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Simplify (^{n + 1}C_{3} – ^{n – 1}C_{3}) (b) A fair die is thrown…

(a) Simplify (^{n + 1}C_{3} – ^{n – 1}C_{3}) (b) A fair die is thrown five times. Calculate,…
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Use the trapezium rule with five ordinates to evaluate (int_{0} ^{1} frac{3}{1 + x^{2}}…

(a) Use the trapezium rule with five ordinates to evaluate (int_{0} ^{1} frac{3}{1 + x^{2}} mathrm {d} x),…
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Evaluate (int_{1} ^{2} frac{x}{sqrt{5 – x^{2}}} mathrm {d} x) (b)(i) Evaluate: (begin{vmatrix} 2 &…

(a) Evaluate (int_{1} ^{2} frac{x}{sqrt{5 – x^{2}}} mathrm {d} x) (b)(i) Evaluate: (begin{vmatrix} 2 & -3 & 1…
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Using the same axes, sketch the curves (y = 6 – x – x^{2})…

(a) Using the same axes, sketch the curves (y = 6 – x – x^{2}) and (y =…
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The 3rd and 6th terms of a Geometric Progression (G.P) are 2 and 54…

(a) The 3rd and 6th terms of a Geometric Progression (G.P) are 2 and 54 respectively. Find the…
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The position vector of a body, with respect to the origin, is given by (r…

The position vector of a body, with respect to the origin, is given by (r = 4ti +…
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The coordinates of the vertices of triangle ABC are A(-2, 1), B(4, -2) and C(1,…

The coordinates of the vertices of triangle ABC are A(-2, 1), B(4, -2) and C(1, 8) respectively. If…
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A student representative council consists of 8 girls and 6 boys. If an editorial board…

A student representative council consists of 8 girls and 6 boys. If an editorial board consisting of 5…
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The probabilities of Rotey obtaining the highest mark in Mathematics, Physics and Biology tests are…

The probabilities of Rotey obtaining the highest mark in Mathematics, Physics and Biology tests are 0.9, 0.75 and…
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Given that (tan 2A = frac{2 tan A}{1 – tan^{2} A}), evaluate (tan 15°), leaving…

Given that (tan 2A = frac{2 tan A}{1 – tan^{2} A}), evaluate (tan 15°), leaving your answer in…
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