List questions from multivariable-calculus

Published on 13 Apr 2026 - 20:29

76

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Changing the order of integration for $\int_{-t}^t \int_{z-a}^z \int_z^{y+a} f(x,y,z) d x d y d z$

Published on 15 Apr 2026 - 0:39

673

Views

Differential of a multilinear function

Published on 13 Apr 2026 - 17:57

64

Views

Classifying degenerate point using Taylor polynomial.

Published on 12 Apr 2026 - 22:38

173

Views

Smooth function vanishing on axis

Published on 12 Apr 2026 - 21:56

1.4k

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How to find local extrema when Hessian is $0$?

Published on 10 Apr 2026 - 15:24

172

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Showing a Critical Point is Isolated

Published on 13 Apr 2026 - 17:53

65

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Can you square a function of three variables?

Published on 10 Apr 2026 - 16:37

1.5k

Views

Calculating total derivative from partial derivatives

Published on 14 Apr 2026 - 9:33

162

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(Another) Multivariable delta-epsilon proof

Published on 14 Apr 2026 - 11:53

2.2k

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Let $I = [0 , 1]$; let $Q = I \times I$. Define $f: Q \to \mathbb{R}$ by letting $f(x , y) = 1 /q$ if y is rational and $x = p/q$

Published on 25 Mar 2026 - 17:44

61

Views

Show that: $ \int_{1}^{3}\int_{0}^{x-1} f_{x}(x,y)dydx = -\frac{4}{3}$

Published on 25 Mar 2026 - 1:40

2.7k

Views

Understanding the concept of $(X^TX)^{-1}X^Ty$

Published on 14 Apr 2026 - 9:00

1.4k

Views

Multivariate Faà di Bruno's formula

Published on 09 Apr 2026 - 1:40

1.7k

Views

Help with explanation of change of variables (wave equation)

Published on 09 Apr 2026 - 2:25

List Question

Logic for If and only if proof

Changing the order of integration for $\int_{-t}^t \int_{z-a}^z \int_z^{y+a} f(x,y,z) d x d y d z$

Differential of a multilinear function

Classifying degenerate point using Taylor polynomial.

Smooth function vanishing on axis

How to find local extrema when Hessian is $0$?

Showing a Critical Point is Isolated

Can you square a function of three variables?

Calculating total derivative from partial derivatives

(Another) Multivariable delta-epsilon proof

Let $I = [0 , 1]$; let $Q = I \times I$. Define $f: Q \to \mathbb{R}$ by letting $f(x , y) = 1 /q$ if y is rational and $x = p/q$

Show that: $ \int_{1}^{3}\int_{0}^{x-1} f_{x}(x,y)dydx = -\frac{4}{3}$

Understanding the concept of $(X^TX)^{-1}X^Ty$

Multivariate Faà di Bruno's formula

Help with explanation of change of variables (wave equation)

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