O‘zbekiston respublikasi

Tenglama	№
Tenglama
1.	(x - 3) ∙ cos(x) = 1	31.	3x^4 + 4x^3 - 12x^2 - 5 = 0
2.	sin(x + ^) – 0,5x = 0 3	32.	2x^3 – 9x^2 – 60x + 1 = 0
3.	(x - 1)^2 ∙ lg(x + 11) = 1	33.	x^4 - x - 1 = 0
4.	cos(x + 0,5) = x^3	34.	2x^4 - x^2 - 10 = 0
5.	5∙sin(x) = x	35.	3x^4 + 8x^3 + 6x^2 - 10 = 0
6.	tg(x) = x + 1,25	36.	x^4 - 18x^2 + 6 = 0
7.	x^2 ∙ cos(2x) = -1	37.	x^4 + 4x^3 - 8x^2 - 17 = 0
8.	x ∙ lg(x + 1) = 1	38.	x^4 - x^3 - 2x^2 + 3x - 3 = 0
9.	x^2 – 20∙sin(x + 0,5) = 0	39.	3x^4 + 4x^3 – 12x^2 + 1 = 0
10.	2∙lg(x) -x/2 + 1 = 0	40.	3x^4 - 8x^3 - 18x^2 + 2 = 0
11.	(x - 2) ∙ cos(x) = 1	41.	2x^4 - 8x^3 + 8x^2 - 1 = 0
12.	sin(x - 0,5) - x + 0,5 = 0	42.	2x^4 + 8x^3 + 8x^2 - 1 = 0
13.	(x - 2)^2 ∙ lg(x + 11) = 1	43.	x^4 - 4x^3 - 8x^2 + 1 = 0

14.	cos(x + 0,3) = x^2	44.	2^x + 5x - 3 = 0
15.	(x - 1)^2 ∙ 2x = 1	45.	5^x - 6x - 3 = 0
16.	tg^3(x) = x – 1	46.	e^-2x - 2x + 1 = 0
17.	0,5^x - 3 = (x + 2)^2	47.	arctg(x) + ^1 + 2 = 0 3x ^3
18.	2∙x^2 - 0,5^x - 2 = 0	48.	3^x-1 – 1,5 - x = 0
19.	x∙log 3 (x + 1) = 2	49.	arctg(x - 1) + 2x = 0
20.	2∙sin(x - ^) = 0,5 - x^2 3	50.	2∙arctg(x) - x + 1 = 0
21.	[log 2 (x + 2)] ∙ (x - 1) = 1	51.	3^x + 2x - 2 = 0
22.	x^2 ∙ 2^x = 1	52.	2∙arctg(x) - 3x + 2 = 0
23.	(x – 3,1)^2 ∙ log 0,5 (x - 2) = - 1	53.	e^x + x + 1 = 0
24.	cos(x + 0,5) = x^3	54.	2∙e^x = 5x+1
25.	[log 2 (-x)] ∙ (x + 2) = - 1	55.	arctg(x - 1) + 2x - 3 = 0
26.	2∙sin(x + ^) = 0,5x^2 – 1 3	56.	2^x - 3x + 2 = 0
27.	(x + 2) ∙log 2 (x) = 1	57.	arctg(x) + 2x - 1 = 0
28.	(x - 4)^2 ∙ log 0,5 (x - 3) = - 1	58.	3^x - 2x - 5 = 0
29.	[(x - 2)^2 - 1] ∙ 2^x = 1	59.	2∙e^x - 2x - 3 = 0
30.	0,5^x + 1 = (x - 2)^2	60.	arctg(x - 1) + 3x - 1 = 0.

3. 
   Quyida berilgan variantlar uchun Microsoft Excel jadval protsessori va Maple, MATLAB, Matchad matematik paketlardan foydalanib, 1- topshiriqning a) va b) bandlarida topilgan ildizlarni 0,000001 aniqlik bilan vatarlar va urinmalar usullari yordamida aniqlashtirishning hisob dasturini tuzing, olingan natijalarni taqqoslang.
   

№	Tenglama	№	Tenglama
1.	x – sin(x) = 0,25	16.	x  cos(0,387x)  0
2.	tg(0,58x + 0,1) = x^2	17.	lg(x) - ^7 0 2x  6
3.	tg(0,4x + 0,4) = x^2	18.	ctg(x) - ^x 0 4
4.	tg(0,5x + 0,2)	19.	ctg(x) - ^x 0 3
5.	3x – cos(x) - 1 = 0	20.	ctg(x) - ^x 0 2
6.	x + lg(x) = 0,5	21.	ctg(x) - ^x 0 10

7.	tg(0,5x + 0,1) = x^2	22.	ctg(x) - x/5  0
8.	x^2 + 4∙sin(x) + 1 = 0	23.	2 lg(x) - x/2  1  0.
9.	ctg(1,05x) - x^2 = 0	24.	x + lg(x) = 0,5
10.	tg(0,4x + 0,3) = x^2	25.	3x – cos(x) - 1 = 0
11.	x ∙ lg(x) - 1,2 = 0	26.	(x + 1)^2 + 4∙sin(x) = 0
12.	1,8x^2 – sin(10x) = 0	27.	tg(0,36x + 0,4) = x^2
13.	tg(0,23x + 0,4) = x^2	28.	x^2 + 4∙sin(x – 0,4) = 0
14.	x^2 – 20∙sin(x + 0,1) = 0	29.	2x – lg(x) - 7 = 0
15.	tg(0,47x + 0,2) = x^2	30.	tg(0,44x + 0,3) = x^2

4. 
   Quyida berilgan variantlar uchun Microsoft Excel jadval protsessori va Maple, MATLAB, Matchad matematik paketlardan foydalanib, 1- topshiriqning a) va b) bandlarida topilgan ildizlarni 0,000001 aniqlik bilan vatarlar va iteratsiyalar usullari yordamida aniqlashtirishning hisob dasturini tuzing, olingan natijalarni taqqoslang.
   

№	Tenglama	№	Tenglama
1.	x^3 - 3x^2 + 9x - 8 = 0	16.	x^3 - 6x - 8 = 0
2.	x^3 - 3x^2 + 6x + 3 = 0	17.	x^3 - 0,1x^2 + 0,4x - 1,5 = 0
3.	x^3 - 3x^2 + 9x + 2 = 0	18.	x^3 + x - 5 = 0
4.	x^3 + 0,2x^2 + 0,5x - 1,2 = 0	19.	x^3 + 3x + 1 = 0
5.	x^3 + 0,2x^2 + 0,5x - 2 = 0	20.	x^3 - 3x^2 + 12x - 9 = 0
6.	x^3 - 0,2x^2 + 0,3x - 1,2 = 0	21.	x^3 - 3x^2 + 6x - 2 = 0
7.	x^3 - 0,1x^2 + 0,4x - 1,5 = 0	22.	x^3 + 3x^2 + 6x - 1 = 0
8.	x^3 + 0,1x^2 + 0,4x - 1,2 = 0	23.	x^3 + 4x - 6 = 0
9.	x^3 + 0,2x^2 + 0,5x + 0,8 = 0	24.	x^3 - 3x^2 + 12x - 12 = 0
10.	x^3 - 0,2x^2 + 0,3x + 1,2 = 0	25.	x^3 - 2x + 4 = 0
11.	x^3 - 0,2x^2 + 0,5x - 1,4 = 0	26.	x^3 - 3x^2 + 6x - 5 = 0
12.	x^3 - 0,1x^2 + 0,4x +1,2 = 0	27.	x^3 - 0,2x^2 + 0,5x - 1 = 0
13.	x^3 + 3x^2 + 12x + 3 = 0	28.	x^3 - 0,1x^2 + 0,4x + 2 = 0
14.	x^3 - 0,2x^2 + 0,4x - 1,4 = 0	29.	x^3 + 0,4x^2 + 0,6x - 1,6 = 0
15.	x^3 + x - 3 = 0	30.	x^3 - 0,2x^2 + 0,5x + 1,4 = 0

5. 
   Quyida berilgan variantlar uchun Microsoft Excel jadval protsessori va Maple, MATLAB, Matchad matematik paketlardan foydalanib, 1- topshiriqning a) va b) bandlarida topilgan ildizlarni 0,000001 aniqlik bilan urinmalar va iteratsiyalar usullari yordamida aniqlashtirishning hisob dasturini tuzing, olingan natijalarni taqqoslang.
   

№	Tenglama	№	Tenglama
1.	lg(x) + (x + 1)^3 = 0	16.	x 1 1/x
2.	3x + cos(x) + 1 = 0	17.	x ∙ 2^x = 1
3.	x + lg(x) = 0,5	18.	x – cos(x) = 0
4.	2 - x = ln(x)	19.	(x -1)^2  0,5 e^x
5.	(2 - x) ∙ e^x = 0	20.	2,2x - 2^x = 0
6.	x^2 + 4∙sin(x – 0,1) = 0	21.	2x – lg(x) = 7
7.	5x - 8∙ln(x) = 8	22.	3x - e^x = 0
8.	x ∙ (x + 1)^2 = 1	23.	x^2 – 0,5 = sin(x)
9.	x = (x + 1)^3	24.	x^3 = sin(x + 0,3)
10.	x^2 = ln(x + 1)	25.	x  lg(x  2)
11.	2x + cos(x) = 0,5	26.	2x + lg(x) = - 0,5
12.	sin(0,5x) + 1 = x^2	27.	0,5x + lg(x - 1) = 0,5
13.	sin(0,5 + x) = 2x - 0,5	28.	lg(2 + x) + 2x = 3
14.	lg(1 + 2x) = 2 - x	29.	2∙sin(x - 0,6) = 1,5 - x
15.	x + lg(1 + x) = 1,5	30.	x + cos(x) = 1

Izoh: 1) Dastlab funksiyaning grafigini matematik paketlardan birida (Maple, Matlab, Mathcad, Mathematica va boshqa) yoki MS Excel dasturida chizing, haqiqiy ildizlar yotgan oraliqlarni aniqlab oling, hisoblashlarni qo‘lda va dastur yordamida bajaring. 2) Yuqorida keltirilgan barcha mustaqil ish topshiriqlarini qolgan barcha taqribiy usullar bilan ham bajarib ko‘rish tavsiya etiladi.