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44896 posts
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If sin p = (frac{1}{2}) and cos q = (frac{1}{3}), evaluate sin(p – q), where…

(a) If sin p = (frac{1}{2}) and cos q = (frac{1}{3}), evaluate sin(p – q), where 0(^o) (geq) p…
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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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Find the angle between (over {OP}) = ((^{-3}_{-4})) and (over{OQ}) = ((^8_{-15}))

Find the angle between (over {OP}) = ((^{-3}_{-4})) and (over{OQ}) = ((^8_{-15})) Explanation |(over{OP})| = (sqrt{(-3)^2 + (-4)^2})…
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.  (frac{T}{sin 90^o}) = (frac{120}{sin 135^o}) and found T = 169.71N (b) (frac{R}{sin 135^o}) =…

(a).  (frac{T}{sin 90^o}) = (frac{120}{sin 135^o}) and found T = 169.71N (b) (frac{R}{sin 135^o}) = (frac{120}{sin 135^o}) R…
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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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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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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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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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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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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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