Question

The curve $x^3-y^3=1$ is asymptotic t the line $x=y$. Find the point n the curve farthest from the line $x=y$.

score 1.5k · Answer 1 · 2026-04-17 12:35:53

1.5k

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score 283 · Answer 2 · 2026-04-12 04:19:21

283

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score 408 · Answer 3 · 2026-04-11 14:04:56

408

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score 478 · Answer 4 · 2026-04-13 01:44:39

478

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307

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score 243 · Answer 6 · 2026-04-10 20:42:02

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score 154 · Answer 7 · 2026-04-29 08:42:13

154

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score 562 · Answer 8 · 2026-04-13 23:48:53

562

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score 122 · Answer 9 · 2026-04-16 02:26:21

122

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score 5.8k · Answer 10 · 2026-04-15 00:27:43

5.8k

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score 230 · Answer 11 · 2026-04-13 13:34:36

230

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score 328 · Answer 12 · 2026-04-28 12:32:11

328

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score 222 · Answer 13 · 2026-04-14 01:52:52

222

Views

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score 92 · Answer 14 · 2026-04-15 01:27:02

92

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score 86 · Answer 15 · 2026-04-15 11:14:27

86

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List Question

The curve $x^3-y^3=1$ is asymptotic t the line $x=y$. Find the point n the curve farthest from the line $x=y$.

Density of primes in a polynomial

How to prove $\omega$ bound without using limit?

How to bound the tail of p-series

Weyl's law, meaning of the asymptotic formula, does it imply a bound?

Method of stationary phase for double integrals

Prove $\lim_{n \to \infty}$ $(1+\frac xn-o(\frac 1n))^n=e^x$

Multiplication of two asymptotic expansions

$f(x)\sim 1/x \implies (1+f(x))^x\to e$, but what family of functions maximizes the speed of convergence from below?

Asymptotic expansion of the complete elliptic integral of the first kind

Closed form for $ \prod_{k=1}^n (a+k^2) $

Asymptotic form of the integral $\int_{0}^{\infty} dx ~ \sqrt{x^2 + wx} ~ e^{-ixs}$ for $s \to \infty$

How do I show that as $z \to \infty$ that $\int_0^\infty \frac{t - \lfloor t \rfloor - 1/2}{z + t} dt = O(z^{-1} )$??

Can we give a bound on any associative function?

On finding the order of an infinitely small quantity

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