In the diagram above $\left| OR \right|$ is the diameter of the semicircle OR. Find the area of the figure of the shape to the nearest whole number

If $\tan \theta =\tfrac{5}{4}$, find ${{\sin }^{2}}\theta -{{\cos }^{2}}\theta$

In the diagram POQ is a diameter of the circle. PQRS. If $\angle PSR={{145}^{o}}$. Find x^o           

What is the locus of points equidistant from the ax + by + c = 0 

Differentiate ${{(\cos \theta -\sin \theta )}^{2}}$ with respect to θ

If $\frac{dy}{dx}=x+\cos x$ find y 

Find the value of x for which the function $3{{x}^{3}}-9{{x}^{2}}$ is minimum

Differentiate ${{\left( {{x}^{2}}-\tfrac{1}{x} \right)}^{2}}$ with respect to x

Evaluate $\int_{-4}^{0}{(1-2x)dx}$

The gradient of a curve is 2x + 7 and the curve passes through point (2,0). Find the equation of the curve