cve 325 final
DESCRIPTION
Numerical methodsTRANSCRIPT
CVE 325 L- Final Examinations
Section: Thursday
Problem One:
>> AQ=[12 13 14 15 16 17 18]
1 | P a g e
AQ =
12 13 14 15 16 17 18
>> Fall2013= diag(AQ)
Fall2013 =
12 0 0 0 0 0 0
0 13 0 0 0 0 0
0 0 14 0 0 0 0
0 0 0 15 0 0 0
0 0 0 0 16 0 0
0 0 0 0 0 17 0
0 0 0 0 0 0 18
>>
Problem Two:
>> A=[36 1 4;1 64 16;4 9 81]
A =
36 1 4
2 | P a g e
1 64 16
4 9 81
>> D=det(A)
D =
180435
>> T=transpose(A)
T =
36 1 4
1 64 9
4 16 81
Problem Three:
>> A=[6 1 4;1 8 16;4 9 9]
A =
6 1 4
1 8 16
4 9 9
3 | P a g e
>> B=[36 1 4;1 64 16;4 9 81]
B =
36 1 4
1 64 16
4 9 81
>> C=[64 1 4;1 81 16;4 9 100]
C =
64 1 4
1 81 16
4 9 100
>> A(2,3)
ans =
16
>> P=A(2,3)*B(2,2)*C(3,3)
4 | P a g e
P =
102400
Problem Four:
>> x=[-2.5:0.5:3]
x =
Columns 1 through 8
-2.5000 -2.0000 -1.5000 -1.0000 -0.5000 0 0.5000 1.0000
Columns 9 through 12
1.5000 2.0000 2.5000 3.0000
>> >> plot (x,y)
5 | P a g e
Problem Five:
>> H=[5 2 1 | 3;4 1 -1 | -3;-2 3 -3 | 5]
H =
5 2 1
4 1 1
-2 3 1
6 | P a g e
>> H1=inv(H)
H1 =
0.2500 -0.1250 -0.1250
0.7500 -0.8750 0.1250
-1.7500 2.3750 0.3750
>>
Problem Six:
>> X
X =
Columns 1 through 8
2.0000 2.1000 2.3000 2.4000 3.0000 2.9000 2.7000 2.6000
Columns 9 through 13
2.5000 2.3000 2.2000 2.1000 2.0000
>> Y
Y =
7 | P a g e
Columns 1 through 8
2.1000 2.3000 2.6000 2.8000 5.1000 4.8000 4.2000 3.9000
Columns 9 through 13
3.8000 2.9000 2.6000 2.4000 2.1000
>> T=trapz(X,Y)
T =
-0.2550
8 | P a g e
>>
Problem Seven:
>> X=[0:8]
X =
0 1 2 3 4 5 6 7 8
Y=X.*exp(X.*0.8)+0.2
Y =
9 | P a g e
1.0e+03 *
Columns 1 through 8
0.0002 0.0024 0.0101 0.0333 0.0983 0.2732 0.7293 1.8932
Column 9
4.8150
>>
>> H=quadl('X.*exp(X.*0.8)+0.2',0,8)
H =
5.0812e+03
>> plot(X,Y)
Problem Eight:
>> x=[-5 -4 -2.2 -1 0 1 2.2 4 5 6 7];
>> y=[0.1 0.2 0.8 2.6 3.9 5.4 3.6 2.2 3.3 6.7 8.9]
y =
10 | P a g e
Columns 1 through 8
0.1000 0.2000 0.8000 2.6000 3.9000 5.4000 3.6000 2.2000
Columns 9 through 11
3.3000 6.7000 8.9000
>> F=polyval(x,y,10)
F =
1.0e+10 *
Columns 1 through 8
0.0000 0.0000 0.0000 -0.0000 -0.0005 -0.0123 -0.0002 -0.0000
Columns 9 through 11
-0.0001 -0.1030 -1.7083
>> f=polyfit(x,y,10)
f =
11 | P a g e
Columns 1 through 8
-0.0000 0.0002 0.0002 -0.0076 0.0090 0.1189 -0.1747 -0.6921
Columns 9 through 11
0.2655 1.9807 3.9000
>>
Problem Nine:
12 | P a g e
>> YEAR=[1940 1950 1960 1970 1980 1990 2000];
>> POPULATION=[537 557 682 826 981 1135 1262];
>> plot(POPULATION,YEAR)
>>
>>ans =
572.2
Problem Ten:
>> h=500;
h1=75;
r=150;
r1=50;
>> VC=(1/3)*(pi)*(r^.2)*(h);
13 | P a g e
VC1=(pi)*(r1.^2)*(h1);
>> VT=VC-VC1
VOLAQEEL =
-5.8762e+05
>>
Problem Eleven:
>> a=[1 -2 3 4];
>> b=[1 2 9 -16];
>> ab=conv(a,b)
ab =
1 0 8 -24 67 -12 -64
>> B=polyval(a,10)
B =
834
>>
Problem Twelve:
14 | P a g e
>> UAE=rand(8,7)
UAE =
0.9631 0.3674 0.3354 0.7150 0.5000 0.1829 0.5005
0.5468 0.9880 0.6797 0.9037 0.4799 0.2399 0.4711
0.5211 0.0377 0.1366 0.8909 0.9047 0.8865 0.0596
0.2316 0.8852 0.7212 0.3342 0.6099 0.0287 0.6820
0.4889 0.9133 0.1068 0.6987 0.6177 0.4899 0.0424
0.6241 0.7962 0.6538 0.1978 0.8594 0.1679 0.0714
0.6791 0.0987 0.4942 0.0305 0.8055 0.9787 0.5216
0.3955 0.2619 0.7791 0.7441 0.5767 0.7127 0.0967
Problem Thirteen:
aqeelprod=factorial(5)
aqeelprod =
120
>> x=2
x =
2
15 | P a g e
>> S=1-(x.^2/(1+2))+(x.^4/(1+2+3+4))-(x.^6/(1+2+3+4+5+6))+(x.^8/(1+2+3+4+5+6+7+8))
S =
5.3302
Problem Fourteen:
>> T=[0:(6*pi)]
T =
Columns 1 through 14
0 1 2 3 4 5 6 7 8 9 10 11 12 13
Columns 15 through 19
14 15 16 17 18
>> P1=(5*cos(2*T))-(2*T);
>> P2=(T)+sin(T)+1;
>> P3=(2)*(cos(3*T))-(1);
>> plot(T,P1,P2,P3)
>>
16 | P a g e
Problem Fifteen:
>> [X,Y] = meshgrid(-1:3, 1:4);
>> Z = X .* Y.^2;
>> surf(X,Y,Z)
>>
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Problem Sixteen:
%Thickness of BoxL=25;W=30;H=5;side1=L*H;side3=L*H;side2=W*H;side4=W*H;Y=0.151X=20/(bottom+side1+side2+side3+side4)*Y Y =
0.1510
X =
18 | P a g e
0.0023
19 | P a g e