Question

Proof that $a^{\tan x} + a^{\cot x} \leq 2a$ where $\frac{1}{2} \leq a \leq 1$ and $0 \leq x \leq \frac{\pi}{4}$

score 1k · Answer 1 · 2026-04-15 18:52:22

1k

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Proof that $a^{\tan x} + a^{\cot x} \leq 2a$ where $\frac{1}{2} \leq a \leq 1$ and $0 \leq x \leq \frac{\pi}{4}$

Published on 15 Apr 2026 - 18:52

score 82 · Answer 2 · 2026-04-13 20:42:11

82

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Number $ e $ formula significance

Published on 13 Apr 2026 - 20:42

score 669 · Answer 3 · 2026-04-14 09:02:07

669

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prove that the equation is concave up and find minimum value of y

Published on 14 Apr 2026 - 9:02

score 290 · Answer 4 · 2026-04-10 20:32:04

290

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Solving an equation where the unknown appears in under the exponent and as a constant

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score 30 · Answer 5 · 2026-04-14 23:57:53

30

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Must $f' = \Omega(f)$, if $f = \Omega(e^n)$?

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score 388 · Answer 6 · 2026-04-09 18:20:15

388

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score 101 · Answer 7 · 2026-04-13 20:45:09

101

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score 92 · Answer 8 · 2026-04-16 11:54:03

92

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Am I able to solve $xe^x<1$?

Published on 16 Apr 2026 - 11:54

score 324 · Answer 9 · 2026-04-16 20:05:29

324

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For $\{a,b\}\subset(0,1]$ prove that $a^{b-a}+b^{a-b}+(a-b)^2\leq2$

Published on 16 Apr 2026 - 20:05

score 293 · Answer 10 · 2026-04-16 19:15:50

293

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Gaussian integral variant $\int_{-\infty}^\infty \frac{e^{-x^2}}{1+a e^{-x}} dx$

Published on 16 Apr 2026 - 19:15

score 212 · Answer 11 · 2026-04-12 22:06:14

212

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Solving definite integral for conditional probability

Published on 12 Apr 2026 - 22:06

score 82 · Answer 12 · 2026-04-16 03:22:38

82

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Solve: $\ln x = e^x-e^1$ for $x$

Published on 16 Apr 2026 - 3:22

score 96 · Answer 13 · 2026-04-17 10:22:30

96

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Proving that $e^x = 1+O(x)$ as $x \to 0$.

Published on 17 Apr 2026 - 10:22

score 2.2k · Answer 14 · 2026-04-15 14:33:34

2.2k

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How to find the horizontal asymptotic of the logistic function $C/1+Ae^-{bx}$ using limits

Published on 15 Apr 2026 - 14:33

score 84 · Answer 15 · 2026-04-15 04:51:25

84

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Published on 15 Apr 2026 - 4:51

List Question

Proof that $a^{\tan x} + a^{\cot x} \leq 2a$ where $\frac{1}{2} \leq a \leq 1$ and $0 \leq x \leq \frac{\pi}{4}$

Number $ e $ formula significance

prove that the equation is concave up and find minimum value of y

Solving an equation where the unknown appears in under the exponent and as a constant

Must $f' = \Omega(f)$, if $f = \Omega(e^n)$?

Cumulative formula of series

Solving a special case exponential function

Am I able to solve $xe^x<1$?

For $\{a,b\}\subset(0,1]$ prove that $a^{b-a}+b^{a-b}+(a-b)^2\leq2$

Gaussian integral variant $\int_{-\infty}^\infty \frac{e^{-x^2}}{1+a e^{-x}} dx$

Solving definite integral for conditional probability

Solve: $\ln x = e^x-e^1$ for $x$

Proving that $e^x = 1+O(x)$ as $x \to 0$.

How to find the horizontal asymptotic of the logistic function $C/1+Ae^-{bx}$ using limits

Proving limit relations with the exponential function

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