Evaluate \( \int_{0}^{\frac{\pi}{2}} \sin x\,dx \)

If the 2nd term of a G.P is \( \frac{8}{9} \) and the 6th term is \( 4\frac{1}{2} \). Find the common ratio.

In the diagram above, l1 is parallel to l2, Find the value of < PMT

Integrate \( \frac{2x^3+2x}{x} \) with respect to x

From the diagram above, Find the value of < ROP

Find the derivative of \(y = \left(\frac{1}{3}x + 6\right)\)

If the mean of 4, y, 8 and 10 is 7. Find y?

The sum of the interior angles of a polygon is a given as 1080o. Find the number of the sides of the polygon.

In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects?