Matematikalıq funkciyalar hám



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2-Laboratoriya tapsirmalari383

2-Laboratoriya: Javaǵa kirisiw. Identifikatorlar, ózgeriwshiler hám turaqlılar. Sanlı tipler hám literallar. Maǵlımatlardı kiritiw hám shıǵarıw.


Matematikalıq funkciyalar hám ámeller. Sızıqlı algoritmler


Laboratoriyalıq jumısqa tapsırmalar.

TAPSÍRMALAR:





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I-tapsırma. Berilgen ózgeriwshilerdiń mánislerinde ańlatpa mánisleri esaplansın



Ańlatpa

Berilgenler hám nátiyje

1


2 𝑐𝑜𝑠 (𝑥 − 𝜋) 𝑧2
𝑡 = 6 (1 + ).
0.5 + 𝑠𝑖𝑛2 𝑦 3 𝑧2
5

Berilgenler: x=14.26, y=-1.22, z=3.510-2
Nátiyje: t=0.564849.

2




3√8 + |𝑥 − 𝑦|2 + 1
𝑢 = − 𝑒|𝑥−𝑦|(𝑡𝑔2𝑧 + 1)𝑥.
𝑥2 + 𝑦2 + 2

Berilgenler: x=-4.5, y=0.7510-4, z=0.845x102;
Nátiyje: u=-55.6848.

3


1 + 𝑠𝑖𝑛2(𝑥 + 𝑦) 1
𝑣 = 𝑥|𝑦| + 𝑐𝑜𝑠2 (𝑎𝑟𝑐𝑡𝑔 ).
|𝑥 − 2𝑦 | 𝑧
1 + 𝑥2𝑦2

Berilgenler: x=3.74x10-2, y=-0.825, z=0.16x102;
Nátiyje: v=1.0553.

4


2 𝑧2 𝑧3
𝑤 = |𝑐𝑜𝑠 𝑥 − 𝑐𝑜𝑠 𝑦|(1+2 𝑠𝑖𝑛 𝑦) (1 + 𝑧 + +
2 3
𝑧4
+ ).
4

Berilgenler: x=0.4x104 ,
y=-0.875, z=-0.475x10-3;
Nátiyje: w=1.9873.

5


𝛼 = 𝑙𝑛 (𝑦−√|𝑥|) (𝑥 − 𝑦) + 𝑠𝑖𝑛2 𝑎 𝑟𝑐𝑡𝑔(𝑧).
2

Berilgenler: x=-15.246, y=4.642x10-2, z=20.001x102 ;
Nátiyje: 𝛼 =-182.036.

6





𝛽 = 10(3𝑥 + 𝑥𝑦+2)(𝑎𝑟𝑐𝑠𝑖𝑛2 𝑧 |𝑥 𝑦|).

Berilgenler: x=16.55x10-3, y=-2.75, z=0.15;
Nátiyje: 𝛽 =-38.902.

7


1 𝑥 + 3|𝑥 − 𝑦| + 𝑥2


𝛾 = 5𝑎𝑟𝑐𝑡𝑔𝑥 − 𝑎𝑟𝑐𝑐𝑜𝑠 𝑥
4 |𝑥 − 𝑦|𝑧 + 𝑥2

Berilgenler: x=0.1722, y=6.33,
z=3.25x10-4 ;
Nátiyje: 𝛾 =-172.025.

8




𝑒|𝑥−𝑦||𝑥 𝑦|𝑥+𝑦
𝜙 = + 3√𝑥6 + 𝑙𝑛2 𝑦.
𝑎𝑟𝑐𝑡𝑔𝑥 + 𝑎𝑟𝑐𝑡𝑔𝑧

Berilgenler: x=-2.235x10-2, y=2.23,
z=15.221;
Nátiyje: 𝜙 =39.374.

9


𝑧
𝑦 3 𝑦 𝑐𝑜𝑠 𝑦 (𝑦 − 𝑥)
𝜓 = |𝑥𝑥 | + (𝑦 − 𝑥) .
𝑥 1 + (𝑦 − 𝑥)2

Berilgenler: x=1.825x102, y=18.225,
z=-3.298x10-2;
Nátiyje: 𝜓 =1.2131.

10








3 1
𝑎 = 2𝑥𝑥 + 4|𝑦|𝑒𝑥𝑠𝑖𝑛 𝑧

Berilgenler:
x=3.981x10-2,
y=-1.625x103, z=0.512;
Nátiyje: a=1.26185.

11


| | 𝑠𝑖𝑛2 𝑧
𝑥 − 𝑦 (1 + )
3 √𝑥 + 𝑦
𝑏 = 𝑦 √|𝑥| + 𝑐𝑜𝑠3 𝑦 .
𝑒|𝑥−𝑦| + 𝑥2

Berilgenler: x=6.251, y=0.827, z=25.001;
Nátiyje: b=0.7121.

12


𝑦 (𝑎𝑟𝑐𝑡𝑔𝑧 − 𝜋)
с = 2(𝑦𝑥) + (3𝑥)𝑦 6
|𝑥| + 1
𝑦2 + 1

Berilgenler: x=3.251, y=0.325, z=0.466x10-4;
Nátiyje: c=4.025.

13




4 3
𝑦 + 𝑥 1
𝑓 = |𝑥 − 𝑦|(𝑠𝑖𝑛2 𝑧 + 𝑡𝑔𝑧)

Berilgenler: x=17.421, y=10.365x10-3, z=0.828x105;
Nátiyje: f=0.33056.

14


𝑦𝑥+1 𝑥 + 𝑦 1
𝑔 = + 2 (𝑥 + 1)−𝑠𝑖𝑛 𝑧
3|𝑦 − 2| + 3 2|𝑥 + 𝑦|

Berilgenler: x=12.3x10-1, y=15.4, z=0.252x103;
Nátiyje: g=82.8257.

15

𝑥𝑦+1 + 𝑒𝑦−1 |𝑦 − 𝑥|2
ℎ = (1 + |𝑦 − 𝑥|) +
1 + 𝑥|𝑦 − 𝑡𝑔𝑧| 2
|𝑦 − 𝑥|3

3

Berilgenler: x=2.444, y=0.869x10-2,
z=-0.13x103 ;
Nátiyje: h=-0.49871.

16





|𝑥 − 1| 3|𝑦|
𝑎 = 𝑥2 𝑦2 ; 𝑏
1 + 2 + 4
= 𝑥(𝑎𝑟𝑐𝑡𝑔(𝑧) + 𝑒−(𝑥+3))

Berilgenler: x=-1, y=-1, z=3; Nátiyje: a=0.2366935;
b=-1.384381

17

𝑥 + 𝑦
𝑎 = (1 − 𝑦) 𝑥2 + 4 ;
𝑒−𝑥−2 + 1
𝑥2 + 4
1 + 𝑐𝑜𝑠( 𝑦 − 2)
𝑏 = .
𝑥4 + 𝑠𝑖𝑛2 𝑧

Berilgenler: x=1, y=1, z=3;
Nátiyje: a=9.608184;
b=2.962605

18


2 𝑐𝑜𝑠( 𝑥 − 𝜋/6) 𝑧2
𝑎 = 1 ; 𝑏 = 1 + 𝑧2.
2 + 𝑠𝑖𝑛2 𝑦 3 + 5

Berilgenler: x=3, y=4, z=5;
Nátiyje: a =-1.467187;
b = 4.125

19

1 + 𝑠𝑖𝑛2( 𝑥 + 𝑦)
𝑎 = 2𝑥 + 𝑥;
2 + |𝑥 + 1 + 𝑥2𝑦2|
𝑏 = 𝑐𝑜𝑠2( 𝑎𝑟𝑐𝑡𝑔 1)
𝑧

Berilgenler: x=3, y=4, z=5; Nátiyje: a=3.288716;
b=0.9615385

20


(𝑥 + 𝑦)2 𝑧
𝑛 = 𝑥 + (𝑥 − 𝑦)𝑧
𝑧 + 𝑦 𝑥 + 𝑧𝑦

Berilgenler: x=0.0034,
y=-2.4, z=1.210-2
Nátiyje: (n)=542.

21





3 |𝑥 − 3𝑦| 𝑥
𝑚 = (4𝑦 + 𝑦2) + |𝑧 − | (𝑥2 − 𝑧)2 𝑦

Berilgenler: x=-6.7, y=4.7510-3, z=0.38x102;
Nátiyje: (m)=1449.

22


𝑘 = ln|𝑒𝑥+𝑦(𝑥 + 𝑦)| |𝑧 + 𝑦|
4𝑧

Berilgenler:
x=4.53x10-3,
y=-0.576, z=2.4x102;
Nátiyje:
k= -0.01822973.




23




5 l og |𝑥+(𝑧 + 2)𝑦|
𝑑 = √|3𝑥𝑧 + 𝑦| − z 4
𝑒𝑧+1

Berilgenler: x=95.7 ,
y=-0.342, z=-7.5x10-2;
Nátiyje: d= 1.951508.

24


𝑠𝑖𝑛2(𝑧)


ℎ = | sin(𝑥 + 𝑦) cos(𝑥𝑦 + 𝑥3)| +
cos(𝑧2)

Berilgenler: x=45.15, y=- 6.4x10-3,
z=351 ;
Nátiyje: h= 1.074719.

25

𝑎 = 𝑎𝑟𝑐𝑠𝑖𝑛2(𝑠𝑖𝑛3(𝑦4))𝑡𝑔(𝑥 + 𝑧)

Berilgenler:
x=23.7x10-3,
y=4.23, z=-0.35x102;
Nátiyje: a= - 2.271191774540639E-4.

26





𝑧|𝑥3 + 4𝑦2|
𝑏 = 𝑦 − 7𝑥+𝑧
𝑦 + 𝑥 + 𝑧

Berilgenler: x=89.4x10-3, y=0.45,
z=-6.73;
Nátiyje: b= 2.6990459.

27


𝑒𝑥 + 𝑒𝑦


𝑐 = log8 |𝑦 − |
|𝑧−3 − 𝑦|

Berilgenler: x=-5.98x10-2, y=8.54,
z=0.098x104; Nátiyje: [c]=3.

28


𝑑 = 𝑐𝑜𝑠𝑠𝑖𝑛2(𝑥+𝑦)(𝑥 − 𝑦) + 𝑎𝑟𝑐𝑡𝑔(𝑧 𝑥)
𝑐𝑜𝑠2(𝑧 + 𝑥)

Berilgenler: x=0.653x102, y=-8.76,
z=-5.978x10-2;
Nátiyje: d= -1.81764348.

29



𝑓 = 𝑧𝑦𝑒𝑥+𝑧 |𝑥2 + 3𝑦|

Berilgenler: x=4.98x10-2, y=3.453, z=1.084;
Nátiyje: f=2.5914874368806418.

30


3 𝑐𝑜𝑠3𝑦


𝑔 = 𝑧 √𝑥 + |𝑦2 − ln|𝑦 + 𝑧||
𝑒𝑧

Berilgenler: x=0.12x102, y=-45.3x10-3, z=45.45;
Nátiyje: g=6234.555360694473.

31


3
𝑗 = ((𝑥 √𝑧)𝑦 + lg(𝑦𝑥 + 𝑥𝑦))



Berilgenler: x=5.456, y=1.2, z=5.43x10-2;
Nátiyje: j=3.1774812730784086.

32




3
𝑥 + √|𝑥 − 𝑧|
𝑝 =
𝑎𝑟𝑐𝑡𝑎𝑛3(𝑦 + 𝑧2)

Berilgenler: x=25.6, y=- 3.985x10-2, z=5.44;
Nátiyje: p=0.8566609792053939.




33




(1 + 𝑦)𝑥 𝑠𝑖𝑛3𝑥
𝑞 = − + 𝑒|𝑥−𝑦|
3𝑧 + 𝑦 1 + lg 𝑧4

Berilgenler: x=4.3x10-2, y=6.7, z=0.98;
Nátiyje: q=0.1915883011105041.

34

𝑐𝑡𝑔𝑥 − |𝑧3 + 𝑥𝑠𝑖𝑛𝑧|


𝑣 =
√|𝑎𝑟𝑐𝑡𝑔𝑧𝑦 − lg|𝑧2+𝑥| + 𝑦|

Berilgenler: x=47.25x10-3, y=7.25, z=1.25;
Nátiyje: v=10.15406097.



II-tapsırma. Ańlatpalardaǵı ózgeriwshi mánislerin Scanner klasınan paydalanıp System.in arqalı kiritip esaplań






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