Chapter 5 4ed - St. Bonaventure University

[Pages:38]Chapter 5

Solved Problems

Problem 1

Script File:

x=linspace(-3,5,200); y=(x+5).^2./(4+3*x.^2); plot(x,y) xlabel('x') ylabel('y')

y

7

6

5

4

3

2

1

0

-3

-2

-1

0

1

2

3

4

5

x

1

2

Problem 2

Script File:

Chapter 5: Solved Problems

fplot('5*sin(x)/(x+exp(-0.75*x))',[-5 10]) xlabel('x') ylabel('y')

y

3

2

1

0

-1

-2

-3

-4

-5

0

5

10

x

Chapter 5: Solved Problems

3

Problem 3

Script file:

x1=linspace(0,3,200); y1=(x1+1).*(x1-2).*(2*x1-0.25)-exp(x1); x2=linspace(-3,6,200); y2=(x2+1).*(x2-2).*(2*x2-0.25)-exp(x2); plot(x1,y1) xlabel('x') ylabel('y') figure plot(x2,y2) xlabel('x') ylabel('y')

y

4

2

0

-2

-4

-6

-8

-10

0

0.5

1

1.5

2

2.5

3

x

y

40

20

0

-20

-40

-60

-80

-3

-2

-1

0

1

2

3

4

5

6

x

4

Chapter 5: Solved Problems

Problem 4

Script File:

plot('sqrt(abs(cos(3*x)))+sin(4*x)^2',[-2 2]) xlabel('x') ylabel('y'))

y

2

1.8

1.6

1.4

1.2

1

0.8

0.6

0.4

0.2

0

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

x

Chapter 5: Solved Problems

5

Problem 5

Script File:

fplot('exp(2*sin(0.4*x))*5*cos(4*x)',[-20 30]) xlabel('x') ylabel('y')

y

40

30

20

10

0

-10

-20

-30

-40

-20 -15 -10

-5

0

5

10

15

20

25

30

x

6

Chapter 5: Solved Problems

Problem 6

Script File:

t=linspace(0,2*pi,100); x=1.5*sin(5*t); y=1.5*cos(3*t); plot(x,y) axis([-2 2 -2 2]) xlabel('x') ylabel('y')

y

2

1.5

1

0.5

0

-0.5

-1

-1.5

-2

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

x

Chapter 5: Solved Problems

7

Problem 7

x1=-4:0.05:-1.1; x2=-0.9:0.05:3; y1=(x1.^2+3*x1+3)./(0.8*(x1+1)); y2=(x2.^2+3*x2+3)./(0.8*(x2+1)); plot(x1,y1,x2,y2) xlabel('x') ylabel('y')

y

15

10

5

0

-5

-10

-15

-4

-3

-2

-1

0

1

2

3

x

8

Problem 8

t1=linspace(-30,-1.6,500); t2=linspace(-0.6,40,500); x1=3*t1./(1+t1.^3); y1=3*t1.^2./(1+t1.^3); x2=3*t2./(1+t2.^3); y2=3*t2.^2./(1+t2.^3); plot(x1,y1,x2,y2) xlabel('x') ylabel('y')

Chapter 5: Solved Problems

y

2

1.5

1

0.5

0

-0.5

-1

-1.5

-2

-2.5

-2.5

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

x

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