List questions from multivariable-calculus

Published on 12 Apr 2026 - 15:20

339

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Why do we compute normal vector for computing projection?

Published on 25 Apr 2026 - 23:53

109

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Weaker condition for path independence of $\int_{\gamma } f$ on disconnected open subset

Published on 13 Apr 2026 - 3:22

209

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If f is differentiable in a region $G$, then f is infinitely differentiable in G, and all partials of $f$ are continuous

Published on 15 Apr 2026 - 2:19

3.9k

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Domain of multivariable function

Published on 11 Apr 2026 - 18:50

134

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Bounding $(x^n-y^n)/(x-y)$?

Published on 17 Apr 2026 - 5:13

70

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Finding center of a solid

Published on 13 Apr 2026 - 12:11

237

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Triangle inequality for integrals, but for an arbitrary norm

Published on 09 Apr 2026 - 23:57

142

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$f:\mathbb{R}^4 \to \mathbb{R}$ is a Constant when $Xf = Yf = 0$ for Vector Fields $X,Y$

Published on 15 Apr 2026 - 13:22

158

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Uniqueness of the maximum of a multi-dimensional function

Published on 11 Apr 2026 - 23:53

112

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How important is the assumption $\gamma$ is positively oriented? (Residues, Cauchy's Thm from Cauchy's Integral Formula)

Published on 12 Apr 2026 - 13:53

366

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Understanding this very generic divergence theorem where the open set have border $C^k$

Published on 17 Apr 2026 - 13:07

58

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question regarding Inverse function theorem

Published on 12 Apr 2026 - 20:17

1.1k

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Deriving the Taylor expansion $f(x+p) = f(x) + \nabla f(x+tp)^Tp$

Published on 14 Apr 2026 - 17:33

63

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Find the maximum of $f(x, y) = (3x+4y)e^{\frac{-(x^2+y^2)}{2}}$ as a function of $r$ over a closed disk $x^2+y^2\leq r^2.$

Published on 16 Apr 2026 - 5:37

List Question

Function where for which any change in xy-plane implies change in z

Why do we compute normal vector for computing projection?

Weaker condition for path independence of $\int_{\gamma } f$ on disconnected open subset

If f is differentiable in a region $G$, then f is infinitely differentiable in G, and all partials of $f$ are continuous

Domain of multivariable function

Bounding $(x^n-y^n)/(x-y)$?

Finding center of a solid

Triangle inequality for integrals, but for an arbitrary norm

$f:\mathbb{R}^4 \to \mathbb{R}$ is a Constant when $Xf = Yf = 0$ for Vector Fields $X,Y$

Uniqueness of the maximum of a multi-dimensional function

How important is the assumption $\gamma$ is positively oriented? (Residues, Cauchy's Thm from Cauchy's Integral Formula)

Understanding this very generic divergence theorem where the open set have border $C^k$

question regarding Inverse function theorem

Deriving the Taylor expansion $f(x+p) = f(x) + \nabla f(x+tp)^Tp$

Find the maximum of $f(x, y) = (3x+4y)e^{\frac{-(x^2+y^2)}{2}}$ as a function of $r$ over a closed disk $x^2+y^2\leq r^2.$

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