Solve, correct to three significant figures, (0.3)\(^x\) =  (0,5)\(^8\)

Given that P and Q are non-empty subsets of the universal set, U. Find P \(\cap\) (Q U Q`).

Find the coefficient of the term in the binomial expansion of [2x + \(\frac{3y}{4}\)]\(^3\) in descending powers of x.

Find the coordinates of the centre of the circle 3x\(^2\) + 3y\(^2\) - 6x + 9y - 5 = 0

Evaluate \(\int^0_0 \sqrt{x} dx\)