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 6

1. 
   Nyuton usuli algoritmini keltiring va quyidagi shartsiz minimallashtirish masalasini yeching:
   
2. 
   Ushbu funksiyaning minimumini intervalni teng ikkiga bo’lish usuli yordamida toping. Algoritmni yakunlash uchun deb oling.
   
3. 
   Quyidagi chiziqli programmalashtirish masalasini grafik usulda yeching:
   

Variant 7

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. 
   Gradiyentning proyeksiyasi usuli algoritmini keltiring va quyidagi shartli minimallashtirish masalasini yeching:
   

3. 
   Quyidagi chiziqli programmalashtirish masalasini grafik usulda yeching:
   

Variant 8

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 9

1. 
   Xuk-Jivs usuli algoritmini keltiring va quyidagi shartsiz minimallashtirish masalasini yeching:
   
2. 
   Ushbu funksiyaning minimumini intervalni teng ikkiga bo’lish usuli yordamida toping. Algoritmni yakunlash uchun deb oling.
   
3. 
   Quyidagi chiziqli programmalashtirish masalasini grafik usulda yeching:
   

Variant 10

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: