CBE 162 Lab 1

# F x2 12x 27 end then using an initial guess of 0

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Unformatted text preview: Ashley Scott CBE 162 Lab 1 (a) First, we make an m ­file containing this: function [f] = root(x) %We must specify the polynomial. f = x^2 - 12*x + 27; end Then, using an initial guess of 0: To check To check for other roots, I increase the value of initial guess, and see that the roots of the polynomial are 3 and 9. This can be seen by the code to the right. Ashley Scott CBE 162 Lab 1 (b) function [dhdt ] = height( t,h ) %Initialize output matrix dhdt = zeros(size(h)); %Define constraints, F1 and F2 are no longer equal F1=3*cos(t) + 17; F2=4*sqrt(h); A=5; %area is constant dhdt(1)=F1/A - F2/A; end %Put this into the command window, with initial height value of 1m [t,h]=ode45(@height, [0 50], [1]); >> plot(t,h);xlabel('Time (min)');ylabel('Height (m)');title('Problem 3b') (c ) My m ­file: function [dC] = concentration(t,C) Ashley Scott CBE 162 Lab 1 %Initialize output matrix %C is a vector that contains Ca, Cb, Cab, and Cc %For the purposes of MATLAB, AB=AB* dC = zeros(size(C)); %Define constraints k1=.5; k2=2; k3=1; %Must state the system of ODEs, they are all interconnected %Set dC(1) for dCa dC(1)=-k1*C(1)*C(2) + k2*C(3); %Set dC(2) for dCb dC(2)=-k1*C(1)*C(2) + k2*C(3); %Set dC(3) for dCab* dC(3) =k1*C(1)*C(2) - k2*C(3) - k3*C(3); % Set dC(4) for dCc dC(4) = k3*C(3); end %Put in...
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## This document was uploaded on 03/04/2014.

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