Лабораторная работа по "Экономико-математическому анализу"

Отчет по л.р №1 студентов: Смышляева Д.И, Пьянкова А.В, гр. ТТ-8-17, вариант 18

№

Задание

Результаты

1

[pic 1]

[pic 2]

 [pic 3]

a=4.17 b=3.69 x=1.2

y=2*(sin(a*x^3+3)+b*x^2)^(1/2)/exp(-x)+3.2

y =17.4566

a=4.17 b=3.69 x=3.5

y=2*(sin(a*x^3+3)+b*x^2)^(1/2)/exp(-x)+3.2

y =446.4596

a=4.17 b=3.69 x=1.2

y=a*cos(x)+b*exp(sin(x))/log(x)+a*x^4

y = 61.5585

a=4.17 b=3.69 x=3.5

y=a*cos(x)+b*exp(sin(x))/log(x)+a*x^4

y =623.9296

2

[pic 4]

[pic 5]

a=4.92 b=5.18 x=5.13

>> if x>=1 y=(a+x)^(3/2)

else y=exp(b*x-2)

end

y =31.8602

a=4.92 b=5.18 x=-1.32

>> if x>=1 y=(a+x)^(3/2)

else y=exp(b*x-2)

end

y = 1.4517e-04

3

[pic 6]

[pic 7]

a=4.8 b=0.64 x=3.68

>> if 2<=x<=5 y=x+cos(a*x)

else

if x>5 y=log(abs(x+(a*x)^1/2))

else

if x<2 y=atan(b/(x^2+1))

else

end

end

end

y =4.0558

a=4.8 b=0.64 x=6.7

 >> if 2<=x<=5 y=x+cos(a*x)

else

if x>5 y=log(abs(x+(a*x)^1/2))

else

if x<2 y=atan(b/(x^2+1))

else

end

end

end

y =7.4357

a=4.8 b=0.64 x=-4.51

>> if 2<=x<=5 y=x+cos(a*x)

else

if x>5 y=log(abs(x+(a*x)^1/2))

else

if x<2 y=atan(b/(x^2+1))

else

end

end

end

y = -5.4517

4

[pic 8]

[pic 9]

3:0.6:9

ans =

  Columns 1 through 6

    3.0000 3.6000 4.2000 4.8000 5.4000 6.0000     Columns 7 through 11

    6.6000 7.2000 7.8000 8.4000 9.0000

n=11

a=2.7

h=0.6

x=3

>> for i=1:n

d(i)=sin(a*x+exp(x))/(a*x^2+3)^(1/2);

x=x+h;

end

>> i=1:11;

>> d(i)

ans =

  Columns 1 through 8

    0.0170 0.1170 0.0690 0.0718 -0.0397 -0.0974 -0.0797 0.0829

  Columns 9 through 11

   -0.0754 0.0485 -0.0056

>> x=[3 3.6 4.2 4.8 5.4 6 6.6 7.2 7.8 8.4 9];

>> x=x'

x=

3.0000

3.6000

4.2000

4.8000

5.4000

6.0000

6.6000

7.2000

7.8000

8.4000

9.0000

>> y=@(x)sin(a*x+exp(x))./(a*x.^2+3).^(1./2); >> u=[x,y(x)]

u =

3.0000   0.0170

3.6000   0.1170

4.2000   0.0690

4.8000   0.0718

5.4000  -0.0397

6.0000  -0.0974

6.6000  -0.0797

7.2000   0.0829

7.8000  -0.0754

8.4000   0.0485

9.0000  -0.0056