Question

summation of infinite terms contradiction

score 60 · Answer 1 · 2022-05-17 15:08:13

60

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summation of infinite terms contradiction

Published on 17 May 2022 - 15:08

score 101 · Answer 2 · 2022-05-18 18:45:15

101

Views

Multiplying by $1$ adds a solution to an equation

Published on 18 May 2022 - 18:45

score 61 · Answer 3 · 2022-05-24 19:47:00

61

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Find the value of $\tan ^{-1}(\frac 12 \tan 2A)+\tan^{-1} ( \cot A) +\tan ^{-1}(\cot ^3 A)$

Published on 24 May 2022 - 19:47

score 242 · Answer 4 · 2022-05-25 05:45:52

242

Views

How to show that $f(x)=\frac{\arcsin x}x$ is increasing when $x\ge0$?

Published on 25 May 2022 - 5:45

score 70 · Answer 5 · 2022-05-25 15:48:21

70

Views

If $\arcsin(x^2+y^2)+\arctan(4y^2-1)+\operatorname{arcsec}(x)=a$ then $a$ belongs to

Published on 25 May 2022 - 15:48

score 65 · Answer 6 · 2022-05-25 18:45:51

65

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Let $\phi : G\to G'$ be a homomorphism and let $S'\subseteq G'$. Is $\phi^{-1}(\langle S'\rangle ) = \langle \phi^{-1}(S')\rangle$?

Published on 25 May 2022 - 18:45

score 91 · Answer 7 · 2022-05-26 18:13:16

91

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Number of solution of equation $16 \sin^3x=14+(\sin x+7)^{\frac{1}{3}}$ in $[0,4\pi]$.

Published on 26 May 2022 - 18:13

score 133 · Answer 8 · 2022-05-26 18:38:53

133

Views

Number of solutions of equation $\tan^{-1}(2\sin x)=\cot^{-1}(\cos x)\;$ in $[0,10\pi]$.

Published on 26 May 2022 - 18:38

score 33 · Answer 9 · 2022-05-27 13:32:58

33

Views

Notation regarding inverse function

Published on 27 May 2022 - 13:32

score 63 · Answer 10 · 2022-05-28 22:56:21

63

Views

About norm and inverse operator $Af(x)=\int\limits_{0}^{x}f(t)dt$

Published on 28 May 2022 - 22:56

score 350 · Answer 11 · 2022-05-30 20:01:23

350

Views

How does one prove or verify that a function is invertible?

Published on 30 May 2022 - 20:01

score 27 · Answer 12 · 2022-06-01 06:01:28

When finding the inverse of $f(x)=\frac{x}{1-x^2}$ on $(-1,1)$, how to interpret solution $y = \frac{-1 - \sqrt{1+4x^2}}{2x}<-\frac{1}{x}$?

score 50 · Answer 13 · 2022-06-01 15:33:11

50

Views

Right inverses vs left inverse of a complex function

Published on 01 Jun 2022 - 15:33

score 305 · Answer 14 · 2022-06-01 16:58:44

305

Views

Let $f : [a,b] \rightarrow \mathbb{R}$ be one-to-one and differentiable with $f'(x) \neq 0$ for all $x \in [a,b]$. Show $f^{-1}$ is differentiable.

Published on 01 Jun 2022 - 16:58

score 105 · Answer 15 · 2022-06-01 18:47:04

105

Views

How do we find the inverse of $f(x)=x^3+x$?

Published on 01 Jun 2022 - 18:47

List Question

summation of infinite terms contradiction

Multiplying by $1$ adds a solution to an equation

Find the value of $\tan ^{-1}(\frac 12 \tan 2A)+\tan^{-1} ( \cot A) +\tan ^{-1}(\cot ^3 A)$

How to show that $f(x)=\frac{\arcsin x}x$ is increasing when $x\ge0$?

If $\arcsin(x^2+y^2)+\arctan(4y^2-1)+\operatorname{arcsec}(x)=a$ then $a$ belongs to

Let $\phi : G\to G'$ be a homomorphism and let $S'\subseteq G'$. Is $\phi^{-1}(\langle S'\rangle ) = \langle \phi^{-1}(S')\rangle$?

Number of solution of equation $16 \sin^3x=14+(\sin x+7)^{\frac{1}{3}}$ in $[0,4\pi]$.

Number of solutions of equation $\tan^{-1}(2\sin x)=\cot^{-1}(\cos x)\;$ in $[0,10\pi]$.

Notation regarding inverse function

About norm and inverse operator $Af(x)=\int\limits_{0}^{x}f(t)dt$

How does one prove or verify that a function is invertible?

When finding the inverse of $f(x)=\frac{x}{1-x^2}$ on $(-1,1)$, how to interpret solution $y = \frac{-1 - \sqrt{1+4x^2}}{2x}<-\frac{1}{x}$?

Right inverses vs left inverse of a complex function

Let $f : [a,b] \rightarrow \mathbb{R}$ be one-to-one and differentiable with $f'(x) \neq 0$ for all $x \in [a,b]$. Show $f^{-1}$ is differentiable.

How do we find the inverse of $f(x)=x^3+x$?

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