Question

In spherical coordinates for the region $x^2+y^2+z^2\geq1$, $x^2+y^2=z^2\leq4$, $z\geq\sqrt{x^2+y^2}$, why does $\psi$ range from $0$ to $\pi/2$?

score 947 · Answer 1 · 2026-03-29 05:58:39

947

Views

In spherical coordinates for the region $x^2+y^2+z^2\geq1$, $x^2+y^2=z^2\leq4$, $z\geq\sqrt{x^2+y^2}$, why does $\psi$ range from $0$ to $\pi/2$?

Published on 29 Mar 2026 - 5:58

score 59 · Answer 2 · 2020-09-11 22:30:40

59

Views

Volume of a solid with Triple Integral

Published on 11 Sep 2020 - 22:30

score 63 · Answer 3 · 2020-09-12 01:15:21

63

Views

Find the double-integral $\iint_{D} x\sqrt{4x^2+xy}$ on $D=\lbrace (x,y) \in \mathbb{R^2}|x=a\cos(t),y=a\sin(2t) \rbrace$ and $x \geq 0$

Published on 12 Sep 2020 - 1:15

score 35 · Answer 4 · 2020-09-12 16:35:01

35

Views

Help understand this differentiation of double integral

Published on 12 Sep 2020 - 16:35

score 102 · Answer 5 · 2020-09-14 20:57:15

102

Views

Calculating $\iint_{D} x \sqrt{4x^2 +xy}\, dy\,dx$

Published on 14 Sep 2020 - 20:57

score 43 · Answer 6 · 2020-09-14 22:09:15

43

Views

Double Integration Change of Variables

Published on 14 Sep 2020 - 22:09

score 610 · Answer 7 · 2026-03-29 06:04:38

610

Views

Area double integral over a semicircle domain

Published on 29 Mar 2026 - 6:04

score 87 · Answer 8 · 2020-09-16 14:54:51

87

Views

Double Integration for Ellipse $\frac {x^2}{4} + \frac {y^2}{36} =1 $

Published on 16 Sep 2020 - 14:54

score 83 · Answer 9 · 2020-09-16 15:37:55

83

Views

Prove that$|\int_{D}f(x)dx|\leq\int_{D}|f(x)|dx$.

Published on 16 Sep 2020 - 15:37

score 28 · Answer 10 · 2020-09-16 23:19:44

28

Views

Change of Variables:Why are the new variables set perpendicular to each other?

Published on 16 Sep 2020 - 23:19

score 83 · Answer 11 · 2020-09-17 06:22:14

83

Views

Finding a constant without integration of joint pdf

Published on 17 Sep 2020 - 6:22

score 52 · Answer 12 · 2020-09-18 07:10:15

52

Views

Find $\iint_{D} y^{3}\,dx\,dy$

Published on 18 Sep 2020 - 7:10

score 367 · Answer 13 · 2020-09-18 10:26:56

367

Views

Asymptotic bound for $\int_0^\infty \int_0^\infty (x+y)^m e^{-\frac{x^2}{2i} - \frac{y^2}{2j}} dx\, dy\;$ for $i$ and $j$ large

Published on 18 Sep 2020 - 10:26

score 59 · Answer 14 · 2026-03-22 10:43:31

59

Views

Area of $A:= \lbrace (x,y) \in \mathbb{R}^2 : x^2+(e^x +y)^2\leq1 \rbrace$

Published on 22 Mar 2026 - 10:43

score 225 · Answer 15 · 2020-09-23 16:26:54

225

Views

How to prove $\int_{0}^{1} \int_{0}^{1} \int_{0}^{1} \frac{dx dy dz}{1-xyz}=\zeta(3)$

Published on 23 Sep 2020 - 16:26

List Question

In spherical coordinates for the region $x^2+y^2+z^2\geq1$, $x^2+y^2=z^2\leq4$, $z\geq\sqrt{x^2+y^2}$, why does $\psi$ range from $0$ to $\pi/2$?

Volume of a solid with Triple Integral

Find the double-integral $\iint_{D} x\sqrt{4x^2+xy}$ on $D=\lbrace (x,y) \in \mathbb{R^2}|x=a\cos(t),y=a\sin(2t) \rbrace$ and $x \geq 0$

Help understand this differentiation of double integral

Calculating $\iint_{D} x \sqrt{4x^2 +xy}\, dy\,dx$

Double Integration Change of Variables

Area double integral over a semicircle domain

Double Integration for Ellipse $\frac {x^2}{4} + \frac {y^2}{36} =1 $

Prove that$|\int_{D}f(x)dx|\leq\int_{D}|f(x)|dx$.

Change of Variables:Why are the new variables set perpendicular to each other?

Finding a constant without integration of joint pdf

Find $\iint_{D} y^{3}\,dx\,dy$

Asymptotic bound for $\int_0^\infty \int_0^\infty (x+y)^m e^{-\frac{x^2}{2i} - \frac{y^2}{2j}} dx\, dy\;$ for $i$ and $j$ large

Area of $A:= \lbrace (x,y) \in \mathbb{R}^2 : x^2+(e^x +y)^2\leq1 \rbrace$

How to prove $\int_{0}^{1} \int_{0}^{1} \int_{0}^{1} \frac{dx dy dz}{1-xyz}=\zeta(3)$

Trending Questions

Popular # Hahtags

Popular Questions