Primitive Function
Submitted by ladislav.foltyn on Mon, 06/24/2019 - 14:33Question:
\footnotesize
Choose the correct primitive function on $(0;\infty)$:
B
Cube -- Angles
Submitted by ladislav.foltyn on Mon, 06/10/2019 - 16:00Question:
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\begin{minipage}{0.6\linewidth}
The cube $ABCDEFGH$ shown in the picture has edges of length $a$. Find the angle between:
\end{minipage}
\hfill
\begin{minipage}{0.3\linewidth}
\obrA
\end{minipage}
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Equations with Definite Integral
Submitted by ladislav.foltyn on Fri, 05/31/2019 - 13:04Question:
Choose the correct value of the unknown positive real number $m$, so that the given equality holds.
Definite Integral
Submitted by ladislav.foltyn on Thu, 05/23/2019 - 11:48Question:
Choose the correct value of the definite integral:
Derivatives of Elementary Functions
Submitted by ladislav.foltyn on Thu, 05/23/2019 - 10:32Question:
\footnotesize Mark the correct answer for the derivative.
Fifth Term of Geometric Sequence
Submitted by ladislav.foltyn on Thu, 05/23/2019 - 10:00Question:
Find the $5$th term of the given geometric sequence, where $a_n$ denotes the $n$th term, $q$ is common ratio, and $s_n$ is the sum of the first $n$ terms of the sequence.
Cube -- Distances II
Submitted by ladislav.foltyn on Fri, 05/10/2019 - 21:27Question:
The cube $ABCDEFGH$ shown in the picture has edges of length $12\,\mathrm{cm}$. Let $K$ be the midpoint of the edge $EF$ and let $L$ be the midpoint of the edge $GH$. Find the distance between
Analyzing Function Properties on Intervals
Submitted by ladislav.foltyn on Fri, 05/03/2019 - 10:54Question:
Consider the function
$$ f(x)=\frac{x^4-6x^2}4\text{.} $$
In the table, mark all of the true properties of $f$ on the given intervals.
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Parametric Equations of a Line and of Objects on a Line
Submitted by ladislav.foltyn on Thu, 05/02/2019 - 14:40Question:
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We are given points $A=[-1;3]$ and $B=[3;6]$. Further, we are given parametric equations of a straight line $AB$: $x=-1+4t$, $y=3+3t;$ $t\in\mathbb{R}$.
Match each described object lying on the straight line $AB$ with the corresponding set of values of parameter $t$.
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Ranges of Functions
Submitted by ladislav.foltyn on Thu, 05/02/2019 - 13:31Question:
Choose all the functions that have the given range.