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P4.3.6 Let Qn be the equal spacing composite trapezoidal rule: @n=h(Hr? ) + f(zz) + . . . +f(zn-1) + 1/(zn)) h=b-1 hDa 73 where
P4.3.6 Let Qn be the equal spacing composite trapezoidal rule: @n=h(Hr? ) + f(zz) + . . . +f(zn-1) + 1/(zn)) h=b-1 hDa 73 where x = linspace(a,b,n) and we assume that n such that 2. Assume that there is a constant C (independent of n), (a) Give an expression for I -Q2n in terms of IQ2n Qml. (b) Write an efficient script that computes+1 where k is the smallest positive integer so that 11-Q2k +1 ? is smaller than a given positive tolerance tol. You may assume that such a k exists. You may assume that the integrand function is available in f.m and that it accepts vector arguments
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