This question requires you to demonstrate your knowledge of the Particle Swarm Optimisation $($PSO$)$ and Bisection search methods. Find the minimum value for the following functionf$($x$)=0\mathrm{.}1$x$3+$ x$24$x in the range $3$ x $3$ using the following methods:$($a$)$ using elementary calculus;$($b$)$ using the Particle Swarm Optimisation method;$($c$)$ using a Bisection search method.