List questions from multivariable-calculus

Published on 17 Apr 2026 - 8:07

32

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is there a path in the complex plane such that z^z is not equal to 1 as z->0?

Published on 10 Apr 2026 - 23:17

74

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Deducing $\;\frac{{\partial}^2 f}{\partial x_i \partial x_j}=0\;\forall i\neq j\;$

Published on 14 Apr 2026 - 19:40

1.3k

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L2 norm of a function w.r.t. its gradient

Published on 15 Apr 2026 - 23:43

39

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For the surface given below, find the tangent plane at point P and the normal line at P

Published on 15 Apr 2026 - 0:53

474

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Does the curve $(t^2, t^5)$ have a tangent at the origin?

Published on 16 Apr 2026 - 2:10

243

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The triangle in the $(x,y)$ plane bounded by the lines $y=x, ~y=-x$ and $y=2$

Published on 16 Apr 2026 - 10:02

145

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How does $\iint_{\mathbf{ℝ^2}}\frac{x}{1+x^2+y^2}dxdy$ diverge?

Published on 15 Apr 2026 - 10:36

1.4k

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(higher order) gradient of vector valued functions

Published on 25 Mar 2026 - 7:30

536

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Second variation corresponding to the functional

Published on 09 Apr 2026 - 7:23

111

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Finding double integral in terms of $\alpha$

Published on 10 Apr 2026 - 20:58

274

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Expressing a triple integral in cylindrical coordinates in different orders of integration

Published on 07 Apr 2026 - 8:47

59

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Lagrange Multiplier Question to find extrema

Published on 10 Apr 2026 - 20:31

78

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Points on the surface $x y^3 z^2=16$ that are closest to origin

Published on 15 Apr 2026 - 23:12

59

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how to show that $\Delta [\frac{c- |x-a|^2}{|x-b|^n}] = 2n|x-b|^{-n-2}(c-|a-b|^2), \; x \neq b$

Published on 15 Apr 2026 - 14:37

List Question

Prove that the following function $f(X)=XX^{t}$ is differentiable

is there a path in the complex plane such that z^z is not equal to 1 as z->0?

Deducing $\;\frac{{\partial}^2 f}{\partial x_i \partial x_j}=0\;\forall i\neq j\;$

L2 norm of a function w.r.t. its gradient

For the surface given below, find the tangent plane at point P and the normal line at P

Does the curve $(t^2, t^5)$ have a tangent at the origin?

The triangle in the $(x,y)$ plane bounded by the lines $y=x, ~y=-x$ and $y=2$

How does $\iint_{\mathbf{ℝ^2}}\frac{x}{1+x^2+y^2}dxdy$ diverge?

(higher order) gradient of vector valued functions

Second variation corresponding to the functional

Finding double integral in terms of $\alpha$

Expressing a triple integral in cylindrical coordinates in different orders of integration

Lagrange Multiplier Question to find extrema

Points on the surface $x y^3 z^2=16$ that are closest to origin

how to show that $\Delta [\frac{c- |x-a|^2}{|x-b|^n}] = 2n|x-b|^{-n-2}(c-|a-b|^2), \; x \neq b$

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