List questions from elementary-functions

Published on 17 Apr 2026 - 13:51

37

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mupliplication of cosine of $\pi/2^k$

Published on 13 Apr 2026 - 16:27

207

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Find number of real roots of the polynomial $x^3+7x^2+6x+5$.

Published on 15 Apr 2026 - 19:53

31

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Find a function with certain property

Published on 10 May 2026 - 21:00

40

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Reference request: Source for "Cauchy's Theorem" (?) on integration in elementary functions

Published on 13 Apr 2026 - 1:27

273

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Does $f(x) = x - \tanh(x)$ have an inverse function that can be expressed in terms of elementary functions?

Published on 25 Mar 2026 - 14:27

74

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Inequality of modulus of quadratic polymnomials in $\mathbb{C}$

Published on 14 Apr 2026 - 17:14

88

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Find all $p\in\mathbb R[x]$ s.t. $p' \left(x^2\right)\cdot p'''(x)=3\cdot p''\left(x^2\right)\cdot x^2$

Published on 17 Apr 2026 - 5:33

93

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Domain and preimage of a relation/function

Published on 16 Apr 2026 - 10:22

494

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What would be the most efficient method to programatically implement symbolic integration?

Published on 10 Apr 2026 - 19:50

151

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Integer-Coefficient Polynomial that returns an integer for all inputs of the form $\sqrt{x} - \sqrt[3]{x}$

Published on 14 Apr 2026 - 19:28

57

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Estimates on growth of $^{n}3$

Published on 12 Apr 2026 - 1:46

66

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Find the number of roots of $f(x)$ in the interval $0\leq x\leq 2\pi$

Published on 17 Apr 2026 - 2:57

78

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Prove that $g''(x) = -g(x)$

Published on 16 Apr 2026 - 12:01

58

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Can I square both sides while calculating the Range of a function

Published on 12 Apr 2026 - 3:29

List Question

$f(x)=x^3-ax^2-ax+1,\;\;|x_1|+|x_2|+|x_3|=3$

mupliplication of cosine of $\pi/2^k$

Find number of real roots of the polynomial $x^3+7x^2+6x+5$.

Find a function with certain property

Reference request: Source for "Cauchy's Theorem" (?) on integration in elementary functions

Does $f(x) = x - \tanh(x)$ have an inverse function that can be expressed in terms of elementary functions?

Inequality of modulus of quadratic polymnomials in $\mathbb{C}$

Find all $p\in\mathbb R[x]$ s.t. $p' \left(x^2\right)\cdot p'''(x)=3\cdot p''\left(x^2\right)\cdot x^2$

Domain and preimage of a relation/function

What would be the most efficient method to programatically implement symbolic integration?

Integer-Coefficient Polynomial that returns an integer for all inputs of the form $\sqrt{x} - \sqrt[3]{x}$

Estimates on growth of $^{n}3$

Find the number of roots of $f(x)$ in the interval $0\leq x\leq 2\pi$

Prove that $g''(x) = -g(x)$

Can I square both sides while calculating the Range of a function

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