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Resolve \(\frac{3}{x^2 + x - 2}\) into partial fractions
A man invested a sum of N280.00 partly at 5% and partly at 4%. if the total interest is N12.80 per annum, find the amount invested at 5%
Solve the equation: \(y - 11\sqrt{y} + 24 = 0\)
Factorize \(9p^2 - q^2 + 6qr - 9r^2\)
If U = (1, 2, 3, 6, 7, 8, 9, 10) is the universal set. E = (10, 4, 6, 8, 10) and F = {x: 1x\(^2\) = 2\(^6\), x is odd}. Find (E ∩ F)', where ' means the complement of a set.
Simplify 5\(\sqrt{18}\) - 3\(\sqrt{72}\) + 4\(\sqrt{50}\)
Simplify \(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}\)
Evaluate \(\log_{b} a^{n}\) if \(b = a^{\frac{1}{n}}\).
The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle?
Find the volume of the figure
In the figure, PQRS is a square of sides 8cm. What is the area of \(\bigtriangleup\)UVW?