Find any relative extrema of
$y=\mathrm{arcsin}x-x$

Yasmin
2020-10-27
Answered

Find any relative extrema of
$y=\mathrm{arcsin}x-x$

You can still ask an expert for help

comentezq

Answered 2020-10-28
Author has **106** answers

However,

asked 2021-02-25

True or False. The graph of a rational function may intersect a horizontal asymptote.

asked 2022-07-17

Why is $\mathrm{log}(n)\in o(\frac{n}{\mathrm{log}(n)})$?

This would be equal to:

$\mathrm{\forall}c>0:\mathrm{\exists}{n}_{0}\in \mathbb{N}:\mathrm{\forall}n>{n}_{0}:c\mathrm{log}(n)\le \frac{n}{\mathrm{log}(n)}$

For $c=1$ this is obvious, because

$\mathrm{log}(n)\le \sqrt{n}=\frac{n}{\sqrt{n}}\le \frac{n}{\mathrm{log}(n)}$

This estimation doesn't seem to work for $c>1$ though.

Any ideas on how I could prove it for $c>1$?

This would be equal to:

$\mathrm{\forall}c>0:\mathrm{\exists}{n}_{0}\in \mathbb{N}:\mathrm{\forall}n>{n}_{0}:c\mathrm{log}(n)\le \frac{n}{\mathrm{log}(n)}$

For $c=1$ this is obvious, because

$\mathrm{log}(n)\le \sqrt{n}=\frac{n}{\sqrt{n}}\le \frac{n}{\mathrm{log}(n)}$

This estimation doesn't seem to work for $c>1$ though.

Any ideas on how I could prove it for $c>1$?

asked 2021-12-17

Write a polynomial f(x) that meets the given conditions. Answers may vary.

Degree 3 polynomial with zeros 5, 4, and -3

f(x)=

Degree 3 polynomial with zeros 5, 4, and -3

f(x)=

asked 2022-05-15

Help Solving Fraction Math Question

Im stumped by this question on a practice ACT math test:

If $\frac{1}{x}+\frac{1}{y}=\frac{1}{z}$ then $z=$?

The correct answer is $\frac{xy}{x+y}$

How do you arrive at this answer? I don't know how to even begin with this problem.

Im stumped by this question on a practice ACT math test:

If $\frac{1}{x}+\frac{1}{y}=\frac{1}{z}$ then $z=$?

The correct answer is $\frac{xy}{x+y}$

How do you arrive at this answer? I don't know how to even begin with this problem.

asked 2021-11-10

To calculate the expression $3x{({x}^{2}+1)}^{\frac{1}{2}}(2{x}^{2}-x)+2{({x}^{2}+1)}^{\frac{2}{3}}(4x-1)$

asked 2021-11-16

Solve the equation.

$\mathrm{log}\left(57x\right)=2+\mathrm{log}(x-2)$

asked 2022-05-08

log(7000)=3