List questions from multivariable-calculus

Published on 11 Apr 2026 - 1:28

138

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How is directional derivative at a point on a multi-variable function the projection of the gradient vector at that point?

Published on 16 Apr 2026 - 13:45

171

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Find the stationary points of w = $ −3x^2 − 4xy − y^2− 12y + 16x $ which reside at 1st quadrant

Published on 17 Apr 2026 - 7:57

199

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uniform bound of gradient

Published on 16 Apr 2026 - 6:15

786

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Pedal form to polar form of an ellipse

Published on 15 Apr 2026 - 11:19

119

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Evaluating $\int_0^\infty\int_0^\infty e^{-(x+y)}\cdot \sin(\frac{\pi\cdot y}{x+y}) \, dy \, dx$

Published on 15 Apr 2026 - 16:08

87

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How to show that $|\nabla f|\ge \sqrt 2$?

Published on 29 Apr 2026 - 10:30

69

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Integration by Transformation to Polar Coordinates

Published on 09 Apr 2026 - 11:53

135

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Ratio limit of volumes

Published on 26 Apr 2026 - 2:48

101

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Prove the function is continuous in $\Bbb R^2$ \ {(0,0)}

Published on 10 Apr 2026 - 13:29

1.4k

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Domains for which the divergence theorem holds

Published on 25 Mar 2026 - 6:01

56

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Properties of a weighted maximal function $\sup_{r>0}\frac{1}{[m(B_r(x))]^\alpha}\int_{B_r(x)} f(y) dy$

Published on 13 Apr 2026 - 16:52

57

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Are the new limits of this triple integral fine $\iiint_E\, (x^2 + y^2 + z^2)\, dx\, dy\, dz$?

Published on 16 Apr 2026 - 2:34

203

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Exercise about differential forms

Published on 15 Apr 2026 - 8:09

1.6k

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Fubini's theorem and the Gaussian Integral

Published on 11 Apr 2026 - 20:44

List Question

Finding limit of multivariable function.

How is directional derivative at a point on a multi-variable function the projection of the gradient vector at that point?

Find the stationary points of w = $ −3x^2 − 4xy − y^2− 12y + 16x $ which reside at 1st quadrant

uniform bound of gradient

Pedal form to polar form of an ellipse

Evaluating $\int_0^\infty\int_0^\infty e^{-(x+y)}\cdot \sin(\frac{\pi\cdot y}{x+y}) \, dy \, dx$

How to show that $|\nabla f|\ge \sqrt 2$?

Integration by Transformation to Polar Coordinates

Ratio limit of volumes

Prove the function is continuous in $\Bbb R^2$ \ {(0,0)}

Domains for which the divergence theorem holds

Properties of a weighted maximal function $\sup_{r>0}\frac{1}{[m(B_r(x))]^\alpha}\int_{B_r(x)} f(y) dy$

Are the new limits of this triple integral fine $\iiint_E\, (x^2 + y^2 + z^2)\, dx\, dy\, dz$?

Exercise about differential forms

Fubini's theorem and the Gaussian Integral

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