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Business Effect on Social Life

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Summer 2013

MATLAB Assignment 5

Question-5:

Script file:

delete g4c9p313x05.txt; diary g4c9p313x05.txt close; clc; close all; echo on %Gilat 313/05 fric=0.45; m=20; h=8; g=9.81; x=1:45;
F=(fric*cosd(15)+sind(15))*m*g*sqrt(x.^2+h^2)./(x+fric*h);
plot(x,F) grid on xlabel('x, Distance (in meters)') ylabel('F, force (in newtons)') title('Distance and Pulling force of a block') pF=230; f=@ (x) (fric*cosd(15)+sind(15))*m*g*sqrt(x.^2+h^2)./(x+fric*h)-pF; xd=fzero(f,2) echo off; diary off

Command window:
%Gilat 313/05 fric=0.45; m=20; h=8; g=9.81; x=1:45; F=(fric*cosd(15)+sind(15))*m*g*sqrt(x.^2+h^2)./(x+fric*h); plot(x,F) grid on xlabel('x, Distance (in meters)') ylabel('F, force (in newtons)') title('Distance and Pulling force of a block') pF=230; f=@ (x) (fric*cosd(15)+sind(15))*m*g*sqrt(x.^2+h^2)./(x+fric*h)-pF; xd=fzero(f,2) xd = 1.1842

echo off; diary off

Question-11:
Script file:

delete g4c9p315x11.txt; diary g4c9p315x11.txt close; clc; close all; echo on %Gilat 315/11 fric=0.45; m=20; h=8; g=9.81; f=@ (x) (fric*cosd(15)+sind(15))*m*g*sqrt(x.^2+h^2)./(x+fric*h); fplot(f,[1,45]) xlabel('x, Distance (in meters)') ylabel('F, force (in newtons)') title('Distance and Pulling force of a block') grid on
[xmin fmin]=fminbnd(f,8,26) echo off; diary off

Command window:

%Gilat 315/11 fric=0.45; m=20; h=8; g=9.81; f=@ (x) (fric*cosd(15)+sind(15))*m*g*sqrt(x.^2+h^2)./(x+fric*h); fplot(f,[1,45]) xlabel('x, Distance (in meters)') ylabel('F, force (in newtons)') title('Distance and Pulling force of a block') grid on
[xmin fmin]=fminbnd(f,8,26) xmin = 17.7778 fmin = 124.0778

echo off; diary off

Question-19:
Script file: delete g4c9p316x19.txt; diary g4c9p316x19.txt close; clc; close all; echo on %Gilat 316/19 a=80; h=18; f=@ (x) sqrt(1+4*h^2*x.^2./a^4); length_bridge=2*quadl(f,0,a) echo off; diary off

Command window:

%Gilat 316/19 a=80; h=18; f=@ (x) sqrt(1+4*h^2*x.^2./a^4); length_bridge=2*quadl(f,0,a) length_bridge = 165.2468

echo off; diary off

Question-31:
Script file: delete g4c9p319x31.txt; diary g4c9p319x31.txt close; clc; close all; echo on %Gilat 319/31 f=@(t,y) 60*exp(-0.9*t)*sin(4*t)-0.5*sqrt(y);
[t y]=ode45(f,[0:0.05:4],0); plot(t,y) xlabel('x-axis, t') ylabel('y-axis, y') title('Differential equation of y with respect to t') grid on echo off; diary off

Command window:

%Gilat 319/31 f=@(t,y) 60*exp(-0.9*t)*sin(4*t)-0.5*sqrt(y);
[t y]=ode45(f,[0:0.05:4],0); plot(t,y) xlabel('x-axis, t') ylabel('y-axis, y') title('Differential equation of y with respect to t') grid on

echo off; diary off

Question-5: Script file: delete g4cap342x05.txt; diary g4cap342x05.txt close; clc; close all; echo on %Gilat 342/05 x=-3:0.25:3; y=-2:0.25:2; z=0.7*abs(X)+0.7*abs(Y); surf(X,Y,z) xlabel('x-axis') ylabel('y-axis') zlabel('z-axis') title('3-D surface plot') echo off; diary off

Command window:
%Gilat 342/05 x=-3:0.25:3; y=-2:0.25:2; z=0.7*abs(X)+0.7*abs(Y); surf(X,Y,z) xlabel('x-axis') ylabel('y-axis') zlabel('z-axis') title('3-D surface plot')

echo off; diary off

Question-1: Script file: elete g4cbp384x01.txt; diary g4cbp384x01.txt close; clc; close all; echo on syms x
S1=x^2*(x-9)+27*(x-1)
S2=(x+3)^2-12*x disp('Part a') a=simple(S1*S2) disp('Part b') b=simple(S1/S2) disp('Part c') c=simple(S1+S2) disp('Part d') d=subs(c,5) echo off; diary off

Command window:

syms x
S1=x^2*(x-9)+27*(x-1)
S1 =
27*x + x^2*(x - 9) - 27
S2=(x+3)^2-12*x
S2 = (x + 3)^2 - 12*x disp('Part a')
Part a a=simple(S1*S2) a =
(x - 3)^5 disp('Part b')
Part b b=simple(S1/S2) b = x - 3 disp('Part c')
Part c c=simple(S1+S2) c =
(x - 2)*(x - 3)^2 disp('Part d')
Part d d=subs(c,5) d = 12

echo off; diary off
Question-8:

Script file: delete g4cbp385x08.txt; diary g4cbp385x08.txt close; clc; close all; echo on syms V r h
Vs=pi*(r^2*h+2*r^3/3)
Vh=subs(Vs,h,10) ra=double(solve(Vh-1050,r)) echo off; diary off

Command window: syms V r h
Vs=pi*(r^2*h+2*r^3/3)

Vs = pi*((2*r^3)/3 + h*r^2) Vh=subs(Vs,h,10)
Vh = pi*((2*r^3)/3 + 10*r^2) ra=double(solve(Vh-1050,r))

ra = 5.0059 -10.0030 - 0.2986i -10.0030 + 0.2986i echo off; diary off

Question-13a: Script file:
% Question 10.a

delete g4cap343x13.txt; diary g4cap343x13.txt close; clc; close all; echo on % Question 10.a Vm=24;
C=15e-6;
L=240e-3; f=linspace(60,110,40); r=linspace(10,40,20);
[F,R]=meshgrid(f,r);
wd=2*pi*F;
I=Vm./sqrt(R.^2+(wd*L-1./(wd*C)).^2);
mesh(F,R,I) colormap([0 0 0]) xlabel('Frequency (Hz)') ylabel('Resistance (\Omega)') zlabel('Current (A)')

close; clc; close all; echo on

Command window:

% Question 10.a
Vm=24;
C=15e-6;
L=240e-3;

f=linspace(60,110,40); r=linspace(10,40,20); [F,R]=meshgrid(f,r); wd=2*pi*F; I=Vm./sqrt(R.^2+(wd*L-1./(wd*C)).^2); mesh(F,R,I) colormap([0 0 0]) xlabel('Frequency (Hz)') ylabel('Resistance (\Omega)') zlabel('Current (A)')

Question-13b: Script file:
%Question 10 b

delete g4cap343x13.txt; diary g4cap343x13.txt close; clc; close all; echo on

%Question 10 b Vm=24; L=240e-3; C=15e-6; f=linspace(60,110,40); r=linspace(10,40,20);
[F,R]=meshgrid(f,r);
wd=2*pi*F;
I=Vm./sqrt(R.^2+(wd*L-1./(wd*C)).^2);
mesh(F,R,I) view(0,0) colormap([0 0 0]) xlabel('Frequency (Hz)') ylabel('Resistance (\Omega)') zlabel('Current (A)') echo off; diary off

Command window: g4cap343x13b Vm=24; L=240e-3; C=15e-6; f=linspace(60,110,40); r=linspace(10,40,20);
[F,R]=meshgrid(f,r);
I=Vm./sqrt(R.^2+(wd*L-1./(wd*C)).^2); mesh(F,R,I) view(0,0) colormap([0 0 0]) xlabel('Frequency (Hz)') ylabel('Resistance (\Omega)') zlabel('Current (A)')

echo off; diary off

Question-18: Script file: delete g4cbp388x18.txt; diary g4cbp388x18.txt close; clc; close all; echo on

syms x a=sin(x)^3 aa=int(a) aaa=-int(a,-pi,0) b=aaa*pi*a*b*c echo off; diary off

Command window: syms x a=sin(x)^3 a = sin(x)^3 aa=int(a) aa =
(cos(x)*(cos(x)^2 - 3))/3 aaa=-int(a,-pi,0) b =
4 a b c pi / 3 echo off; diary off
Question-20:

Script file: delete g4cbp389x20.txt; diary g4cbp389x20.txt close; clc; close all; echo on syms k x y y=-k*x^2+30*k*x;
Awhite=int(40-y,x,0,30);
Awhite=1200-4500*k
Arerd=4500*k;
kk= solve(Awhite-Ared, k)

echo off; diary off

Command window:

syms k x y y=-k*x^2+30*k*x;

Awhite=int(40-y,x,0,30);
Awhite=1200-4500*k
Arerd=4500*k;

kk= solve(Awhite-Ared, k) kk = 2/15

echo off; diary off

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