Question

Find the complex Fourier series of the $2\pi$ periodic function $f(x)=x^2$ and determine the function which the Fourier series converges to.

score 793 · Answer 1 · 2026-05-14 05:18:48

793

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Find the complex Fourier series of the $2\pi$ periodic function $f(x)=x^2$ and determine the function which the Fourier series converges to.

Published on 14 May 2026 - 5:18

score 7.4k · Answer 2 · 2026-05-10 16:05:59

7.4k

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How do I find where the graph of parametric equations crosses itself?

Published on 10 May 2026 - 16:05

score 342 · Answer 3 · 2026-04-14 14:40:10

342

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Calculating the largest possible area of a rectangle inscribed in an ellipse

Published on 14 Apr 2026 - 14:40

score 61 · Answer 4 · 2026-04-14 00:32:21

61

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Calculus- Definite Integrals

Published on 14 Apr 2026 - 0:32

score 121 · Answer 5 · 2026-04-13 20:27:02

121

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Convergence of sum of $\sum_{n=1}^\infty \frac{\ln n}{n^{2p}}$

Published on 13 Apr 2026 - 20:27

score 60 · Answer 6 · 2026-05-10 17:55:47

60

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Implicit function theorem usage

Published on 10 May 2026 - 17:55

score 719 · Answer 7 · 2026-05-10 19:41:57

719

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Find an equation of the curve $y=f(x)$

Published on 10 May 2026 - 19:41

score 64 · Answer 8 · 2026-04-24 14:31:44

64

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Write an equation for a line

Published on 24 Apr 2026 - 14:31

score 52 · Answer 9 · 2026-04-12 12:14:43

52

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Orthogonality of $c(t)_{c(t)}$ and a tangent vector

Published on 12 Apr 2026 - 12:14

score 480 · Answer 10 · 2026-04-14 19:21:42

480

Views

Show that $ f^2 − g^2 = C $ for some real constant C

Published on 14 Apr 2026 - 19:21

score 194 · Answer 11 · 2026-04-12 01:18:53

194

Views

Spivak's definition of tangent vectors

Published on 12 Apr 2026 - 1:18

score 66 · Answer 12 · 2026-04-15 13:25:05

66

Views

If $f(x) = \cos x$ for all $x \in (0,\pi/2)$

Published on 15 Apr 2026 - 13:25

score 60 · Answer 13 · 2026-04-15 10:18:55

60

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Prove that $f(x) = 3-\cos(x)$ for all $x\in [0,\pi]$

Published on 15 Apr 2026 - 10:18

score 42 · Answer 14 · 2026-04-15 07:17:08

42

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What is the radius of the convergence of $\sum_{1}^{\infty} n^{3} \cdot x^{n}$?

Published on 15 Apr 2026 - 7:17

score 46 · Answer 15 · 2026-05-10 14:04:47

46

Views

Given data that shows total amount per given time, what does the integral mean?

Published on 10 May 2026 - 14:04

List Question

Find the complex Fourier series of the $2\pi$ periodic function $f(x)=x^2$ and determine the function which the Fourier series converges to.

How do I find where the graph of parametric equations crosses itself?

Calculating the largest possible area of a rectangle inscribed in an ellipse

Calculus- Definite Integrals

Convergence of sum of $\sum_{n=1}^\infty \frac{\ln n}{n^{2p}}$

Implicit function theorem usage

Find an equation of the curve $y=f(x)$

Write an equation for a line

Orthogonality of $c(t)_{c(t)}$ and a tangent vector

Show that $ f^2 − g^2 = C $ for some real constant C

Spivak's definition of tangent vectors

If $f(x) = \cos x$ for all $x \in (0,\pi/2)$

Prove that $f(x) = 3-\cos(x)$ for all $x\in [0,\pi]$

What is the radius of the convergence of $\sum_{1}^{\infty} n^{3} \cdot x^{n}$?

Given data that shows total amount per given time, what does the integral mean?

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