Boshlang’ich, oraliq va yakuniy nazorat ishlar to’plami I bosqich talabalari uchun boshlang’ich, oraliq va yakuniy nazorat ishlar

Test savollar.

I variant.

1. log ₂2 nechaga teng?

a) 2 b) 1 c) 0 d) -1

2. log ₇1 nechaga teng?

a) 1 b) 0 c) 7 d) -1

3. Tenglamani yeching : log ₃x = 2

a) 3 b) 2 c) 9 d) 6

4. Tenglamani yeching : lg x = 3

a) 1000 b) 100 c) 10 d) 10000

5. logarifmik funksiyani toping.

a) y=a^x b) y=log_ax c) y=xⁿ d) y=e^x

6. f(x)=3x+2 funksiya hosilasini toping.

a) 3 b) 2 c) 3x d) 3x+2

7. f(x)=sinx funksiya hosilasini toping.

a) cosx b) sinx c) -cosx d) -sinx

8. f(x)=2^x funksiya hosilasini toping.

a) 2^x b) 2x c) 2^x ln2 d) 2ln2

9. f(x)=x^-19 funksiya hosilasini toping.

a) x ^-20 b) x¹⁹ c) -19x^-20 d) -19x²⁰

10. y=lnx funksiya hosilasini toping.

a) lnx b) c) x d) e^x

11. Funksiya hosilasini toping. 2x⁴+4x³

a) 8x³+12x² b) 2x+4x c) 8x+12x d) 8x⁴+12x³

12. Berilgan funksiyaga teskari funksiyani toping. y = 9x + 1

a) y = x + 3 b) y = x + 9 c) y = d) y =-x +

13. Berilgan funksiyaga teskari funksiyani toping. y = x+3

a) y = 2x - 6 b) y = 3x + 4 c) y = + 2 d) y =-3x - 4

14. Boshi va oxiri berilgan vektor koordinatasini toping.

A = {4;-2;0} B = {3; 9;1}

a) (0;1;3) b) (-1;11;1) c) (0;2;3) d) (1;-11;-1)

15. Boshi va oxiri berilgan vektor koordinatasini toping.

A = {1;0;2} B = {2;3;-4}

a) (1;3;-6) b) (1;2;0} c) (9;0;3) d) (1;-1;4)

16. (4;2;4) vektorning modulini, ya’ni uzunligini toping.

a) | | = b) | | = 6 c) | | = 3 d) | | = 8

17. (2; -6; 3) vektorning modulini, ya’ni uzunligini toping.

a) | | = 8 b) | | = 7 c) | | = 9 d) | | = 6

18 (-1; 0; 2) vektorning modulini, ya’ni uzunligini toping.

a) | | = b) | | = c) | | = d) | | = 6

19 Quyidagi ikki nuqta orqsidagi masofani toping. A =(2; 3; 4} B = (-1; 0; 3)

a) A₁A₂ = b) A₁A₂ = c) A₁A₂ = d) A₁A₂ =

20. Quyidagi tayanch so’z iboralaridan qaysilari matematika faniga tegishli?

a) optika, lupa, vatt b) diagnoz, symptom, baksina

c) ellips, yuza, hajm d) yurak, muskul, aorta.

21. Quyidagi tayanch so’z iboralaridan qaysilari matematika faniga tegishli?

a) reaksiya, davriy jadval, yod b) arifmatika, п soni, prizma

c) lug’at, tarjima, ega d) tomir, mushak, buyrak

22. Funksiyaning maksimum nuqta qoidasini toping.

a) hosilaning ishorasi musbatdan manfiyga o’zgaradi.

b) hosilaning ishorasi manfiydan musbatga o’zgaradi.

c) X₀ ekstrimum nuqta

d) hosila ishorasi o’zgarmasa

23. Funksiyaning monoton oraliqlari deb nimaga aytiladi?

a) funksiyaning o’sish va kamayish oraliqlariga

b) funksiyaning maksimum va minimum nuqtalaqiga

c) funksiyaning statsionar nuqtasiga

d) funksiyaning ekstremum nuqtalariga

24. Funksiyaning ekstrimum nuqtalari deb qanday nuqtalarga aytiladi?

a) funksiyaning o’sish va kamayish oraliqlariga

b) funksiyaning maksimum va minimum nuqtalaqiga

c) funksiyaning statsionar nuqtasiga

d) funksiyaning monoton oraliqlari

25. f ^/(3) ni hisoblang. f(x) = 6x³+8x²

a) 200 b) 210 c) 190