1.Differentiate $y = \sin(3x^2 + 5x)$ with respect to $x$.
2.Evaluate $\int_0^\pi \sin^2(x) dx$.
3.Find the maximum and minimum values of $f(x) = x^3 - 3x + 2$.
4.If $v(t) = 4t^2 - 2t$, find displacement $s(t)$ from $t=0$ to $t=3\text{ s}$ assuming $s(0)=0$.
5.Use binomial approximation to calculate $(1.002)^{10}$ correct to 4 decimal places.
6.Find the angle $\theta$ in radians if $\sin \theta = \frac{1}{2}$ in the second quadrant.
