List questions from multivariable-calculus

Published on 14 Apr 2026 - 21:09

185

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Justification for notation of line integrals

Published on 12 Apr 2026 - 1:06

477

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How to express the given disk $D$ in polar coordinates.

Published on 12 Apr 2026 - 16:30

2.1k

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Why exactly limit in polar coordinates isn't sufficient to find the limit in two variables?

Published on 14 Apr 2026 - 10:20

2.5k

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How to evaluate the integrals in the cylindrical coordinates

Published on 10 May 2026 - 21:19

58

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Computing $DF_{|_f}$ of $F(f)(x)=\int^{x}_{0}\cos\big(f^2(t)\big)dt,\text{ } x\in [0,1].$

Published on 17 Apr 2026 - 7:37

397

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A necessary condition for differentiability in multivariable calculus

Published on 10 Apr 2026 - 8:38

228

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Find the maximum value of $ \int_{0}^{y}\sqrt{x^{4}+(y-y^{2})^{2}}dx$

Published on 16 Apr 2026 - 12:13

307

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$\min f(x)=\frac{1}{2}x^t Bx + c^t x$ subject to $Ax=b, x\ge 0$ then $f(\overline{x})=\frac{1}{2}(c^t\overline{x}+b^t\overline{\lambda})$

Published on 16 Apr 2026 - 17:03

1.3k

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Gradient of $f(x,y) = x^2 + y^2$ at $(0,0)$

Published on 17 Apr 2026 - 0:48

29

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If $I\propto x,y,z$ how can I express a function $I=f(x,y,z)$?

Published on 13 Apr 2026 - 22:09

101

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Reference book on differential geometry

Published on 16 Apr 2026 - 5:56

139

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Partial derivative of an integral from zero to infinity

Published on 10 Apr 2026 - 21:12

73

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Proving the determinant of the derivative of a function can not be zero on any open set.

Published on 15 Apr 2026 - 18:17

123

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Geometric Picture of z'(x, y(x))

Published on 10 May 2026 - 12:54

List Question

Lipschitz-type estimate for a function of two variables

Justification for notation of line integrals

How to express the given disk $D$ in polar coordinates.

Why exactly limit in polar coordinates isn't sufficient to find the limit in two variables?

How to evaluate the integrals in the cylindrical coordinates

Computing $DF_{|_f}$ of $F(f)(x)=\int^{x}_{0}\cos\big(f^2(t)\big)dt,\text{ } x\in [0,1].$

A necessary condition for differentiability in multivariable calculus

Find the maximum value of $ \int_{0}^{y}\sqrt{x^{4}+(y-y^{2})^{2}}dx$

$\min f(x)=\frac{1}{2}x^t Bx + c^t x$ subject to $Ax=b, x\ge 0$ then $f(\overline{x})=\frac{1}{2}(c^t\overline{x}+b^t\overline{\lambda})$

Gradient of $f(x,y) = x^2 + y^2$ at $(0,0)$

If $I\propto x,y,z$ how can I express a function $I=f(x,y,z)$?

Reference book on differential geometry

Partial derivative of an integral from zero to infinity

Proving the determinant of the derivative of a function can not be zero on any open set.

Geometric Picture of z'(x, y(x))

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