List questions from multivariable-calculus

Published on 18 Apr 2026 - 4:03

513

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Definition of double integral in $\epsilon - \delta$ terms.

Published on 12 Apr 2026 - 0:24

78

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Evaluate $\int_{\Gamma}xy^2dx+xydy$ on $\Gamma={y=x^2}$

Published on 15 Apr 2026 - 19:35

63

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Find surface area of $z=x+3$ with $x^2+y^2\leq 1$

Published on 17 Apr 2026 - 22:55

68

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Evaluate Integral Using Stokes Theorem

Published on 15 Apr 2026 - 13:13

44

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Prove: $\lim_{\varepsilon\to 0}\int_{S(x_0,\varepsilon)}u(x)\operatorname{grad}(\varphi(x))\cdot N\,ds=u(x_0)$

Published on 17 Apr 2026 - 3:42

323

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Understanding some definitions of smooth manifolds and the inverse function theorem

Published on 09 Apr 2026 - 9:35

734

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Complete proof about the limits of a multivariable function

Published on 09 Apr 2026 - 1:56

336

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Positive-Eigenvalue Jacobian $\Rightarrow$ Invertible?

Published on 11 Apr 2026 - 15:08

667

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Implicit function theorem problem from Munkres Analysis on Manifolds text

Published on 22 Apr 2026 - 21:03

102

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what is the difference between $D(g\circ f)(x)$ and $Dg(f(x))$?

Published on 13 Apr 2026 - 22:36

220

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Given point and normal vector find the derivative of a function

Published on 15 Apr 2026 - 1:47

81

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Gradient orientation

Published on 16 Apr 2026 - 19:17

127

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Finding $\iint_D\frac{x^2-y^2}{\sqrt{x^2+y^2}}\,\mathrm dx\mathrm dy$ where $D=\{(x,y)\in\mathbb{R}^2:\ 0\leq y\leq x\,,xy\leq 1\leq x+y-1\}$

Published on 17 Apr 2026 - 7:58

83

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Efficient and stable estimation of restricted weighted multivariate regression model

Published on 11 Apr 2026 - 15:23

List Question

Evaluate $\int_m(\nabla \times F)\cdot NdS$

Definition of double integral in $\epsilon - \delta$ terms.

Evaluate $\int_{\Gamma}xy^2dx+xydy$ on $\Gamma={y=x^2}$

Find surface area of $z=x+3$ with $x^2+y^2\leq 1$

Evaluate Integral Using Stokes Theorem

Prove: $\lim_{\varepsilon\to 0}\int_{S(x_0,\varepsilon)}u(x)\operatorname{grad}(\varphi(x))\cdot N\,ds=u(x_0)$

Understanding some definitions of smooth manifolds and the inverse function theorem

Complete proof about the limits of a multivariable function

Positive-Eigenvalue Jacobian $\Rightarrow$ Invertible?

Implicit function theorem problem from Munkres Analysis on Manifolds text

what is the difference between $D(g\circ f)(x)$ and $Dg(f(x))$?

Given point and normal vector find the derivative of a function

Gradient orientation

Finding $\iint_D\frac{x^2-y^2}{\sqrt{x^2+y^2}}\,\mathrm dx\mathrm dy$ where $D=\{(x,y)\in\mathbb{R}^2:\ 0\leq y\leq x\,,xy\leq 1\leq x+y-1\}$

Efficient and stable estimation of restricted weighted multivariate regression model

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