By how much is the mean of 30, 56, 31, 55, 43, and 44 less than  the median? 

Determine the maximum value of $y=3{{x}^{2}}-{{x}^{3}}$

If $y=3\sin (-4x),\frac{dy}{dx}\text{ is }$

Evaluate $\int_{2}^{3}{({{x}^{2}}-2x)dx}$ 

Find the slope of the curve $y=2{{x}^{2}}+5x-3$at (1,4) 

In the diagram above, PQR is a straight line and PS is a straight line and PS is a tangent to the circle QRS with $\left| PS \right|=\left| SR \right|$ and $\angle SPR={{40}^{o}}$.Find $\angle PSQ$

A triangle has vertices P( –1,6), Q(–3, –4) and R (1, –4). Find the midpoint PQ and QR respectively

XYZ is a circle centre O and radius 7cm.Find the area of the shaded portion.

If $\frac{\pi }{2}\le \theta \le 2\pi $, Find the maximum value of $f(\theta )=\frac{4}{6+2\cos \theta }$

 The locus of a point P which moves on one only of a straight line XY so that $\angle XPY={{90}^{o}}$ is