the form (psqrt{3} + qsqrt{2}). A. (7sqrt{3} – frac{17sqrt{2}}{3}) B. (7sqrt{2}…
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If (P = {x : -2

If (P = {x : -2 < x < 5}) and (Q = {x : -5 < x…
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A car is moving at 120(kmh^{-1}). Find its speed in (ms^{-1}).

A car is moving at 120(kmh^{-1}). Find its speed in (ms^{-1}). A. 33.3(ms^{-1}) B. 66.6(ms^{-1}) C. 99.9(ms^{-1}) D.…
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Two functions f and g are defined on the set of real numbers by (f…

Two functions f and g are defined on the set of real numbers by (f : x to…
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A particle starts from rest and moves through a distance (S = 12t^{2} – 2t^{3})…

A particle starts from rest and moves through a distance (S = 12t^{2} – 2t^{3}) metres in time…
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Find the constant term in the binomial expansion ((2x^{2} + frac{1}{x})^{9})

Find the constant term in the binomial expansion ((2x^{2} + frac{1}{x})^{9}) A. 84 B. 168 C. 336 D.…
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Find the angle between forces of magnitude 7N and 4N if their resultant has a…

Find the angle between forces of magnitude 7N and 4N if their resultant has a magnitude of 9N.…
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A body of mass 28g, initially at rest is acted upon by a force, F…

A body of mass 28g, initially at rest is acted upon by a force, F Newtons. If it…
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If (overrightarrow{OX} = begin{pmatrix} -7 \ 6 end{pmatrix}) and (overrightarrow{OY} = begin{pmatrix} 16 \ -11…

If (overrightarrow{OX} = begin{pmatrix} -7 \ 6 end{pmatrix}) and (overrightarrow{OY} = begin{pmatrix} 16 \ -11 end{pmatrix}), find (overrightarrow{YX}).…
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Given that (a = i – 3j) and (b = -2i + 5j) and (c…

Given that (a = i – 3j) and (b = -2i + 5j) and (c = 3i –…
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