Question $5$: Given the equation $=$ Question $5$: Given the equation $y=x^2+2x-45$ :

Sketch by hand the first iteration of the Newton$-$Raphson Method of the graph.

Write pseudo$-$code for an algorithm to perform the method.

Calculate by hand $($manually$,$ no Python$)$ the first $5$ iterations using numbers, showing the

estimated roots in each iteration.

$+$ :

$1.$ Sketch by hand the first iteration of the Newton$-$Raphson Method of the graph.

$2.$ Write pseudo$-$code for an algorithm to perform the method.

$3.$ Calculate by hand $($manually$,$ no Python$)$ the first $5$ iterations using numbers, showing the

estimated roots in each iteration.