Mavzu: amaliy dasturlar yordamida muhandislik masalalarini matematik modellarini yaratish (mathematica, maple, matlab, mathcad) Ishdan maqsad

Amaliy topshiriqni bajarish bo’yicha namuna:
Quyidagi ifodani x = 0.2 va y = -3.9 bo’lganda hisoblang:

MatLab dasturining Command Window oynasida >> belgisidan keyin qiymatlarni hamda ifodalarni quyidagicha kiritib boramiz va natijani olish uchun "Enter" tugmasini bosamiz:
>> x=0.2;
>> y=-3.9;
>> c=sqrt((sin(4/3*pi*x)+exp(0.1*y))/(cos(4/3*pi*x)+exp(0.1*y)))+...
((sin(4/3*pi*x)+exp(0.1*y))/(cos(4/3*pi*x)+exp(0.1*y)))^(1/3)

AMALIYOT ISHINING TOPSHIRIG’I:
1-topshiriq:Quyidagi ifodalarni va bo’lganda hisoblang:

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2-topshiriq:


VARIANT-№1

1. 
   Matlab dasturi yordamida quyidagi tenglikning qiymatini hisoblang: y=cos³π/8+sin³3π/8+cos²7π/8
   

2. 
   Matlab dasturi yordamida quyidagi tenglamani yeching:
   

Berilgan qiymatlar yordamida amallarni bajaring.
a=2; b=1; x=-3; c=-2; y= ax³+b*x²+cx+c;
a=3; b=4; x=2; c=-1; y= ax²+b*x +c*(b/x);

3. 
   Bitta koordinata sistemasida quyidagi y= e^-2x cos(3x) funksiya grafigini chizing (x=[-2:0.05:3]);
   
4. 
   Quyidagi tеnglamani sonli yеching va uning grafigini yasang: f(x)=2(x-3)²+4;
   

VARIANT-№2

1. 
   Matlab dasturi yordamida quyidagi tenglikning qiymatini hisoblang: y=sin²π/8+sin³3π/8+cos²5π/8
   
2. 
   Matlab dasturi yordamida quyidagi tenglamani yeching:
   

Berilgan qiymatlar yordamida amallarni bajaring.
a=1; b=2; x=2; c=-3; y= (ax²/b)+ (bx/c);
a=1; b=3; x=2; c=-4; y=ax⁴+bx³+cx²+b;

3. 
   Bitta koordinata sistemasida quyidagi y= e^-3x cos(x/3) funksiya grafigini chizing (x=[-2:0.05:3]);
   
4. 
   Quyidagi tеnglamani sonli yеching va uning grafigini yasang: f(z)=3(z+1)²+7;
   

NAZORAT SAVOLLARI

1. 
   Matlab dasturining asosiy oynasi nimalardan iborat.
   
2. 
   Matlabda oddiy tenglamalarni yechish buyruqlarini ko’rsating.
   
3. 
   Matlabda matrissalar ustida arifmetik ammallar bajarish buyruqlarini ayting.