Differensial geometriya fanidan yakuniy nazorat savollari o’qituvchi T. Safarov

O’qituvchi T. Safarov

4-bilet
1.Aylanma ellipsoid uchun quyidagilarni bajaring.
a) Urinma tekislik tenglamasini keltirib chiqaring.
c) Ko’ndalang kesimidan hosil bo’lgan aylana uzunligini toping.
e) ichki burchaklarini toping.
2.Vint chizig’i

parametrik tenglamalari bilan berilgan bo’lsa, uning nuqtasidagi urinma,
yopishma tekislik tenglamalarini tuzing.,
3. Shu tenglamaning boshnormal va binormal tenglamalarini tuzing.

kAFEDRA MUDIRI : i.hAYRULLAYEV

DIFFERENSIAL GEOMETRIYA FANIDAN YAKUNIY NAZORAT SAVOLLARI

O’qituvchi T. Safarov

5-bilet
1.Aylanma parabaloid ustida quyidagilarni bajaring.
a) Urinma tekislik tenglamasini keltirib chiqaring.
c) Ko’ndalang kesimidan hosil bo’lgan aylana uzunligini toping.
e) chiziqlar bilan chegaralangan uchburchakning ichki burchaklarini toping.
2. chiziqning (2,0,-1)nuqtadagi egriligini toping.
3. egri chiziqning nuqtadagi urinma tenglamasini toping.

kAFEDRA MUDIRI : i.hAYRULLAYEV

DIFFERENSIAL GEOMETRIYA VA TOPOLOGIYA FANIDAN YAKUNIY NAZORAT SAVOLLARI

O’qituvchi T. Safarov

6-bilet
1.Katenoid ustida quyidagilarni bajaring.
a) Urinma tekislik tenglamasini keltirib chiqaring.
c) chiziqlar bilan chegaralangan uchburchakning ichki burchaklarini toping.
d) chiziqlar bilan chegaralangan uchburchakning yuzini hisoblang.
2. chiziqning buralishini toping(t=2).
3. chiziqning nuqtadagi binormal va bosh normal tenglamasini tuzing kAFEDRA MUDIRI : i.hAYRULLAYEV

DIFFERENSIAL GEOMETRIYA FANIDAN YAKUNIY NAZORAT SAVOLLARI