# Recent questions tagged formula

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Let $A(t)$ be a family of real square matrices depending smoothly on the parameter $t$.
Let $A(t)$ be a family of real square matrices depending smoothly on the parameter $t$.Let $A(t)$ be a family of real square matrices depending smoothly on the parameter $t$. a) Find a formula for the derivative of $A^{2}(t)$. b) ...
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What is a descending arithmetic sequence?
What is a descending arithmetic sequence?What is a descending arithmetic sequence? ...
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What is a geometric sequence?
What is a geometric sequence?What is a geometric sequence? ...
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Find the sum of the multiples of 3 between 28 and $112 .$
Find the sum of the multiples of 3 between 28 and $112 .$Find the sum of the multiples of 3 between 28 and $112 .$ ...
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What is an arithmetic series?
What is an arithmetic series?What is an arithmetic series? ...
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Write the first five terms of a sequence described by the general term $a_{n}=3 n+2$
Write the first five terms of a sequence described by the general term $a_{n}=3 n+2$Write the first five terms of a sequence described by the general term $a_{n}=3 n+2$ ...
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What is an abstraction of a concept $C$?
What is an abstraction of a concept $C$?What is an abstraction of a concept $C$? ...
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Derive the formula $\cos A \cos B=\frac{1}{2}(\cos (A+B)+\cos (A-B))$
Derive the formula $\cos A \cos B=\frac{1}{2}(\cos (A+B)+\cos (A-B))$Derive the formula $\cos A \cos B=\frac{1}{2}(\cos (A+B)+\cos (A-B))$ ...
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Given the Newtonian formula $F=ma$, can we conclude that acceleration causes force?
Given the Newtonian formula $F=ma$, can we conclude that acceleration causes force?Given the Newtonian formula $F=ma$, can we conclude that acceleration causes force? ...
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What is $f(x) = \dfrac{x}{x-1}$ for $x = 1$?
What is $f(x) = \dfrac{x}{x-1}$ for $x = 1$?What is $f(x) = \dfrac{x}{x-1}$ for $x = 1$? ...
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What is the formula for sample standard deviation?
What is the formula for sample standard deviation?What is the formula for sample standard deviation? ...
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What does the term "condensed structural formula" mean?
What does the term "condensed structural formula" mean?What does the term &quot;condensed structural formula&quot; mean? ...
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What does the term "structural formula" mean?
What does the term "structural formula" mean?What does the term &quot;structural formula&quot; mean? ...
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What does the term "molecular formula"mean?
What does the term "molecular formula"mean?What does the term &quot;molecular formula&quot;mean? ...
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The first and second terms of an arithmetic sequence are 10 and 6 respectively.
The first and second terms of an arithmetic sequence are 10 and 6 respectively.The first and second terms of an arithmetic sequence are 10 and 6 respectively. a) Calculate the $11^{\text {th }}$ term of the sequence. b) The su ...
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The sum of the series $22+28+34+\ldots$ is 1870 . Determine the number of terms.
The sum of the series $22+28+34+\ldots$ is 1870 . Determine the number of terms.The sum of the series $22+28+34+\ldots$ is 1870 . Determine the number of terms. ...
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State Euler's product formula
State Euler's product formulaState Euler's product formula ...
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What is Euler's formula for polyhedra?
What is Euler's formula for polyhedra?What is Euler's formula for polyhedra? ...
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Prove that $\ln x \leq x-1$ for $x>0$
Prove that $\ln x \leq x-1$ for $x>0$Prove that \ \ln x \leq x-1 \ for $x&gt;0$ ...
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What is the Binomial distribution and why is it important?
What is the Binomial distribution and why is it important?What is the Binomial distribution and why is it important? ...
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What is the formula for expected value in statistics and probability?
What is the formula for expected value in statistics and probability?What is the formula for expected value in statistics and probability? ...
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Make $S$ the subject of the relation $\mathrm{p}=\mathrm{s}+\frac{\mathrm{sm}^{2}}{\mathrm{nr}}$
Make $S$ the subject of the relation $\mathrm{p}=\mathrm{s}+\frac{\mathrm{sm}^{2}}{\mathrm{nr}}$Make $S$ the subject of the relation \ \mathrm{p}=\mathrm{s}+\frac{\mathrm{sm}^{2}}{\mathrm{nr}} \ ...
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Find the value of $x$ such that $8^{x+1}=4^{3 x-1}$
Find the value of $x$ such that $8^{x+1}=4^{3 x-1}$Find the value of $x$ such that \ 8^{x+1}=4^{3 x-1} \ ...
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Explain the concept of required rate of return and discuss the components of an investor's required rate of return