If X = \(\frac{3}{5}\) and cos y = \(\frac{24}{25}\), where X and Y are acute, find the value of cos (X + Y).
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2020
Given that P = {x : 1 \(\geq\) x\(\geq\) 6} and Q = {x : 2 < x < 10}. Where x are integers, find n(p \(\cap\) Q)
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2020
Determine the coefficient of x\(^3\) in the binomial expansion of ( 1 + \(\frac{1}{2}\)x)
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2020
If V = plog\(_x\), (M + N), express N in terms of X, P, M and V
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2020
Given that 2x + 3y - 10 and 3x = 2y - 11, calculate the value of (x - y).
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2020
Differentiate \(\frac{x}{x + 1}\) with respect to x.
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2020
If \(\frac{6x + k}{2x^2 + 7x - 15}\) = \(\frac{4}{x + 5} - \frac{2}{2x - 3}\). Find the value of k.
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2020
Simplify; \(\frac{\sqrt{5} + 3}{4 - \sqrt{10}}\)
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2020
Given that X: R \(\to\) R is defined by x = \(\frac{y + 1}{5 - y}\) , y \(\in\) R, find the domain of x.
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2020
If \(\begin{pmatrix} p+q & 1\\ 0 & p-q \end {pmatrix}\) = \(\begin{pmatrix} 2 & 1 \\ 0 & 8 \end{pmatrix}\)Findthe values of p and q
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2020
If \(\int^3_0(px^2 + 16)dx\) = 129. Find the value of p.
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2020
If cos x = -0.7133, find the values of x between 0\(^o\) and 360\(^o\)
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2020
Find the inverse of \(\begin{pmatrix} 3 & 5 \\ 1 & 2 \end{pmatrix}\)
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2020
A binary operation * is defined on the set of real number, R, by x*y = x\(^2\) - y\(^2\) + xy, where x, \(\in\) R. Evaluate (\(\sqrt{3}\))*(\(\sqrt{2}\))\({\color{red}2x} \times 3\)