Question

Let $x_1,..., x_k$ be vectors in $\mathbb{R}^n$. Show that $V(x_1 , ... ,\lambda x_i, ... ,x_k) = |\lambda|V(x_1, ... ,x_k)$

score 41 · Answer 1 · 2026-04-16 18:37:13

41

Views

Let $x_1,..., x_k$ be vectors in $\mathbb{R}^n$. Show that $V(x_1 , ... ,\lambda x_i, ... ,x_k) = |\lambda|V(x_1, ... ,x_k)$

Published on 16 Apr 2026 - 18:37

score 39 · Answer 2 · 2026-04-11 10:02:07

39

Views

Correct definition of differentiability for several variable

Published on 11 Apr 2026 - 10:02

score 218 · Answer 3 · 2026-04-11 23:18:39

218

Views

Relation between line integral of scalar function and surface integral

Published on 11 Apr 2026 - 23:18

score 35 · Answer 4 · 2026-03-25 06:12:00

35

Views

How to find the del of spherical vector field?

Published on 25 Mar 2026 - 6:12

score 36 · Answer 5 · 2026-04-12 21:48:33

36

Views

Cross product simplifying

Published on 12 Apr 2026 - 21:48

score 47 · Answer 6 · 2026-04-19 04:08:24

47

Views

Integral over set given by $x^2+y^2 \le 1, \frac {1}{\sqrt{3}} \le \frac{y}{x} \le \sqrt 3, z \le 1$

Published on 19 Apr 2026 - 4:08

score 45 · Answer 7 · 2026-04-14 03:19:03

45

Views

Counterexample to equivalence of definitions of differentiability

Published on 14 Apr 2026 - 3:19

score 198 · Answer 8 · 2026-04-17 04:05:33

198

Views

If $I = \int_{-\infty}^\infty(xu - 3tu^2)\mathrm{d}x$, show that $\frac{\mathrm{d}I}{\mathrm{d}t} = 0$.

Published on 17 Apr 2026 - 4:05

score 121 · Answer 9 · 2026-04-11 05:58:33

121

Views

How to find the differential of a function of two variables going from Δf to df?

Published on 11 Apr 2026 - 5:58

score 46 · Answer 10 · 2026-04-15 06:07:15

46

Views

Show that $f$ is differentiable at the origin.

Published on 15 Apr 2026 - 6:07

score 156 · Answer 11 · 2026-04-11 16:04:23

156

Views

Volume of solid enclosed by quadratic surface

Published on 11 Apr 2026 - 16:04

score 1.4k · Answer 12 · 2026-04-15 03:55:20

1.4k

Views

Arc length of the cardioid

Published on 15 Apr 2026 - 3:55

score 59 · Answer 13 · 2026-04-16 03:38:29

59

Views

Calculate $\int_{1}^{4}\int_{0}^{2}e^{x^2}\sin[(y-1)^3]\,dy\,dx$

Published on 16 Apr 2026 - 3:38

score 42 · Answer 14 · 2026-04-14 06:57:49

42

Views

Lowest and highest value in an interval of multivariable function

Published on 14 Apr 2026 - 6:57

score 38 · Answer 15 · 2026-04-10 22:48:21

38

Views

Integral question calculus cylinders

Published on 10 Apr 2026 - 22:48

List Question

Let $x_1,..., x_k$ be vectors in $\mathbb{R}^n$. Show that $V(x_1 , ... ,\lambda x_i, ... ,x_k) = |\lambda|V(x_1, ... ,x_k)$

Correct definition of differentiability for several variable

Relation between line integral of scalar function and surface integral

How to find the del of spherical vector field?

Cross product simplifying

Integral over set given by $x^2+y^2 \le 1, \frac {1}{\sqrt{3}} \le \frac{y}{x} \le \sqrt 3, z \le 1$

Counterexample to equivalence of definitions of differentiability

If $I = \int_{-\infty}^\infty(xu - 3tu^2)\mathrm{d}x$, show that $\frac{\mathrm{d}I}{\mathrm{d}t} = 0$.

How to find the differential of a function of two variables going from Δf to df?

Show that $f$ is differentiable at the origin.

Volume of solid enclosed by quadratic surface

Arc length of the cardioid

Calculate $\int_{1}^{4}\int_{0}^{2}e^{x^2}\sin[(y-1)^3]\,dy\,dx$

Lowest and highest value in an interval of multivariable function

Integral question calculus cylinders

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