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Bottles of the same sizes produced in a factory are packed in boxes. Each box…

Bottles of the same sizes produced in a factory are packed in boxes. Each box contains 10 bottles.…
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If (x + 1) and (x – 2) are factors of the polynomial (g(x) =…

If (x + 1) and (x – 2) are factors of the polynomial (g(x) = x^{4} + ax^{3}…
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Given that (log_{10} p = a, log_{10} q = b) and (log_{10} s =…

(a) Given that (log_{10} p = a, log_{10} q = b) and (log_{10} s = c), express (log_{10}…
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Evaluate : (int_{1}^{3} (frac{x – 1}{(x + 1)^{2}}) mathrm {d} x).

Evaluate : (int_{1}^{3} (frac{x – 1}{(x + 1)^{2}}) mathrm {d} x). Explanation (int_{1}^{3} (frac{x – 1}{(x + 1)^{2}})…
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If (f(x) = frac{4 – 5x}{2}), and (g(x) = x + 6, x in…

(a) If (f(x) = frac{4 – 5x}{2}), and (g(x) = x + 6, x in R), find (f…
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A uniform beam, XY, 4m long and weighing 350N rests on two pivots P and…

A uniform beam, XY, 4m long and weighing 350N rests on two pivots P and Q. It is…
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The position vectors of points A, B and C with respect to the origin are…

The position vectors of points A, B and C with respect to the origin are (8i – 2j),…
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The probabilities that Ali, Baba and Katty will gain admission to college are (frac{2}{3}, frac{3}{4})…

The probabilities that Ali, Baba and Katty will gain admission to college are (frac{2}{3}, frac{3}{4}) and (frac{4}{5}) respectively.…
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Ten coins were tossed together a number of times. The distribution of the number of…

Ten coins were tossed together a number of times. The distribution of the number of heads obtained is…
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(i) Write down the binomial expansion of ((2 – frac{1}{2}x)^{5}) in ascending powers of x….

(a)(i) Write down the binomial expansion of ((2 – frac{1}{2}x)^{5}) in ascending powers of x. (ii) Using the…
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