Question

Why is it the $ x^2 + y^2 -\cos(z) <5 $ is unbounded, but $x^2 + y^2 + z^2 -\cos(z) <5 $ isn't?

score 41 · Answer 1 · 2026-04-17 06:44:49

41

Views

Why is it the $ x^2 + y^2 -\cos(z) <5 $ is unbounded, but $x^2 + y^2 + z^2 -\cos(z) <5 $ isn't?

Published on 17 Apr 2026 - 6:44

score 66 · Answer 2 · 2026-04-13 11:09:52

66

Views

Continuity of $2$ variable function in $R^2$ when one variable function is differentiable.

Published on 13 Apr 2026 - 11:09

score 269 · Answer 3 · 2026-04-10 19:55:09

269

Views

Why does the curl of a function provide this particular amount of information?

Published on 10 Apr 2026 - 19:55

score 389 · Answer 4 · 2026-04-09 02:25:39

389

Views

Higher Order Derivatives and Directional Derivatives Formula

Published on 09 Apr 2026 - 2:25

score 2.1k · Answer 5 · 2026-04-23 14:17:22

2.1k

Views

Concavity/convexity of a two variable function?

Published on 23 Apr 2026 - 14:17

score 177 · Answer 6 · 2026-04-13 16:31:29

177

Views

Differences of indicator functions defined on sets that are "close" to each other

Published on 13 Apr 2026 - 16:31

score 147 · Answer 7 · 2026-04-13 00:33:11

147

Views

Can we tell if a function has a max or min by looking along specific directions?

Published on 13 Apr 2026 - 0:33

score 188 · Answer 8 · 2026-04-16 10:26:26

188

Views

How to compute $\lim\limits_{(x,y)\to(0,0)} \frac{xy^3}{x^2+y^4}$

Published on 16 Apr 2026 - 10:26

score 41 · Answer 9 · 2026-04-11 03:50:18

41

Views

I need help setting up an integral to calculate part of a cylinder below a sphere and above a plane

Published on 11 Apr 2026 - 3:50

score 584 · Answer 10 · 2026-04-13 06:05:57

584

Views

Directional derivative of function with two variables containing a function and its derivative.

Published on 13 Apr 2026 - 6:05

score 216 · Answer 11 · 2026-04-17 06:16:27

216

Views

Prove that if f satisfies $|f(x,y)| \leq x^2 + y^2$ then $f$ is differentiable at $(0,0)$

Published on 17 Apr 2026 - 6:16

score 80 · Answer 12 · 2026-04-13 18:41:03

80

Views

Converting to Polar Coordinates: Newton's equations for a particle moving in a plane under the influence of a coulombic potential

Published on 13 Apr 2026 - 18:41

score 373 · Answer 13 · 2026-04-11 18:37:00

373

Views

Definition of divergence

Published on 11 Apr 2026 - 18:37

score 491 · Answer 14 · 2026-04-16 12:37:34

491

Views

Local extrema of $f(x,y) = \log(2 + \sin(xy))$

Published on 16 Apr 2026 - 12:37

score 283 · Answer 15 · 2026-04-16 15:10:14

283

Views

Finding the gradient of $f(x) := \ln \left( 1 + e^{-ab^Tx} \right)$

Published on 16 Apr 2026 - 15:10

List Question

Why is it the $ x^2 + y^2 -\cos(z) <5 $ is unbounded, but $x^2 + y^2 + z^2 -\cos(z) <5 $ isn't?

Continuity of $2$ variable function in $R^2$ when one variable function is differentiable.

Why does the curl of a function provide this particular amount of information?

Higher Order Derivatives and Directional Derivatives Formula

Concavity/convexity of a two variable function?

Differences of indicator functions defined on sets that are "close" to each other

Can we tell if a function has a max or min by looking along specific directions?

How to compute $\lim\limits_{(x,y)\to(0,0)} \frac{xy^3}{x^2+y^4}$

I need help setting up an integral to calculate part of a cylinder below a sphere and above a plane

Directional derivative of function with two variables containing a function and its derivative.

Prove that if f satisfies $|f(x,y)| \leq x^2 + y^2$ then $f$ is differentiable at $(0,0)$

Converting to Polar Coordinates: Newton's equations for a particle moving in a plane under the influence of a coulombic potential

Definition of divergence

Local extrema of $f(x,y) = \log(2 + \sin(xy))$

Finding the gradient of $f(x) := \ln \left( 1 + e^{-ab^Tx} \right)$

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