Question

Find the points that are closest and farthest from $(0,0)$ on the curve $3x^2-2xy+2y^2=5$

score 246 · Answer 1 · 2026-04-08 23:01:44

246

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Find the points that are closest and farthest from $(0,0)$ on the curve $3x^2-2xy+2y^2=5$

Published on 08 Apr 2026 - 23:01

score 90 · Answer 2 · 2026-03-24 23:58:03

90

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Let $F : \mathbb{R}^2 \to \mathbb{R}$ be defined by the equation $F(x, y) = f(x, y, g(x, y))$. (a) Find $DF$ in terms of the partials of $f$ and $g$.

Published on 24 Mar 2026 - 23:58

score 68 · Answer 3 · 2026-04-09 04:14:40

68

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Function satisfying $(Df(x)h,h) \geq \alpha(h,h), \forall x,h \in \mathbb{R}^n$ has an inverse around every point?

Published on 09 Apr 2026 - 4:14

score 472 · Answer 4 · 2026-04-08 21:52:09

472

Views

Does this Riemann integral over $[0,1]^2$ exist?

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score 751 · Answer 5 · 2026-03-24 23:44:24

751

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score 1.5k · Answer 6 · 2026-03-27 17:50:23

1.5k

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score 69 · Answer 7 · 2026-03-25 17:45:18

69

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score 142 · Answer 8 · 2026-04-09 00:04:27

142

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score 102 · Answer 9 · 2026-03-21 18:38:20

102

Views

Is $f(x,y)= \frac{x^3y^2-2y^4}{\sqrt{2x^2+y^4}}$ for $(x,y)\neq (0,0)$, $f(0,0)=0$, defining a differentiable function?

Published on 21 Mar 2026 - 18:38

score 58 · Answer 10 · 2026-04-01 09:57:01

58

Views

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Published on 01 Apr 2026 - 9:57

score 3.5k · Answer 11 · 2026-04-09 00:02:08

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score 158 · Answer 12 · 2026-04-06 15:43:25

158

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Is $f(x,y) = \frac{xy}{(x^2 + y^2)^{\frac{1}{3}}}$ differentiable at $(0,0)$?

Published on 06 Apr 2026 - 15:43

score 450 · Answer 13 · 2026-03-24 23:58:04

450

Views

Show that the directional derivatives of $f$ and $g$ exist everywhere, but that there is a $u \neq 0$ for which $h'(0,u)$ does not

Published on 24 Mar 2026 - 23:58

score 2.3k · Answer 14 · 2026-03-28 02:02:23

2.3k

Views

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Published on 28 Mar 2026 - 2:02

score 791 · Answer 15 · 2026-04-01 10:51:03

791

Views

Finding a point between two planes.

Published on 01 Apr 2026 - 10:51

List Question

Find the points that are closest and farthest from $(0,0)$ on the curve $3x^2-2xy+2y^2=5$

Let $F : \mathbb{R}^2 \to \mathbb{R}$ be defined by the equation $F(x, y) = f(x, y, g(x, y))$. (a) Find $DF$ in terms of the partials of $f$ and $g$.

Function satisfying $(Df(x)h,h) \geq \alpha(h,h), \forall x,h \in \mathbb{R}^n$ has an inverse around every point?

Does this Riemann integral over $[0,1]^2$ exist?

Tangent Planes to a Paraboloid

Directional derivative matrix representation

Multivariable Taylor polynomial when $f(x,y)=xe^{-xy^2}$

Using Green's theorem on locally conservative field

Is $f(x,y)= \frac{x^3y^2-2y^4}{\sqrt{2x^2+y^4}}$ for $(x,y)\neq (0,0)$, $f(0,0)=0$, defining a differentiable function?

How to sketch a function

Find global minima for multivariable function

Is $f(x,y) = \frac{xy}{(x^2 + y^2)^{\frac{1}{3}}}$ differentiable at $(0,0)$?

Show that the directional derivatives of $f$ and $g$ exist everywhere, but that there is a $u \neq 0$ for which $h'(0,u)$ does not

Determining if lines are skewed, parallel or intersecting using matrices.

Finding a point between two planes.

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