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In the diagram, a mass of 12kg hanging from a light inextensible string is pulled…

In the diagram, a mass of 12kg hanging from a light inextensible string is pulled aside by a…
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The distribution of the masses of a group of persons is shown in the following…

The distribution of the masses of a group of persons is shown in the following table Mass/kg 10.5…
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Three soldies, X, Y and Z have probabilities (frac{1}{3}, frac{1}{5}) and (frac{1}{4}) respectively of hitting…

Three soldies, X, Y and Z have probabilities (frac{1}{3}, frac{1}{5}) and (frac{1}{4}) respectively of hitting a target. If…
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If (alpha) and (beta) are the roots of the equation 3x(^2) + 4x – 5…

If (alpha) and (beta) are the roots of the equation 3x(^2) + 4x – 5 = 0, find…
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Differentiate from first principles, with respect to x, (3x(^2) + 2x – 1) 

Differentiate from first principles, with respect to x, (3x(^2) + 2x – 1)  Explanation Substitute x by (x…
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Find the equation of the circle centre (2. 3) which passes through the y -…

Find the equation of the circle centre (2. 3) which passes through the y – intercept of the…
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Given that ((_r^n)) = (^nC_r), simplify ((^{2x + 1}_{3})) – ((^{2x – 1}_3)) – 2((^x_2))

Given that ((_r^n)) = (^nC_r), simplify ((^{2x + 1}_{3})) – ((^{2x – 1}_3)) – 2((^x_2)) Explanation ((^{2x +…
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An object is thrown up a smooth plane inclined at an angle of 30°…

(a) An object is thrown up a smooth plane inclined at an angle of 30° to the horizontal.…
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Forces (F_{1} = begin{pmatrix} -5 & 4 end{pmatrix} N; F_{2} = begin{pmatrix} 2 \…

(a) Forces (F_{1} = begin{pmatrix} -5 & 4 end{pmatrix} N; F_{2} = begin{pmatrix} 2 \ 5 end{pmatrix} N;…
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The position vectors of points P, Q and R with respect to the origin are…

The position vectors of points P, Q and R with respect to the origin are ((4i – 5j),…
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