Akademik litsey “”International Нouse-Tashkent” iii-kurs Matematika

Akademik litsey “”International Нouse-Tashkent” III-kurs Matematika__________

1-VARIANT

1. 
   Ifodani soddalashtiring:
   

2. 
   Tengsizlikni yeching
   

3. 
   Tenglamani yeching sin2xsin6x=sin3xsin5x
   

4. Aniqmas integralni toping:



5. АВС uchburchak markazi O nuqtada, radiusi 8 ga teng bo’lgan aylanaga ichki chizilgan ВОС uchburchakning yuzini toping, agar burchak В = 40°, burchak

С =35°bo’lsa.

6. Doiraga tashqi chizilgan tеng yonli trapеtsiyaning yuzi S ga tеng, trapеtsiyaning balandligi esa uning yon tomonidan ikki marta kichik. Ichki chizilgan doiraniig radiusini toping.

7. Silindr o`qiga parallel kesim asos aylanasidan 120°li yoy ajratadi. Silindr asosining radiusi R ga, kesimning diagonali va silindr o’qi orasidagi burchak 30°ga teng. Silindrngning hajmini toping.