## All Tasks

#### Domain and range of arccotan

The domain ($D_f$) and the range ($D^{\prime}_f$) of the function
$f(x)=\pi^2-\dfrac{3\pi}{2}\text{arccot}\left(\dfrac{2x+1}{3}\right)$ are, respectively:

# Functions of one variable

Training

13

#### Perpendicular lines

Let the line $(e): y=-\frac x4-3$
Find the slope of $h$ line, If $h$ is perpendicular to $e$.

# Functions & characteristics

Training

11

#### Find the slope

Can you find the slope of a line which is perpedicular to the line of image?

# Functions & characteristics

Training

11

#### Angle of inclination

If in one linear function the angle of inclination is equal to $\phi = \frac{\pi}{4}$.
The slope of this function is

# Linear functions

Training

8

#### Find the coefficients of terms in algebraic expression_1

Find the number $a$ if the following algebraic expression is independent of $x$.
$A= a(x+y+2)-2(x+2y)+6$

# Linear equations

Reasoning

8

#### Find the Algebraic expression

Which of the following algebraic expressions will give us the expression:
$3x+2y-3$

# Linear equations

Learning

8