Consider the summation of the square of a continuous function f(x): k = [lf(x)1 y =...

 

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Consider the summation of the square of a continuous function f(x): k = [lf(x)1 y = i=1 where x is a vector of length k defined as a set of evenly-spaced values from a to b, 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. function [y, N] = Squared FunctionSum (fun, a, b, ymax) where, the output N is the maximum number of terms in the series such that the sum does not exceed ymax. b) Test your developed numerical solver on the function f(x) = x with inputs a=1, b=3, ymax=1999. Consider the summation of the square of a continuous function f(x): k = [lf(x)1 y = i=1 where x is a vector of length k defined as a set of evenly-spaced values from a to b, 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. function [y, N] = Squared FunctionSum (fun, a, b, ymax) where, the output N is the maximum number of terms in the series such that the sum does not exceed ymax. b) Test your developed numerical solver on the function f(x) = x with inputs a=1, b=3, ymax=1999.