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MATLAB by rudra pratap

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24<br />

Tutorial Lessons<br />

Answers to Exercises<br />

Commands to solve each problem are given here.<br />

1. x= [0 1. 5 3 4 5 7 9 10] ;<br />

y=0 . 5*x-2<br />

[Ans. y = -2.0000 -1.2500 -0.5000 0 0.5000 1.5000 2.5000 3.0000]<br />

2. t=1 : 10;<br />

x=t .*sin(t)<br />

y= (t-1) ./(t+i)<br />

z=sin(t .-2) ./(t.-2)<br />

3. theta= [O; pi/4;pi/2 ;3*pi/4;pi;5*pi/4]<br />

r=2 ;<br />

x=r*cos (theta) ;<br />

y=r*sin (theta) ;<br />

X. -2+y . -2<br />

4. n=O : 10;<br />

r=0.5;<br />

x=r. - n;<br />

s1=sum (x)<br />

n=0:50;<br />

x=r . -n;<br />

s2=sum(x)<br />

n=0 :100 ;<br />

x=r . - n;<br />

s3=sum(x)<br />

[Ans. s1 = 1.9990, s2 = 2.0000, and s3 = 2]<br />

5. v=0:0.2:12;<br />

M= [sin (v) ; cos(v)] ;<br />

size(v)<br />

size(M)<br />

M(:,1:10) '<br />

[Ans. vis 1 x 61 and M is 2 x 61. The M(: , 1: 10) ' command picks out the<br />

first 10 elements from each row of M and transposes them to give a 10 x 2<br />

matrix.]

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