PQRST is a regular pentagon and PQVU is a rectangle with U and V lying on TS and SR respectively as shown in the diagram. Calculate TUP

If \(9\left(x - \frac{1}{2}\right)^3x^2\)

Solve without using tables \( \log_{5}(62.5) - \log_{5}\left(\frac{1}{2}\right) \)

simplify \( \frac{1}{\sqrt{3}-2} - \frac{1}{\sqrt{3}+2} \)

change 7110 to base 8

Integrate 1−xx3 with respect to x

Evaluate \( \frac{3524}{0.05} \) correct to 3 significant figures

Solve for y in the equation 101 x 5(2x - 2) x 4(y - 1) = 1

If 2log3 y + log3 x2 = 4, then y is