Variant 1 Ushbu + funksiyaning minimumini kvadratik interpolyat-siya usuli orqali toping. Boshlang’ich nuqta sifatida 0,25, qadam sifatida ∆x=0,25 va =0,02; =0,05 deb oling

Variant 16

1. 
   Xuk-Jivs usuli algoritmini keltiring va quyidagi shartsiz minimallashtirish masalasini yeching: .
   
2. 
   Ushbu + funksiyaning minimumini oltin kesim usuli yordamida toping ( deb oling).
   
3. 
   Quyidagi chiziqli programmalashtirish masalasini grafik usulda yeching:
   

Variant 17

1. 
   Koordinatalar boʻylab tushish usuli algoritmini keltiring va quyidagi shartsiz minimallashtirish masalasini yeching:
   
2. 
   Ushbu funksiyaning minimumini Dixotomiya usuli yordamida toping
   

( deb oling).

3. 
   Quyidagi chiziqli programmalashtirish masalasini grafik usulda yeching:
   

Variant 18

1. 
   Ushbu + funksiyaning minimumini Fibonachchi usuli yordamida toping ( deb oling).
   
2. 
   Jarimalar usuli algoritmini keltiring va quyidagi shartli minimallashtirish masalasini yeching:
   

3. 
   Quyidagi chiziqli programmalashtirish masalasini grafik usulda yeching:
   

Variant 19

1. 
   Ushbu + funksiyaning minimumini oltin kesim usuli yordamida toping ( deb oling).
   
2. 
   Gradiyentning proyyeksiyasi usuli algoritmini keltiring va quyidagi shartli minimallashtirish masalasini yeching:
   

3. 
   Quyidagi chiziqli programmalashtirish masalasini grafik usulda yeching:
   

Variant 20

1. 
   Nyuton usuli algoritmini keltiring va quyidagi shartsiz minimallashtirish masalasini yeching:
   
2. 
   Ushbu + funksiyaning minimumini oltin kesim usuli yordamida toping ( deb oling).
   
3. 
   Quyidagi chiziqli programmalashtirish masalasini grafik usulda yeching: