MATLAB An Introduction with Applications - Solutions Manual.pdf

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Chapter 1

Solved Problems

Problem 1

Script file:

clear, clc

disp('Part

(a)')

(22+5.1^2)/(50-6.3^2)

disp('Part

(b)')

44/7+8^2/5-99/3.9^2

Command Window:

Part (a)

ans =

4.6566

Part (b)

ans =

12.5768

Problem 2

Script file:

clear, clc

disp('Part

(a)')

sqrt(41^2-5.2^2)/(exp(5)-100.53)

disp('Part

(b)')

%alternative: nthroot(132,3)+log(500)/8

132^(1/3)+log(500)/8

Command Window:

Part (a)

ans =

0.8493

Part (b)

ans =

5.8685

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Problem 3

Script file:

clear, clc

disp('Part

(a)')

(14.8^3-6.3^2)/(sqrt(13)+5)^2

disp('Part

(b)')

45*(288/9.3-4.6^2)-1065*exp(-1.5)

Command Window:

Part (a)

ans =

43.2392

Part (b)

ans =

203.7148

Problem 4

Script file:

clear, clc

disp('Part

(a)')

(24.5+64/3.5^2+8.3*12.5^3)/(sqrt(76.4)-28/15)

disp('Part

(b)')

(5.9^2-2.4^2)/3+(log10(12890)/exp(0.3))^2

Command Window:

Part (a)

ans =

2.3626e+03

Part (b)

ans =

18.9551

Problem 5

Script file:

clear, clc

disp('Part

(a)')

%alternative: sin(15*pi/180) instead of sind(15)

cos(7*pi/9)+tan(7*pi/15)*sind(15)

disp('Part

(b)')

%alternatives: could use nthroot(0.18,3), could convert to radians

%and use regular trig functions

sind(80)^2-(cosd(14)*sind(80))^2/(0.18)^(1/3)

Command Window:

Part (a)

ans =

1.6965

Part (b)

ans =

-0.6473

Problem 6

Script file:

clear, clc

x=6.7;

disp('Part

(a)')

0.01*x^5-1.4*x^3+80*x+16.7

disp('Part

(b)')

sqrt(x^3+exp(x)-51/x)

Command Window:

ans =

266.6443

Part (b)

ans =

33.2499

Problem 7

Script file:

clear, clc

t=3.2;

disp('Part

(a)')

56*t-9.81*t^2/2

disp('Part

(b)')

14*exp(-0.1*t)*sin(2*pi*t)

Command Window:

Part (a)

ans =

128.9728

Part (b)

ans =

9.6685

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Problem 8

Script file:

clear, clc

x=5.1; y=4.2;

disp('Part

(a)')

3/4*x*y-7*x/y^2+sqrt(x*y)

disp('Part

(b)')

(x*y)^2-(x+y)/(x-y)^2 +sqrt((x+y)/(2*x-y))

Command Window:

Part (a)

ans =

18.6694

Part (b)

ans =

448.5799

Problem 9

Script file:

clear, clc

a=12; b=5.6; c=3*a/b^2; d=(a-b)^c/c;

disp('Part

(a)')

a/b+(d-c)/(d+c)-(d-b)^2

disp('Part

(b)')

exp((d-c)/(a-2*b))+log(abs(c-d+b/a))

Command Window:

Part (a)

ans =

-0.1459

Part (b)

ans =

2.2925e+03

Problem 10

Script file:

clear, clc

r=24;

disp('Part

(a)')

%need to solve (a)(a/2)(a/4)=4/3 pi r^3

%could also use ^(1/3)

a=nthroot(8*4/3*pi*r^3,3)

disp('Part

(b)')

%need to solve 2(a^2/2+a^2/4+a^2/8)=4 pi r^2

a=sqrt(8/7*4*pi*r^2)

disp('

disp('Problem

11')

a=11; b=9;

%could be one long expression

s=sqrt(b^2+16*a^2);

Labc = s/2 + b^2/(8*a)*log((4*a+s)/b)

Command Window:

Part (a)

a =

77.3756

Part (b)

a =

90.9520

Problem 11

Script file:

clear, clc

a=11; b=9;

%could be one long expression

s=sqrt(b^2+16*a^2);

Labc = s/2 + b^2/(8*a)*log((4*a+s)/b)

Command Window:

Labc =

24.5637

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