All Tasks
Intersection of two linear functions
Determinate the intersection point of the two linear functions:
$f(x)=-1,5x-1\\ g(x)=3x+8$.
# Linear functions
Training
8
An equation with functions
Let $f(x)=xe^x$.
Which $x\in\mathbb{R}$ solves the equation
$f'(x)-f(x)=0$?
# Exponential function
Reasoning
10
Study of horizontal asymptote
Let the function
$f(x)=\frac{e^x+x}{e^x}$,
we can say that
# Exponential function
Training
11
Comparison of functions
Are
$f(x)=\log_2{\frac{4x^2-2x}{2x-1}}$
and
$g(x)=1+\log_2x$
the same function?
# Logarithmic function
Reasoning
11
Fall Time of a Stone
About the previous task, $v(t) = 2,5 (1 - e^{-0,1t})$ after what amount of time is the stone sinking with a velocity of $2 m/s$?
# Parametric functions
Modeling
11
Calculating Natural Logarithm
Solve the following equation: $e^ {x+2}=21$. The result shall be rounded to three places to the right of the decimal point.
# Logarithm properties
Training
11