Title | Jagan Kirchhoff\'s circuit laws are two equalities that deal with the current and potential difference (commonly known as voltage) in the lumped element model of electrical circuits. They were first de |
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Course | Calculus for Engineers |
Institution | Vellore Institute of Technology |
Pages | 7 |
File Size | 362.4 KB |
File Type | |
Total Downloads | 84 |
Total Views | 127 |
FhjioolKirchhoff's circuit laws are two equalities that deal with the current and potential difference (commonly known as voltage) in the lumped element model of electrical circuits. They were first described in 1845 by German physicist Gustav Kirchhoff.[1] This generalized the work of Georg Ohm and...
Matlab digital assignment 1 Parshwanath.V.Jain Question 1: Code: %To show tangent to curve syms x; y=-sin(x/2); z=diff(y,x); dr=inline(z); m=dr(0); disp(m) c=0;%Since it's at origin line = m*x + c; fplot(y,[-5,5]); hold on; fplot(line,[-3,3]); hold off;
OUTPUT: >>> Daq1 -0.5000
MATLAB:
21BEC0661
Question 2: Code: %To verify LMVT clear clc syms x f(x)=x+exp(3*x); I=[0,1]; % Input the function andinterval a=I(1);b=I(2); Df=diff(f,x); m=(f(b)-f(a))/(b-a); %Slope of Secant Line c=solve(Df==m, x);c=c(a> Daq2 Values of c lying in the interval are 0.6168 MATLAB :
Question 3: Code: %To verify Rolle's Theorum clear clc syms x; y= ((x+2)^2)*((x-3)^4); dr=diff(y,x); f1=inline(dr); f=inline(y); z=solve(dr,x); secant=0;%Value of start and end point of function is 0 rp=-1/3; for i=-2:3 if f1(i)==z rp=i; end end
tangent=f(rp); fplot(y,[-2,3]); hold on fplot(tangent,[-2,3]); fplot(secant,[-2,3]); xlabel('x'); ylabel('y'); title('Demonstration of Rolles theorem'); hold off MATLAB:...