List questions from rational-functions

366

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Does there exist a function $f_{\Box,\Box}(\Box)$ making the formula $a + (b \oplus c) = (f_{b,c}(a)+b) \oplus (f_{c,b}(a)+c)$ true?

Published on 27 Mar 2026 - 8:42

37

Views

Dealing with a polynomial sum

Published on 20 May 2019 - 15:01

90

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Solving $\frac{\alpha^2}{(t_1-x)^2}+\frac{\beta^2}{(t_2-x)^2}=1$

Published on 23 May 2019 - 14:17

91

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Solve a system of non-linear equations

Published on 25 Mar 2026 - 14:21

148

Views

Calculate $\int_{-\infty}^\infty{x^2\,dx\over (1+x^2)^2}$

Published on 25 May 2019 - 10:12

177

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Solve the following system of equations - (7).

Published on 26 May 2019 - 6:07

211

Views

Prove $f(x_1, x_2, x_3,x_4) = \frac{x_1}{x_1 x_3+x_2 x_4}$ is convex

Published on 29 May 2019 - 19:53

62

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some rational function that I can't solve?

Published on 31 May 2019 - 5:34

1.8k

Views

Niven’s theorem proof.

Published on 31 May 2019 - 19:20

292

Views

Graphing rational functions (and asymptotes)

Published on 01 Jun 2019 - 6:41

76

Views

graph of $f(x)$ from graph of $(f(x))^2$ for a rational function

Published on 03 Jun 2019 - 4:10

48

Views

Should $x=2$ be included in the solution?

Published on 07 Jun 2019 - 7:00

690

Views

Find all ordered pairs $(x,y)$ that satisfy both $\frac{3x-4y}{xy} = -8$ and $\frac{2x+7y}{xy} = 43$

Published on 25 Mar 2026 - 14:25

80

Views

Approximating a rational function by a rational of exponentials

Published on 25 Mar 2026 - 5:05

61

Views

Equations with 3 unknowns

Published on 26 Mar 2026 - 6:18

List Question

Does there exist a function $f_{\Box,\Box}(\Box)$ making the formula $a + (b \oplus c) = (f_{b,c}(a)+b) \oplus (f_{c,b}(a)+c)$ true?

Dealing with a polynomial sum

Solving $\frac{\alpha^2}{(t_1-x)^2}+\frac{\beta^2}{(t_2-x)^2}=1$

Solve a system of non-linear equations

Calculate $\int_{-\infty}^\infty{x^2\,dx\over (1+x^2)^2}$

Solve the following system of equations - (7).

Prove $f(x_1, x_2, x_3,x_4) = \frac{x_1}{x_1 x_3+x_2 x_4}$ is convex

some rational function that I can't solve?

Niven’s theorem proof.

Graphing rational functions (and asymptotes)

graph of $f(x)$ from graph of $(f(x))^2$ for a rational function

Should $x=2$ be included in the solution?

Find all ordered pairs $(x,y)$ that satisfy both $\frac{3x-4y}{xy} = -8$ and $\frac{2x+7y}{xy} = 43$

Approximating a rational function by a rational of exponentials

Equations with 3 unknowns

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