1-kurs 2-semestr tmj va eee (sirtqi) yo’nalishi talabalari uchun oraliq nazorat testi (1-variant) 1

1-kurs 2-semestr TMJ va EEE (sirtqi) yo’nalishi talabalari uchun oraliq nazorat testi (1-variant)
1.
A) B) C) D)
2. Funksiya differensiallanuvchi bo‘lishining zaruriy sharti nimadan iborat?
A) Agar zf (x, y) funksiya P(x,y) nuqtada differensiallanuvchi bo‘lsa, u holda u shu nuqtada va xususiy hosilalarga ega bo‘ladi.
B) Agar z f (x, y) funksiya P(x; y) nuqtaning biror atrofida uzluksiz xususiy hosilalarga ega bo‘lsa, u holda u shu nuqtada differensiallanuvchi bo‘ladi.
C) Agar z f (x, y) funksiya P(x; y) nuqtada uzluksiz xususiy hosilalarga ega bo‘lsa, u holda u shu nuqtada differensiallanuvchi bo‘ladi.
D) Agar zf (x, y) funksiya P(x,y) nuqtada xususiy hosilalarga ega bo‘lsa, u holda u shu nuqtada va differensiallarga ega bo‘ladi.
3. z=x^y, x=t, y=2t.
A) t(1+lnt) B) 2t^2t(1+lnt) C) 2t^t(1+lnt) D) t(1-lnt)


4. zf(x,y) funksiyaning P(x;y) nuqtadagi to‘liq differensiali deb nimaga aytiladi?
A) B) C) D)


5. z=2x²-3xy funksiyaning to‘liq differensialini toping.
A) dz=(4x-3y)dx-3xdy B) dz=7xdx-3xdy C) dz=(4x+3y)dx+3xdy D) dz=(4x-3y)dx-3ydy
6. Quyidagi integralni xisoblang.
A) B) C) D)
7. funktsiyaning aniqlanish sohasini toping.
A) B) C) D)
8. aniqmas integralni hisoblang.
A) B) C) D)
9. dx ni xisoblang?
A) 0 B) 2 C) 3 D) 1
10. aniqmas integralni hisoblang.
A) B) C) D)
Tuzuvchi M.Qambarov
Kafedra mudiri N.Xolmirzayev