Индивидуальные задания

Индивидуальные задания

2cosæ x - p ö

ç

1. t =                         è

÷                      ₂

ø ç1 +                      ÷.

0.5 + sin ² y ç                                 3 - z² / 5 ÷

При x=14.26, y=-1.22, z=3.5´10^-2

t=0.564849.

3 8 + x - y ² +1

x- y  (  2                     )x

2.    u =

x² + y² + 2         - e

tg z +1  .

При x=-4.5, y=0.75´10^-4 ,z=0.845´10²

u=-55.6848.

1 + sin ²(x + y)                     y                2 æ         1 ö

3.    v =

x                    + cos

ç arctg    ÷.

è            ø

При x=3.74´10^-2 , y=-0.825, z=0.16´10² , v=1.0553.

(1+2 sin² y )æ

z2                   z3

z4 ö

4.    w =

cos x - cos y

ç1 + z +                  +     +     ÷.

è                        2     3     4 ø

При x=0.4´10⁴

,y=-0.875, z=-0.475´10^-3

w=1.9873.

5. a

= lnæç y-          öæ x - y ö + sin ² arctg (z).

÷ç                                                  ÷

è                                       øè      2 ø

При x=-15.246, y=4.642´10^-2 , z=20.001´10²

a =-182.036.

6.  b =                    10(3   x + x^y+2 )(arcsin² z -  x - y ).

При x=16.55´10^-3 , y=-2.75, z=0.15 b =-38.902.

7. g

= 5arctg

(x)

-   1 arccos                           .

4

При x=0.1722, y=6.33, z=3.25´10^-4

g =-172.025.

8. j =

( )                 ( ) + 3

x⁶ + ln ² y.

При x=-2.235´10^-2 , y=2.23, z=15.221 j =39.374.

9. y =

x x -

+ (y - x)             (y - x) .

1 + (y - x)2

При x=1.825´10² , y=18.225, z=-3.298´ 10 ^-2

y =1.2131.

10.

a = 2^-x

x + 4

y 3 ex-1 / sin z .

При x=3.981´10^-2 , y=-1.625´10³ , z=0.512 a=1.26185.

æ                    sin ² z ö

x - y ç1 +                 ÷

ç                      x + y ÷

11. b = y

+ cos³ (y)            è                 ø .

e x- y + x

2

При x=6.251, y=0.827, z=25.001 b=0.7121.

yæ arctgz - p ö

ç                 ÷

12. с = 2(yx ) + (3^x )y  -   è                              6 ø .

x +    1

y² + 1

При x=3.251, y=0.325, z=0.466´10^-4

c=4.025.

4 y + ³ x -1

13.

f = x - y (sin ² z + tgz).

При x=17.421, y=10.365´10^-3 , z=0.828´10⁵

f=0.33056.

14.     g =

y x+1

x + y

+               2

(x + 1)-1 / sin z .

При x=12.3´10^-1, y=15.4, z=0.252´10³

g=82.8257.

15.    h =

xy +1 + ey -1

(1 +

y - x )+           -            .

2                              3

При x=2.444, y=0.869´10^-2 , z=-0.13´10³

h = -0.49871.

16.    y =

- 2.7

c2 x2

× ecx

+  cos

(a + b)²

cx - b

a = 3.7;b = 0.07;c = 1.5;x = 5.75

(a + b)²                                                           

_-1 ln(a - b)           _x2

17. 17.

y = 4.5 (a - b)2 -    (a + b)(a - b) + 10

× e

ln(a + b)

a = 7.5;b = 1.2;x = 0.5

2                                                              -2

18. 18.

y = 2.4

+  (a - b)sin

(a - b) + 10

(x - b)

a = 5.1;b = 0.7;x = -0.05

19. 19.

y =     ax -          -

5.7(x² + b² )                  x²

tg²b

a = 0.1;b = 2.4;x = -0.3

20.    y =

c - dx²

x

+   ln( x² + c) 0.7x + ad

-       10-2 c - dx³

a = 4.5;c = 7.4;d = -2.1;x = 0.15