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40747 posts
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A body of mass 15 kg is suspended at a point P by two…

(a) A body of mass 15 kg is suspended at a point P by two light inextensible strings…
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A man P has 5 red, 3 blue and 2 white buses. Another man…

(a) A man P has 5 red, 3 blue and 2 white buses. Another man Q has 3…
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The table shows the distribution of hours spent at work by the employees of a…

The table shows the distribution of hours spent at work by the employees of a factory in a…
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Using the substitution (u = 5 – x^{2}), evaluate (int_{1}^{2} frac{x}{sqrt{5 – x^{2}}} mathrm…

(a) Using the substitution (u = 5 – x^{2}), evaluate (int_{1}^{2} frac{x}{sqrt{5 – x^{2}}} mathrm {d} x). (b)…
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The gradient of the tangent to the curve (y = 4x^{3}) at points P…

(a) The gradient of the tangent to the curve (y = 4x^{3}) at points P and Q is…
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An object is projected vertically upwards with a velocity of 80 m/s. Find the :…

An object is projected vertically upwards with a velocity of 80 m/s. Find the : (a) Maximum height…
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Simplify (frac{sqrt{75} – 3}{sqrt{3} + 1}), leaving your answer in the form (a +…

(a) Simplify (frac{sqrt{75} – 3}{sqrt{3} + 1}), leaving your answer in the form (a + bsqrt{c}); where a,…
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The table shows the distribution of the ages of a group of people in a…

The table shows the distribution of the ages of a group of people in a village. Ages (in…
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A body of mass 5 kg resting on a smooth horizontal plane, is acted upon…

A body of mass 5 kg resting on a smooth horizontal plane, is acted upon by force 6i…
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Find the equation of the tangent to the curve (y = frac{x – 1}{2x +…

Find the equation of the tangent to the curve (y = frac{x – 1}{2x + 1}, x neq…
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