Question

Evaluate $\iint(x^{2} + y^{2})dx\,dy$ over the area in the first quadrant bounded by the circle $x^2 + y^2 = a^2$.

score 246 · Answer 1 · 2026-03-26 14:23:04

246

Views

Evaluate $\iint(x^{2} + y^{2})dx\,dy$ over the area in the first quadrant bounded by the circle $x^2 + y^2 = a^2$.

Published on 26 Mar 2026 - 14:23

score 82 · Answer 2 · 2022-07-12 04:04:17

82

Views

Spherical coordinates into rectangular coordinates, and then triple integral.

Published on 12 Jul 2022 - 4:04

score 54 · Answer 3 · 2026-03-30 05:30:51

54

Views

Finding $y'(x)$ using the Jacobian Determinant and Implicit Function Theorem

Published on 30 Mar 2026 - 5:30

score 237 · Answer 4 · 2022-07-17 16:22:40

237

Views

Jacobian of operator

Published on 17 Jul 2022 - 16:22

score 89 · Answer 5 · 2022-07-21 10:01:08

89

Views

Derivative of a quadratic-like function of matrix w.r.t matrix

Published on 21 Jul 2022 - 10:01

score 222 · Answer 6 · 2022-07-28 03:15:57

222

Views

Is there a name for $(\det JJ^\top)^{1/2}$ where $J$ is a non-square Jacobian matrix?

Published on 28 Jul 2022 - 3:15

score 316 · Answer 7 · 2022-07-28 20:53:55

316

Views

Geometric intuition about Jacobian of unit normal vector to surface and orthogonal projections

Published on 28 Jul 2022 - 20:53

score 30 · Answer 8 · 2022-07-29 11:15:34

30

Views

Jacobian of function where part of the input is concatenated through another function

Published on 29 Jul 2022 - 11:15

score 163 · Answer 9 · 2022-07-30 00:05:18

163

Views

Immersion from sphere to $ \Bbb{R}^{n +1}$.

Published on 30 Jul 2022 - 0:05

score 112 · Answer 10 · 2022-08-01 17:20:35

112

Views

Marginal pdf of a rotated axis from a joint pdf of two random variables

Published on 01 Aug 2022 - 17:20

score 237 · Answer 11 · 2022-08-03 20:42:52

237

Views

Is it possible to derive the Jacobian from the chain rule for multivariable functions?

Published on 03 Aug 2022 - 20:42

score 62 · Answer 12 · 2022-08-05 10:17:32

62

Views

How to simplify this matrix equation?

Published on 05 Aug 2022 - 10:17

score 767 · Answer 13 · 2026-03-27 16:37:18

767

Views

Why do we need to linearize a non-linear system before we can use it for modeling

Published on 27 Mar 2026 - 16:37

score 48 · Answer 14 · 2026-03-25 06:06:20

48

Views

Measuring the conformality or equal-areaness of a projection from the sphere to some surface embedded in $R^3$

Published on 25 Mar 2026 - 6:06

score 381 · Answer 15 · 2022-08-16 21:08:55

381

Views

Determinant of Jacobian of matrix multiplication

Published on 16 Aug 2022 - 21:08

List Question

Evaluate $\iint(x^{2} + y^{2})dx\,dy$ over the area in the first quadrant bounded by the circle $x^2 + y^2 = a^2$.

Spherical coordinates into rectangular coordinates, and then triple integral.

Finding $y'(x)$ using the Jacobian Determinant and Implicit Function Theorem

Jacobian of operator

Derivative of a quadratic-like function of matrix w.r.t matrix

Is there a name for $(\det JJ^\top)^{1/2}$ where $J$ is a non-square Jacobian matrix?

Geometric intuition about Jacobian of unit normal vector to surface and orthogonal projections

Jacobian of function where part of the input is concatenated through another function

Immersion from sphere to $ \Bbb{R}^{n +1}$.

Marginal pdf of a rotated axis from a joint pdf of two random variables

Is it possible to derive the Jacobian from the chain rule for multivariable functions?

How to simplify this matrix equation?

Why do we need to linearize a non-linear system before we can use it for modeling

Measuring the conformality or equal-areaness of a projection from the sphere to some surface embedded in $R^3$

Determinant of Jacobian of matrix multiplication

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