List questions from hyperbolic-functions

Published on 08 Nov 2017 - 14:25

25

Views

Write $W$ in terms of $U$ and $V$ where $\phi_W=\phi_U+\phi_V$ and $\tanh(i)=\phi_i$ for all $i$.

Published on 10 Nov 2017 - 1:44

3.3k

Views

Prove that $\cosh(x)=\sec(\theta )$ if $x=\ln(\sec \theta + \tan \theta)$

Published on 10 Nov 2017 - 20:14

54

Views

Calculate the value of when the two graphs intersect

Published on 11 Nov 2017 - 13:52

317

Views

Series of Squared Hyperbolic Cosecant

Published on 16 Nov 2017 - 11:44

254

Views

Evaluate $\int \frac{x+1}{x^2+2x}dx$ in two different ways

Published on 26 Nov 2017 - 0:33

675

Views

Confusion over one-sided curly bracket notation for which limits must be computed

Published on 26 Nov 2017 - 15:17

54

Views

How to relate Cosh and $e$ in some expression?

Published on 28 Nov 2017 - 23:24

284

Views

Prove that $\operatorname{Arsinh}(x) \ge \ln(1+x)$ for $x>-1$

Published on 29 Nov 2017 - 18:29

126

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Evaluate $\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}\frac{1}{\cosh(x)+\cosh(y)} \, dy \, dx$

Published on 30 Nov 2017 - 22:29

108

Views

An outline to get the closed-form of $\int_0^\infty\frac{(\operatorname{gd}(x))^3}{(\cosh(x))^4}dx$

Published on 02 Dec 2017 - 13:58

104

Views

Spot the error in $\int\frac{dx}{x\ln x\sqrt{\ln^2x+2\ln x + 4}}$

Published on 03 Dec 2017 - 17:14

1.4k

Views

How are the catenary curve, hyperbolic functions (cosh/sinh) and natural log related?

Published on 19 Dec 2017 - 22:41

2.6k

Views

Arc length to $x$ of a hyperbola?

Published on 27 Mar 2026 - 10:34

108

Views

Why are the hyperbolic functions defined only for the right-hand side of the graph $x^2 - y^2 = 1?$

Published on 30 Dec 2017 - 1:19

List Question

Showing a function is one-to-one

Write $W$ in terms of $U$ and $V$ where $\phi_W=\phi_U+\phi_V$ and $\tanh(i)=\phi_i$ for all $i$.

Prove that $\cosh(x)=\sec(\theta )$ if $x=\ln(\sec \theta + \tan \theta)$

Calculate the value of when the two graphs intersect

Series of Squared Hyperbolic Cosecant

Evaluate $\int \frac{x+1}{x^2+2x}dx$ in two different ways

Confusion over one-sided curly bracket notation for which limits must be computed

How to relate Cosh and $e$ in some expression?

Prove that $\operatorname{Arsinh}(x) \ge \ln(1+x)$ for $x>-1$

Evaluate $\int_{-\infty}^{\infty}\int_{-\infty}^{\infty}\frac{1}{\cosh(x)+\cosh(y)} \, dy \, dx$

An outline to get the closed-form of $\int_0^\infty\frac{(\operatorname{gd}(x))^3}{(\cosh(x))^4}dx$

Spot the error in $\int\frac{dx}{x\ln x\sqrt{\ln^2x+2\ln x + 4}}$

How are the catenary curve, hyperbolic functions (cosh/sinh) and natural log related?

Arc length to $x$ of a hyperbola?

Why are the hyperbolic functions defined only for the right-hand side of the graph $x^2 - y^2 = 1?$

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