List questions from multivariable-calculus

Published on 15 Apr 2026 - 11:57

69

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Verify divergence theorem (Integral Boundaries)

Published on 15 Apr 2026 - 0:12

1.8k

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How to find the average value of $f(x,y)$ on $R=\{(x,y): -1\le x\le1,0\le y\le3\}$

Published on 17 Apr 2026 - 3:13

122

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Differentiability of a multi variable function.

Published on 18 Apr 2026 - 16:27

49

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Prove that $\phi:= f \cdot g: S \to \mathbb{R}$ is differentiable at $a$

Published on 06 May 2026 - 7:58

33

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Find the follow derivatives: $\frac{dz}{ds}$ and $\frac{dz}{dt}$, where $z = sin(2x+y)$, $x = s^2 - t^2$, and $y = s^2 + t^2$

Published on 15 Apr 2026 - 19:56

3.7k

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Find the unit vector given the directional derivative

Published on 14 Apr 2026 - 17:16

135

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Find the derivative (a) $\frac{\partial w}{\partial s}$, where $w = \frac{x-z}{y+z}$, $x =s + t$, $y = st$ and $z = s - t$

Published on 16 Apr 2026 - 11:58

154

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Evaluating the Surface Integral on a Sphere for a scalar function (integral is involved in PDE)

Published on 11 May 2026 - 5:19

37

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technical question in Partial differential equation

Published on 08 Apr 2026 - 23:03

107

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Function approximations in higher dimensions

Published on 11 Apr 2026 - 7:38

423

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Limits of integration for triple integrals

Published on 11 May 2026 - 2:18

67

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Proving that $\frac{D(a,b,c)}{D(x,y,z)}=1$

Published on 11 May 2026 - 3:06

416

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Lagrange Multiplier do not make sense

Published on 14 Apr 2026 - 13:53

494

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Find $\int_C F.dr $ where C is the smooth curve joining $(1,0,0) $ to $(0,0,2)$.

Published on 10 May 2026 - 17:20

List Question

Local maxima/minima of a Multivariable function

Verify divergence theorem (Integral Boundaries)

How to find the average value of $f(x,y)$ on $R=\{(x,y): -1\le x\le1,0\le y\le3\}$

Differentiability of a multi variable function.

Prove that $\phi:= f \cdot g: S \to \mathbb{R}$ is differentiable at $a$

Find the follow derivatives: $\frac{dz}{ds}$ and $\frac{dz}{dt}$, where $z = sin(2x+y)$, $x = s^2 - t^2$, and $y = s^2 + t^2$

Find the unit vector given the directional derivative

Find the derivative (a) $\frac{\partial w}{\partial s}$, where $w = \frac{x-z}{y+z}$, $x =s + t$, $y = st$ and $z = s - t$

Evaluating the Surface Integral on a Sphere for a scalar function (integral is involved in PDE)

technical question in Partial differential equation

Function approximations in higher dimensions

Limits of integration for triple integrals

Proving that $\frac{D(a,b,c)}{D(x,y,z)}=1$

Lagrange Multiplier do not make sense

Find $\int_C F.dr $ where C is the smooth curve joining $(1,0,0) $ to $(0,0,2)$.

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