2-Kurs talabalari uchun "Oliy matematika" fanidan test topshiriqlari

176. 
     y  3sin t, x  3cost aylananing t  ^₂ dan t  ^₆ gacha bo’lgandigi qismi
     

uzunligi necha u.b?
A) 4	B)	2	C) 6		D)*.
		6

177. 
     x²  y² 16 aylananing x ₂² dan x ₂² gacha bo’lgan qismi uzunligi
     

necha u.b?
A) 	B)	3	C)	5	D)* 2 .
				4
	4
178. x  4sin t  3cost,				0  t   egri chiziq yoyi uzunligi necha u.b?
	y  4cost  3sin t,

A)

^2

B) *

^2

C) 2^2

D) ^2.

2

179. r  4 sin 

egri chiziq yoyi uzunligi necha u.b?

A)

* 4

B) 8

C) 2

D) 16 .

180. Trapetsiyaning katta asos atrofida aylanishidan qanday jism hosil bo’ladi?

A) silindr. B) konus. C) kesik konus. D)* silindr va konus.

181. 
     Trapesiyaning balandlik atrofida aylanishidan qanday jism hosil bo’ladi?
     

A) silindr. B) kesik piramida. C) konus. D) *kesik konus.

181. 
     Chizmadagi sohaning Ox o’qi atrofida aylanishidan
     

hosil bo’lgan jism hajmi necha kub birlik?

A)	243					B)		243		C) *	242		D)		242	 .
	5		5					5	5

183. 
     y  4 cos x kosinusoida bitta yarim to’lqini va Ox o’qning [0; ] kesmasi bilan chegaralangan figuraning Oy o’qi atrofida aylanishidan
     

hosil bo’lgan jismning hajmi
necha kub.b?

A) 2 ^2;	B)	 2			;		C) *8 ^2;	D) 4 ^2.
			2

184. 
     Chizmadagi sohaning Ox o’qi atrofida aylanishidan hosil bo’lgan jism hajmi necha kub birlik?
     

A)



e^2

;

B)



;

C)



(e 1) ;

D) *



(e^2

1) .

2

2

2

2

185. 
     y  2sin x sinusoida bitta yarim to’lqini va Ox o’qning [0; ]
     

kesmasi bilan chegaralangan figuraning Ox o’qi atrofida aylanishidan hosil bo’lgan jismning hajmi necha kub.b?

A) ^2;	B)	 2		;		C) *2 ^2;		D) 4 ^2.
			2

186. 
     Chizmadagi figuraning Ox o’qi atrofida aylanishdan hosil bo’lgan jism hajmi qaysi formula bilan hisoblanadi?
     

^y y  x 2