Question

Why do we take $\sqrt{f^2(x)} = f(x)$ when integrating by substitution?

score 201 · Answer 1 · 2026-04-04 14:16:48

201

Views

Why do we take $\sqrt{f^2(x)} = f(x)$ when integrating by substitution?

Published on 04 Apr 2026 - 14:16

score 44 · Answer 2 · 2022-05-17 11:40:31

44

Views

Maximizing $f(x)=\frac{1}{1+\left|x\right|}+\frac{1}{1+\left|x-1\right|}$

Published on 17 May 2022 - 11:40

score 41 · Answer 3 · 2022-05-18 11:11:49

41

Views

If $|28 - x^2| < |3x|$ ,then what is the product of all possible integer values of $x$?

Published on 18 May 2022 - 11:11

score 106 · Answer 4 · 2022-05-20 00:53:47

106

Views

If $|x|+|y|>|x+z|$, then is $y > z, y<z$, or $y=z$, or not determinable?

Published on 20 May 2022 - 0:53

score 80 · Answer 5 · 2026-04-07 16:19:02

80

Views

Show that if $0 < \frac{1}{j},\frac{1}{k} \leq \frac{1}{N} \leq 1$, then $|\frac{1}{j}-\frac{1}{k}| \leq \frac{1}{N}$. ($j,k,N \in \mathbb{N}^+$))

Published on 07 Apr 2026 - 16:19

score 127 · Answer 6 · 2026-04-11 06:37:25

127

Views

Squaring complex number equation with absolute values

Published on 11 Apr 2026 - 6:37

score 67 · Answer 7 · 2026-04-03 06:14:28

67

Views

Why is $\pm\sqrt{(11y-8)^2} = \pm(11y-8)$? - Analytic Geometry

Published on 03 Apr 2026 - 6:14

score 59 · Answer 8 · 2022-06-01 12:22:45

59

Views

Verifying the existence of a derivative of an absolute value function at x = 0.

Published on 01 Jun 2022 - 12:22

score 400 · Answer 9 · 2022-06-05 18:25:21

400

Views

Integral of f(|x|)

Published on 05 Jun 2022 - 18:25

score 317 · Answer 10 · 2022-06-10 01:25:10

317

Views

Maximization in l1 norm

Published on 10 Jun 2022 - 1:25

score 132 · Answer 11 · 2022-06-10 15:04:08

132

Views

Constant $A$: $|e^{(2m+1)\pi e^{i\theta}}-1| \geq A > 0$ for all $m\in \mathbb{N}_{>0}$, $\theta \in [0, 2\pi)$

Published on 10 Jun 2022 - 15:04

score 149 · Answer 12 · 2026-04-10 17:02:46

149

Views

Proof $ f(x,y) = |x| + |y| $ has local minimum at $(0,0)$

Published on 10 Apr 2026 - 17:02

score 139 · Answer 13 · 2026-04-10 16:07:30

139

Views

I not understanding a cancellation step in Spivak proof.

Published on 10 Apr 2026 - 16:07

score 126 · Answer 14 · 2022-06-14 08:26:21

126

Views

Under what conditions is $\vert x-y \vert = \vert x \vert -\vert y \vert$?

Published on 14 Jun 2022 - 8:26

score 52 · Answer 15 · 2022-06-16 16:57:21

52

Views

Solving $|2^{x+1}-1|+|2^{x+1}+1|=2^{|x+1|}$. How do we work on absolute value of a power?

Published on 16 Jun 2022 - 16:57

List Question

Why do we take $\sqrt{f^2(x)} = f(x)$ when integrating by substitution?

Maximizing $f(x)=\frac{1}{1+\left|x\right|}+\frac{1}{1+\left|x-1\right|}$

If $|28 - x^2| < |3x|$ ,then what is the product of all possible integer values of $x$?

If $|x|+|y|>|x+z|$, then is $y > z, y<z$, or $y=z$, or not determinable?

Show that if $0 < \frac{1}{j},\frac{1}{k} \leq \frac{1}{N} \leq 1$, then $|\frac{1}{j}-\frac{1}{k}| \leq \frac{1}{N}$. ($j,k,N \in \mathbb{N}^+$))

Squaring complex number equation with absolute values

Why is $\pm\sqrt{(11y-8)^2} = \pm(11y-8)$? - Analytic Geometry

Verifying the existence of a derivative of an absolute value function at x = 0.

Integral of f(|x|)

Maximization in l1 norm

Constant $A$: $|e^{(2m+1)\pi e^{i\theta}}-1| \geq A > 0$ for all $m\in \mathbb{N}_{>0}$, $\theta \in [0, 2\pi)$

Proof $ f(x,y) = |x| + |y| $ has local minimum at $(0,0)$

I not understanding a cancellation step in Spivak proof.

Under what conditions is $\vert x-y \vert = \vert x \vert -\vert y \vert$?

Solving $|2^{x+1}-1|+|2^{x+1}+1|=2^{|x+1|}$. How do we work on absolute value of a power?

Trending Questions

Popular # Hahtags

Popular Questions