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 11

1. 
   Ushbu - funksiyaning minimumini kvadratik interpolyat-siya usuli orqali toping. Boshlang’ich nuqta sifatida 0,25, qadam sifatida ∆x=0,5 va =0,02; =0,05 deb oling.
   
2. 
   Jarimalar usuli algoritmini keltiring va quyidagi shartli minimallashtirish masalasini yeching:
   

3. 
   Quyidagi chiziqli programmalashtirish masalasini grafik usulda yeching:
   

Variant 12

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

3. 
   Quyidagi chiziqli programmalashtirish masalasini grafik usulda yeching:
   

Variant 13

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

Variant 14

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.
   
2. 
   Jarimalar usuli algoritmini keltiring va quyidagi shartli minimallashtirish masalasini yeching:
   

3. 
   Quyidagi chiziqli programmalashtirish masalasini grafik usulda yeching:
   

Variant 15

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