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If events A and B are independent and (P(A) = frac{7}{12}) and (P(A cap B)…

If events A and B are independent and (P(A) = frac{7}{12}) and (P(A cap B) = frac{1}{4}), find…
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Express (frac{1}{1 – sin 45°}) in surd form. 

Express (frac{1}{1 – sin 45°}) in surd form.  A. (2 + sqrt{2}) B. (2 + sqrt{3}) C. (2…
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Given that (f ‘(x) = 3x^{2} – 6x + 1) and f(3) = 5, find…

Given that (f ‘(x) = 3x^{2} – 6x + 1) and f(3) = 5, find f(x). A. (f(x)…
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The coefficient of the 5th term in the binomial expansion of ((1 + kx)^{8}), in…

The coefficient of the 5th term in the binomial expansion of ((1 + kx)^{8}), in ascending powers of…
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Find the derivative of (3x^{2} + frac{1}{x^{2}})

Find the derivative of (3x^{2} + frac{1}{x^{2}}) A. (6x + 2x^{2}) B. (6x + frac{1}{2x}) C. (6x –…
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A binary operation ,*, is defined on the set R, of real numbers by (a…

A binary operation ,*, is defined on the set R, of real numbers by (a * b =…
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Find the locus of points which is equidistant from P(4, 5) and Q(-6, -1).

Find the locus of points which is equidistant from P(4, 5) and Q(-6, -1). A. 3x – 5y…
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If (P = begin{pmatrix} 1 & -2 \ 3 & 4 end{pmatrix}) and (Q =…

If (P = begin{pmatrix} 1 & -2 \ 3 & 4 end{pmatrix}) and (Q = begin{pmatrix} -2 &…
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Two statements are represented by p and q as follows: p : He is brilliant;…

Two statements are represented by p and q as follows: p : He is brilliant; q : He…
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A rectangle has a perimeter of 24m. If its area is to be maximum, find…

A rectangle has a perimeter of 24m. If its area is to be maximum, find its dimension. A.…
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