Solve for x in \(\frac{4x - 6}{3} \leq \frac{3 + 2x}{2}\)

Solve the inequality: -7 \(\leq\) 9 - 8x < 16 - x

The nth term of a sequence is given by 2\(^{2n - 1}\). Find the sum of the first four terms.

Integrate \(\int_{-1} ^{2} (2x^2 + x) \mathrm {d} x\)

If P varies inversely as the square root of q, where p = 3 and q = 16, find the value of q when p = 4.