If $y={{(2x+1)}^{3}},\text{ find }\frac{dy}{dx}$

If the area of $\vartriangle PQR$above is $12\sqrt{3}$cm², find the value of q?

If $\cot \theta =\tfrac{8}{15},\text{ where }\theta \text{ is acute, find }\sin \theta $

Find the equation of a line parallel to y = –4x +2 passing through (2, 3)

Find the gradient of the line passing through P(1,1) and Q(2,5)

Find the distance between the points $(\tfrac{1}{2},\tfrac{1}{2})$and $\text{(}-\tfrac{1}{2},-\tfrac{1}{2})$

What is the locus of the point that is equidistant from P(1,3) and Q (3,5)

A cylindrical pipe 50m long with radius 7 m has one end open. What is the total surface area of the pipe?

An arc subtends an angle of 50^o at the centre of circle of radius 6cm. Calculate the area of sector formed

If the two smaller size of a right angled triangle are 4cm and 5cm, find its area.