Question

Maximum of $\sqrt{\frac{1}{4}\cdot \sin^2(t)+\sin^2(t+\frac{\pi}{3})}$

score 75 · Answer 1 · 2026-04-17 00:20:22

75

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Maximum of $\sqrt{\frac{1}{4}\cdot \sin^2(t)+\sin^2(t+\frac{\pi}{3})}$

Published on 17 Apr 2026 - 0:20

score 57 · Answer 2 · 2026-04-12 18:48:01

57

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Prove a function is periodic if it satisfies certain criteria

Published on 12 Apr 2026 - 18:48

score 934 · Answer 3 · 2026-05-10 12:45:14

934

Views

Polar Coordinates Differential

Published on 10 May 2026 - 12:45

score 103 · Answer 4 · 2026-04-17 03:03:01

103

Views

Given $f(x+T) = f(x) + a$, prove that $f(x) = \varphi(x) + {a \over T}x$, where $\varphi(x)$ is periodic with period $T$

Published on 17 Apr 2026 - 3:03

score 71 · Answer 5 · 2026-04-17 05:24:57

71

Views

Prove that $f(x) = \varphi (x) + P_{n+1}(x)$ given $f(x+T) = f(x) + Q_n(x)$ where $\varphi (x)$ is periodic with period $T$.

Published on 17 Apr 2026 - 5:24

score 4.7k · Answer 6 · 2026-04-14 08:30:49

4.7k

Views

How to calculate the intersection points of two cosine (or sine) functions?

Published on 14 Apr 2026 - 8:30

score 67 · Answer 7 · 2026-04-18 03:59:24

67

Views

Calculate the period of the motion of P

Published on 18 Apr 2026 - 3:59

score 2.7k · Answer 8 · 2026-04-12 00:47:36

2.7k

Views

Proving that a sequence is periodic

Published on 12 Apr 2026 - 0:47

score 210 · Answer 9 · 2026-04-17 06:16:06

210

Views

Distance between two elements in periodic sequence

Published on 17 Apr 2026 - 6:16

score 107 · Answer 10 · 2026-04-17 10:37:23

107

Views

Given that $f(x^2+x+1)=f(x^2-x+1)$ for all $x$, is $f(x)$ periodic?

Published on 17 Apr 2026 - 10:37

score 52 · Answer 11 · 2026-04-13 00:55:37

52

Views

Definition $2\pi$ periodic functions

Published on 13 Apr 2026 - 0:55

score 155 · Answer 12 · 2026-04-16 18:59:07

155

Views

Find a period if $f(x+k)=1+(2-5f(x)+10f(x)^2-10f(x)^3+5f(x)^4-f(x)^5)^{\frac{1}{5}}$

Published on 16 Apr 2026 - 18:59

score 492 · Answer 13 · 2026-04-10 11:56:03

492

Views

Prob. 14, Sec. 5.4, in Bartle & Sherbert's INTRO TO REAL ANALYSIS: Every continuous periodic function is bounded and uniformly continuous

Published on 10 Apr 2026 - 11:56

score 2k · Answer 14 · 2026-04-12 22:40:26

2k

Views

Fourier Series of $\sin^2(x)$

Published on 12 Apr 2026 - 22:40

score 33 · Answer 15 · 2026-04-14 20:04:40

33

Views

Search a smooth periodic function based on critical values and derivatives

Published on 14 Apr 2026 - 20:04

List Question

Maximum of $\sqrt{\frac{1}{4}\cdot \sin^2(t)+\sin^2(t+\frac{\pi}{3})}$

Prove a function is periodic if it satisfies certain criteria

Polar Coordinates Differential

Given $f(x+T) = f(x) + a$, prove that $f(x) = \varphi(x) + {a \over T}x$, where $\varphi(x)$ is periodic with period $T$

Prove that $f(x) = \varphi (x) + P_{n+1}(x)$ given $f(x+T) = f(x) + Q_n(x)$ where $\varphi (x)$ is periodic with period $T$.

How to calculate the intersection points of two cosine (or sine) functions?

Calculate the period of the motion of P

Proving that a sequence is periodic

Distance between two elements in periodic sequence

Given that $f(x^2+x+1)=f(x^2-x+1)$ for all $x$, is $f(x)$ periodic?

Definition $2\pi$ periodic functions

Find a period if $f(x+k)=1+(2-5f(x)+10f(x)^2-10f(x)^3+5f(x)^4-f(x)^5)^{\frac{1}{5}}$

Prob. 14, Sec. 5.4, in Bartle & Sherbert's INTRO TO REAL ANALYSIS: Every continuous periodic function is bounded and uniformly continuous

Fourier Series of $\sin^2(x)$

Search a smooth periodic function based on critical values and derivatives

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