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?

The angle between latitudes 30oS and 13oN is

If \(x = 3 - \sqrt{3}\), find \(x^2 + \frac{36}{x^2}\)

If x = (all prime factors of 44) and y = (all prime factors of 60), the elements of X ∪ Y and X ∩ Y respectively are

What is the value of x satisfying the equation \( \frac{4^{2x}}{4^{3x}} = 2 \)?

Evaluate logban if b = an

Simplify \(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^{5})}\)

Simplify \(5\sqrt{18} - 3\sqrt{72} + 4\sqrt{50}\)

Find n if 34n = 100112