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)

>>

17 | P a g e

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