Evaluate $\int{(\sin x-5{{x}^{2}})dx}$

The required region is

A. $x\le -1,\text{ }x\ge 4$ B. $x\le 4$ C.$-1\le x\le 4$

D. $x\le -1,0\le x\le 4$ 

Find $\frac{dy}{dx}$ if $y=3{{x}^{3}}+2{{x}^{2}}+3x+1$

If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km?

Simplify $1-\left( \frac{1}{7}\times 3\frac{1}{2} \right)\div \frac{3}{4}$ 

The n^th term of the sequence 3, 9, 27, 81 …… is

If $y=2{{x}^{3}}+6{{x}^{2}}+6x+1$ find $\frac{dy}{dx}$

Evaluate $\frac{12.02\times 20.06}{26.04\times 60.06}$ correct to three significant figures

The mean of 2– t, 4+t, 3 –2t, 2+t and t –1

An arc of the length 16π cm subtends an angle of 80^o at the centre of the circle. Find the radius of the circle