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Problem 1 : Understanding of Discretization of Variables and Iterations Consider the summation of the square of a continuous function f ( x ) :
Problem : Understanding of Discretization of Variables and Iterations
Consider the summation of the square of a continuous function :
where is a vector of length defined as a set of evenlyspaced values from to ie in MATLAB we define: inspace and dots, etc.
a Develop a numerical solver ie function to execute the above algorithm and determine the maximum number of terms in the summation before it exceeds a userspecified value ymax. The solver should have the following inputoutput structure.
function SquaredFunctionSumfunymax
where, the output 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 with inputs ymax
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