Question

Find an inverse of a parametrization

score 743 · Answer 1 · 2026-04-15 04:21:10

743

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Find an inverse of a parametrization

Published on 15 Apr 2026 - 4:21

score 4.2k · Answer 2 · 2026-04-16 16:59:36

4.2k

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Let $R$ be the region bounded by $x+y=1, x=0, y=0$. Show $\iint \cos\frac{x-y}{x+y}\, dx\,dy=\frac{\sin1}{2}$ over the region $R.$

Published on 16 Apr 2026 - 16:59

score 153 · Answer 3 · 2026-04-12 15:13:20

153

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Finding points for which a differential map is not surjective

Published on 12 Apr 2026 - 15:13

score 35 · Answer 4 · 2026-04-16 11:10:31

35

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Proving differentiability of $f$ from bound

Published on 16 Apr 2026 - 11:10

score 172 · Answer 5 · 2026-04-09 11:47:03

172

Views

How to perform constraint optimization with undefined parameters in WolframAlpha?

Published on 09 Apr 2026 - 11:47

score 45 · Answer 6 · 2026-04-18 14:01:34

45

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Find $\frac{d}{dx} \left( \lVert u - M^{-1}(x)u\rVert_2^2 \right)$, where $M(x) = \left(B + xA \right)$ and $M^H(x) = M(x)$

Published on 18 Apr 2026 - 14:01

score 234 · Answer 7 · 2026-04-16 04:52:36

234

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Geometric interpretation of planes, gradients, normal vectors

Published on 16 Apr 2026 - 4:52

score 823 · Answer 8 · 2026-04-16 14:44:29

823

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Compute $\frac{d}{dx} \left\{ u^H M^{-1}(x) \ A \ M^{-1}(x) \ u\right\} $, where $M(x) = \left(B + xA \right) ; \ M^H(x) = M(x)$

Published on 16 Apr 2026 - 14:44

score 257 · Answer 9 · 2026-04-14 22:19:19

257

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Evaluating a surface integral $\iint A.dS$where $A=y\hat i+2x\hat j-z\hat k$

Published on 14 Apr 2026 - 22:19

score 135 · Answer 10 · 2026-04-11 16:33:22

135

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Solve definite double integral

Published on 11 Apr 2026 - 16:33

score 96 · Answer 11 · 2026-04-19 11:27:34

96

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$\nabla\int_{S_1(0)} f(|x|w)d\sigma(w) = \int_{S_1(0)} \nabla f(|x|w)d\sigma(w)$

Published on 19 Apr 2026 - 11:27

score 42 · Answer 12 · 2026-04-16 04:32:35

42

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If $v = v(r)$ and $r^2 = \sum_{i=1}^{n} x_i^2$, then prove $\sum v_{x_i x_i} = v_r ((n-1)/r) + v_{rr}$

Published on 16 Apr 2026 - 4:32

score 2.9k · Answer 13 · 2026-04-14 15:22:31

2.9k

Views

Find $\frac{\partial z}{\partial x}$ if $xy+yz+zx = 1$

Published on 14 Apr 2026 - 15:22

score 80 · Answer 14 · 2026-04-09 07:46:41

80

Views

Multivariable equation for a hessian matrix

Published on 09 Apr 2026 - 7:46

score 1k · Answer 15 · 2026-04-16 04:41:23

1k

Views

Find the volume bounded above the sphere $r=2a\cos\theta$ and below the cone $\phi=\alpha$, where $0<\alpha<\frac{\pi}{2}$

Published on 16 Apr 2026 - 4:41

List Question

Find an inverse of a parametrization

Let $R$ be the region bounded by $x+y=1, x=0, y=0$. Show $\iint \cos\frac{x-y}{x+y}\, dx\,dy=\frac{\sin1}{2}$ over the region $R.$

Finding points for which a differential map is not surjective

Proving differentiability of $f$ from bound

How to perform constraint optimization with undefined parameters in WolframAlpha?

Find $\frac{d}{dx} \left( \lVert u - M^{-1}(x)u\rVert_2^2 \right)$, where $M(x) = \left(B + xA \right)$ and $M^H(x) = M(x)$

Geometric interpretation of planes, gradients, normal vectors

Compute $\frac{d}{dx} \left\{ u^H M^{-1}(x) \ A \ M^{-1}(x) \ u\right\} $, where $M(x) = \left(B + xA \right) ; \ M^H(x) = M(x)$

Evaluating a surface integral $\iint A.dS$where $A=y\hat i+2x\hat j-z\hat k$

Solve definite double integral

$\nabla\int_{S_1(0)} f(|x|w)d\sigma(w) = \int_{S_1(0)} \nabla f(|x|w)d\sigma(w)$

If $v = v(r)$ and $r^2 = \sum_{i=1}^{n} x_i^2$, then prove $\sum v_{x_i x_i} = v_r ((n-1)/r) + v_{rr}$

Find $\frac{\partial z}{\partial x}$ if $xy+yz+zx = 1$

Multivariable equation for a hessian matrix

Find the volume bounded above the sphere $r=2a\cos\theta$ and below the cone $\phi=\alpha$, where $0<\alpha<\frac{\pi}{2}$

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