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Forces (F_{1} = (10 N, 090°), F_{2} = (20 N, 210°)) and (F_{3} = (4…

Forces (F_{1} = (10 N, 090°), F_{2} = (20 N, 210°)) and (F_{3} = (4 N, 330°)) act…
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Four boys participated in a competition in which their respective chances of winning prizes are…

Four boys participated in a competition in which their respective chances of winning prizes are (frac{1}{5}, frac{1}{4}, frac{1}{3})…
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Five digit numbers are formed from digits 4, 5, 6, 7 and 8. (a)How many…

Five digit numbers are formed from digits 4, 5, 6, 7 and 8. (a)How many such numbers can…
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The normal to the curve (y = 2x^{2} + x – 3) at the point…

The normal to the curve (y = 2x^{2} + x – 3) at the point (2, 7) meets…
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Write down the first four terms of the binomial expansion of ((2 – frac{1}{2})^{5})…

(a) Write down the first four terms of the binomial expansion of ((2 – frac{1}{2})^{5}) in ascending powers…
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Solve (x^{frac{2}{3}} – 5x^{frac{1}{3}} + 6 = 0).

Solve (x^{frac{2}{3}} – 5x^{frac{1}{3}} + 6 = 0). Explanation Let (x^{frac{1}{3}} = b) so that the equation is …
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The second term of a geometric progression is 3. If its sum to infinity is…

The second term of a geometric progression is 3. If its sum to infinity is (frac{25}{2}), find the…
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A ball P moving with velocity (2u ms^{-1}), collides with a similar ball Q,…

(a) A ball P moving with velocity (2u ms^{-1}), collides with a similar ball Q, of different mass,…
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A body of mass 5 kg is placed on a smooth plane inclined at…

(a) A body of mass 5 kg is placed on a smooth plane inclined at an angle 30°…
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Two pupils are chosen at random from a group of 4 boys and 5…

(a) Two pupils are chosen at random from a group of 4 boys and 5 girls. Find the…
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