Question
The Matlab code for the required partial derivatives ux and uy are given by the following two expressions, respectively (which could be produced using Matlab's
The Matlab code for the required partial derivatives ux and uy are given by the following two expressions, respectively (which could be produced using Matlab's Symbolic Toolbox, if you have it): -(18*(1-3*x)).*exp(-3*x.^2-(3*y+1).^2) ... - 6*(1-3*x).^2.*3.*x.*exp(-3*x.^2-(3*y+1).^2) ... - (10*(3/5-81*x.^2)).*exp(-3*x.^2-4*y.^2) ... + (20*((3/5)*x-27*x.^3-243*y.^5)).*3.*x.*exp(-3*x.^2-4*y.^2) ... - (1/3*(-18*x-6)).*exp(-(3*x+1).^2-9*y.^2)+2*x; 3*(1-3*x).^2.*(-18*y-6).*exp(-3*x.^2-(3*y+1).^2) ... + 12150*y.^4.*exp(-3*x.^2-4*y.^2) ... + (20*((3/5)*x-27*x.^3-243*y.^5)).*4.*y.*exp(-3*x.^2-4*y.^2) ... + 6*y.*exp(-(3*x+1).^2-9*y.^2)+2*y; (a) What is the height of the river, z, when t = 5? (b) What are the components of the position vector r(5)? Enter the x and y components (in that order) into the answer box below, separated with a comma.
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