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