1-variant Tenglamani yechimini toping. Tengsizlikni yeching. Silindrning yasovchisiga perpendikulyar bo’lgan kesimning yuzi m ga, o’q kesimning yuzi esa n ga teng. Bu silindrning hajmini toping. Limitni hisoblang

51-variant

1. 
   Tenglamani yechimini toping.
   
2. 
   Tengsizlikni yeching.
   
3. 
   Piramidaning asosi parallelogrammdan iborat bo’lib, uning tomonlari 10 sm va 18 sm ga, yuzi esa 90 sm² ga teng. Piramidaning balandligi 6 sm ga teng bo’lib, u asos diagonallarining kesishish nuqtasidan o’tadi. Bu piramidaning yon sirtini aniqlang.
   
4. 
   Limitni hisoblang.
   
5. 
   _{Integralni hisoblang.}
   

52-variant

1. 
   Tenglamani yechimini toping.
   
2. 
   Tengsizlikni yeching.
   

3. 
   Yon qirralarining har biri a ga teng bo’lgan uch burchakli piramidaning uchidagi yassi burchaklaridan biri 90⁰ ga, qolganlarining har biri esa 60⁰ ga teng. Piramidaning hajmini toping.
   
4. 
   Limitni hisoblang.
   
5. 
   _{Integralni hisoblang.}
   

_53-variant

1. 
   Tenglamani yechimini toping.
   
2. 
   Tengsizlikni yeching.
   
3. 
   Konus asosining radiusi R ga, uning yon sirti esa asosi va o’q kesimi yuzlarining yig’indisiga teng. Konusning hajmini toping.
   
4. 
   Limitni hisoblang.
   
5. 
   Integralni hisoblang.
   

54-variant
1) Tenglamani yechimini toping.

2. 
   Tengsizlikni yeching.
   
3. 
   Radiusi R bo’lgan sharga olti burchakli muntazam prizma tashqi chizilgan. Prizmaning to’la sirtini toping.
   
4. 
   Limitni hisoblang.
   

2. 
   _{Integralni hisoblang.}
   

55-variant

1. 
   Tenglamani yechimini toping.
   
2. 
   Tengsizlikni yeching.
   
3. 
   Sharga asosining diagonallari a va b ga teng bo’lgan to’g’ri parallelepiped tashqi chizilgan. Bu parallelepipedning to’la sirtini aniqlang.
   
4. 
   Limitni hisoblang.
   
5. 
   _{Integralni hisoblang.}