General

$determine for which values of $x$ the function $f(x)=\begin{cases} \frac{x^2-4}{x-2}+10, &\text{if }x < 2\\ 2x^3-x, &\text{if } x ≥ 2\\ \end{cases}$$

general

determine for which values of $x$ the function $f(x)=\begin{cases} \frac{x^2-4}{x-2}+10, &\text{if }x < 2\\ 2x^3-x, &\text{if } x ≥ 2\\ \end{cases}$

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general

Two sides of a triangle have equal length if the angles opposite them are equal. Is this true? If so, what is the theorem called?

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general

Finding functions for an angle whose terminal side passes through x,y

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general

What's the inverse operation of exponents?

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Gauss Divergence theorem gives a wrong result for a surface integral

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$Why $\zeta (1/2)=-1.4603545088...$?$

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Why $\zeta (1/2)=-1.4603545088...$?

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general

Theorem of Eulerian Path

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general

list of convergent series

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general

If every composition of a differentiable path and a function is differentiable at 0, means the function is differentiable at 0

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general

Why do repunit primes have only a prime number of consecutive $1$s?

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$If a polynomial of degree $n$ has $n$ real roots, then its derivative has $n-1$ real roots. ($n \geq 2$)$

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If a polynomial of degree $n$ has $n$ real roots, then its derivative has $n-1$ real roots. ($n \geq 2$)

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general

How to solve a definite integral?

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Finding the probability of three true or false answers, two of them being true

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$Solving $3x\equiv 4\pmod 7$$

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Solving $3x\equiv 4\pmod 7$

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general

Normal distribution - values are recorded to the nearest 10th of a kilogram problem

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