(a) Evaluate: \(\int \limits_1^2 (2x^3 - 4x + 3) dx\)   (b) Given that P\(^{-1}\) = \(\begin{pmatrix} -1 & 1 \\ 4 & -3 \end{pmatrix}\), find the matrix ...

If \(\log_{10}\)(6x - 4) - \(\log_{10}\)2 = 1, solve for x.

If F = \(\frac{9}{5}\)C + 32, find C when F = 98.6

Simplify; 2\(\frac{1}{4} \times 3\frac{1}{2} \div 4 \frac{3}{8}\)

Simplify: \(\sqrt{108} + \sqrt{125} - \sqrt{75}\)

Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.

Evaluate: \((64^{\frac{1}{2}} + 125^{\frac{1}{3}})^2\)

There are 250 boys and 150 girls in a school, if 60% of the boys and 40% of the girls play football, what percentage of the school play football?

Find the value of x for which \(32_{four} = 22_x\)