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(i) Write down the expansion of ((1 + x)^{7}) in ascending powers of x. (ii)…

(a)(i) Write down the expansion of ((1 + x)^{7}) in ascending powers of x. (ii) If the coefficients…
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Without using mathematical tables or calculator, evaluate (frac{frac{3}{2}log 27 – 3log 5sqrt{5}}{log 0.6}) (b)…

(a) Without using mathematical tables or calculator, evaluate (frac{frac{3}{2}log 27 – 3log 5sqrt{5}}{log 0.6}) (b) Two linear transformations…
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Given that (p = begin{pmatrix} 5 \ 3 end{pmatrix}, q = begin{pmatrix} -1 \ 2…

Given that (p = begin{pmatrix} 5 \ 3 end{pmatrix}, q = begin{pmatrix} -1 \ 2 end{pmatrix}) and (r…
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A body of mass 3kg moves with a velocity of 8ms(^{-1}). It collides with…

(a) A body of mass 3kg moves with a velocity of 8ms(^{-1}). It collides with a second body…
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The mean of the numbers 1, 4, k, (k + 4) and 11 is (k…

The mean of the numbers 1, 4, k, (k + 4) and 11 is (k + 1). Calculate…
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The probabilities that Ago, Sulley and Musa will gain admission to a certain university are…

The probabilities that Ago, Sulley and Musa will gain admission to a certain university are (frac{4}{5}, frac{3}{4}) and…
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When (f(x) = 2x^{3} + mx^{2} + nx + 11) is divided by (x^{2} +…

When (f(x) = 2x^{3} + mx^{2} + nx + 11) is divided by (x^{2} + 5x + 1),…
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If (f(x + 2) = 6x^{2} + 5x – 8), find (f(5)). (b) Express…

(a) If (f(x + 2) = 6x^{2} + 5x – 8), find (f(5)). (b) Express (frac{7sqrt{2} + 3sqrt{3}}{4sqrt{2}…
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A binary operation (*) is defined on the set, R, of real numbers by (m…

A binary operation (*) is defined on the set, R, of real numbers by (m * n =…
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Given that (5, 2), (-4, k) and (2, 1) lie on a straight line, find…

Given that (5, 2), (-4, k) and (2, 1) lie on a straight line, find the value of…
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