Question

Setting up the triple integrals for a solid given by $y + x = 4$ and $16 - 4z^2 = y^2$?

score 74 · Answer 1 · 2026-04-16 04:07:00

74

Views

Setting up the triple integrals for a solid given by $y + x = 4$ and $16 - 4z^2 = y^2$?

Published on 16 Apr 2026 - 4:07

score 147 · Answer 2 · 2026-05-10 18:06:13

147

Views

Finding lipschitz bound for $F(x_1,\ldots,x_n) = (\tanh(x_1),\dots,\tanh(x_n))$

Published on 10 May 2026 - 18:06

score 959 · Answer 3 · 2026-04-12 15:18:59

959

Views

Can you use matrices to solve simultaneous equations with powers?

Published on 12 Apr 2026 - 15:18

score 38 · Answer 4 · 2026-04-16 23:15:45

38

Views

Proof that $D_{\vec{u}}f(\vec{x}) = \nabla f(\vec{x}) \cdot \vec{u}$

Published on 16 Apr 2026 - 23:15

score 56 · Answer 5 · 2026-04-11 20:25:51

56

Views

Integral of two variables

Published on 11 Apr 2026 - 20:25

score 126 · Answer 6 · 2026-04-14 00:36:38

126

Views

Proving $f(x,y,z)=\big(\frac{x}{a+x+y+z}, \frac{y}{a+x+y+z}, \frac{z}{a+x+y+z} \big)$ is injective

Published on 14 Apr 2026 - 0:36

score 89 · Answer 7 · 2026-04-13 22:28:21

89

Views

Finding Global Inverse of $ f(x,y,z)= \left( \frac{x}{a+x+y+z}, \frac{y}{a+x+y+z}, \frac{z}{a+x+y+z} \right).$

Published on 13 Apr 2026 - 22:28

score 46 · Answer 8 · 2026-04-16 00:06:07

46

Views

How can I show that $\lim_{\rho \to 0}\int_{\partial B_{\rho}} u_x dy - u_ydx = 0$?

Published on 16 Apr 2026 - 0:06

score 80 · Answer 9 · 2026-04-10 21:48:00

80

Views

Simplifing a Double Integral

Published on 10 Apr 2026 - 21:48

score 56 · Answer 10 · 2026-05-10 12:55:10

56

Views

Differentiabilty of $f(x,y)=\sqrt[3]{\lvert x^2-(y+1)^2 \lvert}\sin(\lvert x+y+1 \lvert))$ at $(0,-1)$ , $(1,0)$ and $(-1,0)$

Published on 10 May 2026 - 12:55

score 72 · Answer 11 · 2026-05-13 18:29:13

72

Views

Derviation of the gradient for $E(f_\vec{w}) = (X\vec{w} - \vec{y})^{T}\cdot (X\vec{w} - \vec{y})$.

Published on 13 May 2026 - 18:29

score 2.4k · Answer 12 · 2026-05-15 04:13:20

2.4k

Views

Solving a double integration $ \int_{0}^1\int_0^{\sqrt{2y-y^2}}\ dxdy$ using polar coordinates

Published on 15 May 2026 - 4:13

score 72 · Answer 13 · 2026-05-11 04:57:15

72

Views

Finding an example path in a conservative vector field

Published on 11 May 2026 - 4:57

score 40 · Answer 14 · 2026-05-10 14:03:48

40

Views

question about triple integral with spherical coordinates

Published on 10 May 2026 - 14:03

score 212 · Answer 15 · 2026-05-10 15:11:27

212

Views

Using Fubini's theorem in proving a function is integrable.

Published on 10 May 2026 - 15:11

List Question

Setting up the triple integrals for a solid given by $y + x = 4$ and $16 - 4z^2 = y^2$?

Finding lipschitz bound for $F(x_1,\ldots,x_n) = (\tanh(x_1),\dots,\tanh(x_n))$

Can you use matrices to solve simultaneous equations with powers?

Proof that $D_{\vec{u}}f(\vec{x}) = \nabla f(\vec{x}) \cdot \vec{u}$

Integral of two variables

Proving $f(x,y,z)=\big(\frac{x}{a+x+y+z}, \frac{y}{a+x+y+z}, \frac{z}{a+x+y+z} \big)$ is injective

Finding Global Inverse of $ f(x,y,z)= \left( \frac{x}{a+x+y+z}, \frac{y}{a+x+y+z}, \frac{z}{a+x+y+z} \right).$

How can I show that $\lim_{\rho \to 0}\int_{\partial B_{\rho}} u_x dy - u_ydx = 0$?

Simplifing a Double Integral

Differentiabilty of $f(x,y)=\sqrt[3]{\lvert x^2-(y+1)^2 \lvert}\sin(\lvert x+y+1 \lvert))$ at $(0,-1)$ , $(1,0)$ and $(-1,0)$

Derviation of the gradient for $E(f_\vec{w}) = (X\vec{w} - \vec{y})^{T}\cdot (X\vec{w} - \vec{y})$.

Solving a double integration $ \int_{0}^1\int_0^{\sqrt{2y-y^2}}\ dxdy$ using polar coordinates

Finding an example path in a conservative vector field

question about triple integral with spherical coordinates

Using Fubini's theorem in proving a function is integrable.

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