3.1.2. Варианты задач

1

Y=e^-x cos²(bx)+c/ctg(b)

b=2;c=-0,75;

x=1,5

2

a cos(bt sin(t))+c

Z= --------------------------

sin a + ctg b

a=2;b=0,7;c=0,5;

t=0,2

3

_{3 -------------------------------}

Z=  a +b e^sin(x) +1

a=2; b=1,2;x=0,9

4

_{3 ---------------------------------------}

F =  m tg(t) + c sin³(t)

m=2;c=-1;t=1,1

5

sin(x) ctg(m)

Z = -------------------------- - c ln(mx)

______________

 1 + m² sin²(x)

m=0,7;c=2,1;

x=1,5

6

bx² - a

Y = ------------- arccos (x)

e ^ax - 1

a= -0,5;b=2,3;

x=0,1

7

______

b t e^at + a t+1,5

Z = ---------------------------

arcctg(a) ch(t)

a=-0,5; b=1,5;

t=-0,5

8

_____ _{3 _}_______{__}

e^-ax  x+1 + e ^-bx  x+1,5

S = -------------------------------

ctg x

x=1,3;a=0;

b=1

9

x + a cos(2x)

Z = ------------------------------- arcctg(x)

_____________

x + a + b sin(3x)

a=4,1;b=-2,3;

x=0,5

10

______

b ^x arctg(x / a) -  x+ a

Y = ---------------------------------

sh(x) ctg² (x)

a=3,7;b=0,5;

x=3,5

11

S = e^-ax arccos(x) + e^-bx arcsin (x)

a=0,5;b=0,8;

x=0,5

12

2^x ln(ax) - 3^x ln(bx)

Z = -------------------------------

ctg²(ax)

a=1,2;b=0,7;

x=3,5

13

₃_______________

S = e^-ax  ax + b sin² (2x)

a=1,5;b=-1,2;

x=1,5

14

S = a arctg(t/a) + b arcsin(t/b)

a=1,5;b=2;t=0,8

15

ax + e^-x cos²(bx)

Z = ------------------------------

bx - e^-x ctg (ax) +1

a =0,5; b=2,9;

x=0,5