List questions from multivariable-calculus

Published on 12 Apr 2026 - 4:19

65

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If $f:\Bbb{R}^{+}\to\Bbb{R}^n,\;t\mapsto f(t)=\Vert x(t)\Vert^2,$ then $f$ is differentiable

Published on 04 May 2026 - 22:05

269

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Prove $\nabla \cdot f=0$ knowing $\int_{R^3}f \cdot \nabla \phi\ dxdydz=0$ for $\phi$ with compact support

Published on 15 Apr 2026 - 18:57

96

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If $x\mapsto f(x)=x\Vert x\Vert$, then $f$ is locally Lipschitz

Published on 17 Apr 2026 - 2:20

759

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Continuity at a point for function of two variables

Published on 11 Apr 2026 - 22:58

300

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How to show a real valued function of several variables is analytic?

Published on 17 Apr 2026 - 13:42

1k

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Multivariable epsilon delta limit $f(x,y) = 3x + 4y $ as $(x,y) \to (1,2)$

Published on 13 Apr 2026 - 17:52

100

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If $t\mapsto \rho(t)=e^{(1-t)A}\cdot e^{tB},$ then $e^{A}-e^{B}=\int^{t}_{0}e^{(1-t)A}(A-B)e^{tB}dt$

Published on 16 Apr 2026 - 18:27

110

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A cornucopia of confusion on limits?

Published on 11 Apr 2026 - 10:39

1.3k

Views

Are all constant fields conservative?

Published on 11 Apr 2026 - 0:33

290

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Mean value theorem for vector laplacian

Published on 15 Apr 2026 - 2:00

742

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Proof of the fundamental theorem of line integrals

Published on 09 Apr 2026 - 0:13

343

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Surface area of an Elliptic Paraboloid (under plane)

Published on 14 Apr 2026 - 0:17

65

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The convenient approach to a calculus problem in two variables

Published on 09 Apr 2026 - 18:17

1.2k

Views

Prove that the directional derivative is the dot product of the gradient and the vector.

Published on 17 Apr 2026 - 9:50

List Question

How to determine continuity at origin for given 2 variable function

If $f:\Bbb{R}^{+}\to\Bbb{R}^n,\;t\mapsto f(t)=\Vert x(t)\Vert^2,$ then $f$ is differentiable

Prove $\nabla \cdot f=0$ knowing $\int_{R^3}f \cdot \nabla \phi\ dxdydz=0$ for $\phi$ with compact support

If $x\mapsto f(x)=x\Vert x\Vert$, then $f$ is locally Lipschitz

Continuity at a point for function of two variables

How to show a real valued function of several variables is analytic?

Multivariable epsilon delta limit $f(x,y) = 3x + 4y $ as $(x,y) \to (1,2)$

If $t\mapsto \rho(t)=e^{(1-t)A}\cdot e^{tB},$ then $e^{A}-e^{B}=\int^{t}_{0}e^{(1-t)A}(A-B)e^{tB}dt$

A cornucopia of confusion on limits?

Are all constant fields conservative?

Mean value theorem for vector laplacian

Proof of the fundamental theorem of line integrals

Surface area of an Elliptic Paraboloid (under plane)

The convenient approach to a calculus problem in two variables

Prove that the directional derivative is the dot product of the gradient and the vector.

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