1.State the derivative of $\sin(x)$ and $\cos(x)$ with respect to $x$.
2.Evaluate the definite integral $\int_1^3 x^2 dx$.
3.What is the formula for the roots of quadratic equation $ax^2 + bx + c = 0$?
4.State the small angle approximation for $\sin \theta$ and $\cos \theta$ when $\theta \ll 1$ in radians.
5.Find $\frac{dy}{dx}$ if $y = x^3 \sin(x)$.
6.Evaluate $\int_0^{\pi/2} \cos(2x) dx$.
7.Find the maximum value of $y = 5 \sin x + 12 \cos x$.
8.Differentiate $y = e^{3x^2 + 2}$ with respect to $x$.
