Mathematics Past Questions and Answers

Differentiate \((\cos \theta+\sin \theta)^{2}\) with respect to \(\theta\)

If the sum of the roots of the equation \(2 x^{2}-5 p x+8=0\) is five times the product of the roots, find the value of \(p\).

Find the area of the region enclosed by the curve \(y=2-x^{2}\) and the line \(y=-x\)

If \(x-1\) is a factor of \(3 x^{2}-p x^{2}+5 x-3 p\), find the value of \(p\)

Find \(n\) if \(31410-2567=340 n\)