Matlab QuestionThe methods that we used for approximating single integrals all have counterparts for double integrals. The “Midpoint Rule” for double integrals is given in the following equation. m n[ƒ ƒ (x, y)dA ≈ŹŹƒ(x,, v; }\µ\x^yΣΣΕΣ, ΔΙΔΡRi=1 j=1(1)where x, is the midpoint of [x-1, x;] and y, is the midpoint of [y-1, Vj]For example, eq. (1) can be applied to estimate the volume of the solid (see Fig. 1) that lies abovethe square R = [0, 2] X [0, 2] (see Fig. 2) and below the elliptic paraboloid f(x,y) = 16 — x-2y².

Solution in matlab is shown as below :

Answered: The methods that we used for…

The methods that we used for approximating single integrals all have counterparts for double integrals. The “Midpoint Rule” for double integrals is given in the following equation.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter11: Nonlinear Programming

Section11.1: Review Of Differential Calculus

Problem 6P

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