Determine the value of $\int\limits_{0}^{\tfrac{\pi }{2}}{(-2\cos x)dx}$

Integrate $\frac{{{x}^{2}}-\sqrt{x}}{x}$ with respect x

Find the value of x for which the function $f(x)=2{{x}^{3}}-{{x}^{2}}-4x+4$has a maximum value

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

If $y=x\cos x$find $\frac{dy}{dx}$

A man 40m from the foot of tower observes the angle of elevation of the tower to be 30^o. Determine the height of the tower

Find the value of $\frac{\tan {{60}^{o}}-\tan {{30}^{o}}}{\tan {{60}^{o}}+\tan {{30}^{o}}}$

If the lines $3y=4x-1$and $qy=x+3$are parallel to each other, the value of q is

What is the value of K, if the mid – point of the line joining $(1-k,-4)$and $(2,k+1)$is $(-k,k)$