Consider the summation of the square of a continuous function $()$:

$=\text{'}|()|!$

$"$

#$$\%$

where $$ is a vector of length $$ defined as a set of evenly$-$spaced values from $$ to $,$ i$.$e$.,$ in

MATLAB we define: x$=$linspace$($a$,$b$,$k$)$ and k$=1,2,3,...,$ etc.

a$)$ Develop a numerical solver $($i$.$e$.,$ function$)$ to execute the above algorithm and determine the

maximum number of terms in the summation before it exceeds a user$-$specified value ymax.

The solver should have the following input$/$output structure.