Question

Pre-calc optimization of a rational function

score 190 · Answer 1 · 2026-04-10 05:20:48

190

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Pre-calc optimization of a rational function

Published on 10 Apr 2026 - 5:20

score 526 · Answer 2 · 2026-04-14 21:02:17

526

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If $R(z)$ is a rational function of order $n$, how large and how small can the order of $R'(z)$ be?

Published on 14 Apr 2026 - 21:02

score 148 · Answer 3 · 2026-05-07 13:50:29

148

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Solve $x+\frac{1}{y-x}=1$, $y+\frac{1}{x-y}=2$

Published on 07 May 2026 - 13:50

score 102 · Answer 4 · 2026-04-14 03:36:15

I didn't understand the below from sets and functions algebra caltech pdf. The highlight is my problem. What does it mean and why does say X=0?

score 40 · Answer 5 · 2026-04-17 13:38:11

40

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polynomial or rational function example of homoclinic orbit $f:S^3 \to S^3$?

Published on 17 Apr 2026 - 13:38

score 81 · Answer 6 · 2026-04-12 18:49:16

81

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Extrapolating points of a rational function

Published on 12 Apr 2026 - 18:49

score 114 · Answer 7 · 2026-04-15 01:22:31

114

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Calculate definite integral contains exponential and rational function

Published on 15 Apr 2026 - 1:22

score 44 · Answer 8 · 2026-04-16 23:32:48

44

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Showing that $\{1,X\}$ is a basis for $\mathbb{Q}(X)$ as a vector space over $\mathbb{Q}(X^2)$

Published on 16 Apr 2026 - 23:32

score 294 · Answer 9 · 2026-04-08 19:15:21

294

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Complex analysis: Improper integral of a non-even function

Published on 08 Apr 2026 - 19:15

score 961 · Answer 10 · 2026-04-10 21:50:16

961

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Finding the n-th derivative of a rational function

Published on 10 Apr 2026 - 21:50

score 406 · Answer 11 · 2026-05-10 08:31:27

406

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Find distinct real numbers satisfying $\frac{xy}{x-y} = \frac{1}{30}$ and $\frac{x^2y^2}{x^2+y^2} = \frac{1}{2018}$

Published on 10 May 2026 - 8:31

score 1.1k · Answer 12 · 2026-04-11 13:35:57

1.1k

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Can a rational function have an infinite number of dicontinuity points?

Published on 11 Apr 2026 - 13:35

score 843 · Answer 13 · 2026-04-14 09:33:17

843

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Verify my proof of divisibility of a rational fraction

Published on 14 Apr 2026 - 9:33

score 51 · Answer 14 · 2026-04-16 11:17:11

51

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Given $f^3(x)+xf(x)+x^3=0$ prove that $-x^2<f(x)<0$ and more

Published on 16 Apr 2026 - 11:17

score 1k · Answer 15 · 2026-04-12 07:00:03

1k

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Rational word problem: comparing two rational functions

Published on 12 Apr 2026 - 7:00

List Question

Pre-calc optimization of a rational function

If $R(z)$ is a rational function of order $n$, how large and how small can the order of $R'(z)$ be?

Solve $x+\frac{1}{y-x}=1$, $y+\frac{1}{x-y}=2$

I didn't understand the below from sets and functions algebra caltech pdf. The highlight is my problem. What does it mean and why does say X=0?

polynomial or rational function example of homoclinic orbit $f:S^3 \to S^3$?

Extrapolating points of a rational function

Calculate definite integral contains exponential and rational function

Showing that $\{1,X\}$ is a basis for $\mathbb{Q}(X)$ as a vector space over $\mathbb{Q}(X^2)$

Complex analysis: Improper integral of a non-even function

Finding the n-th derivative of a rational function

Find distinct real numbers satisfying $\frac{xy}{x-y} = \frac{1}{30}$ and $\frac{x^2y^2}{x^2+y^2} = \frac{1}{2018}$

Can a rational function have an infinite number of dicontinuity points?

Verify my proof of divisibility of a rational fraction

Given $f^3(x)+xf(x)+x^3=0$ prove that $-x^2<f(x)<0$ and more

Rational word problem: comparing two rational functions

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