List questions from multivariable-calculus

Published on 01 Apr 2026 - 17:12

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Limit at origin of function of two variables

Published on 14 Apr 2026 - 6:53

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Prove that $0$ is locally exponentially stable for the following non-autonomuous system

Published on 05 May 2026 - 2:23

47

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Estimation in multivariate normal

Published on 11 Apr 2026 - 4:19

957

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Calculation of flux through sphere when the vector field is not defined at the origin

Published on 12 Apr 2026 - 4:51

359

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Double integral of a piecewise function with a condition

Published on 15 Apr 2026 - 20:54

198

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Prove that $f(x,y)=1- \sqrt{|xy|}$ is not differentiable at $(0,0)$

Published on 16 Apr 2026 - 12:12

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Prove that the dimension of the solution space of a second order homogenous ODE is 2

Published on 05 May 2026 - 2:23

499

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Solving a double integral with infinite bounds with a set of rules on a function with two variables

Published on 13 Apr 2026 - 18:00

266

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When The curvature is maximum of $x^\frac{1}{2}+y^\frac{1}{2}=a^\frac{1}{2}$

Published on 15 Apr 2026 - 19:13

47

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Apply the Implicit Function Theorem?

Published on 01 Apr 2026 - 10:47

143

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Show that $\int^1_0 \int^{1-x}_0e^\frac{y}{x+y}dy\,dx=\frac{e-1}{2}$

Published on 16 Apr 2026 - 6:43

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cross section for y=1

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The level surface of the function $f(x,y,z) = (x^2+y^2)^{-1/2}$ are...

Published on 15 Apr 2026 - 19:53

109

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Taylor Series Expansion explanation

Published on 12 Apr 2026 - 13:53

List Question

Lagrangian Mechanics & Derivatives

Limit at origin of function of two variables

Prove that $0$ is locally exponentially stable for the following non-autonomuous system

Estimation in multivariate normal

Calculation of flux through sphere when the vector field is not defined at the origin

Double integral of a piecewise function with a condition

Prove that $f(x,y)=1- \sqrt{|xy|}$ is not differentiable at $(0,0)$

Prove that the dimension of the solution space of a second order homogenous ODE is 2

Solving a double integral with infinite bounds with a set of rules on a function with two variables

When The curvature is maximum of $x^\frac{1}{2}+y^\frac{1}{2}=a^\frac{1}{2}$

Apply the Implicit Function Theorem?

Show that $\int^1_0 \int^{1-x}_0e^\frac{y}{x+y}dy\,dx=\frac{e-1}{2}$

cross section for y=1

The level surface of the function $f(x,y,z) = (x^2+y^2)^{-1/2}$ are...

Taylor Series Expansion explanation

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