List questions from extreme-value-theorem

Published on 10 Sep 2017 - 12:34

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Proving that any continuous complex function is bounded on a closed bounded set

Published on 15 Sep 2017 - 0:48

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if $A,B \subseteq \Bbb R^n, A \cap B = \emptyset$ , $A$ compact and $B$ closed then the distance is achieved.

Published on 30 Oct 2017 - 15:57

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Local extremes of: $f(x,y) = (x^2 + 3y^2)e^{-x^2-y^2}$

Published on 03 Nov 2017 - 14:26

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Find maximum and minimum value of function of three variables on the set $E$

Published on 05 Nov 2017 - 18:08

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Show $f(x,y) = y^2 - x^2$ at $(0,0)$ has a critical point, but is not a max/min value

Published on 10 Nov 2017 - 1:28

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Prove that a function attains its minimum

Published on 17 Nov 2017 - 8:42

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What are the points on a Return Level Plot?

Published on 17 Nov 2017 - 15:19

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Absolute extremes of: $f(x,y)=x^3+xy+y$ in the enclosed triangle region limited by the lines $x=-1$, $y=3$, $y=x+2$.

Published on 18 Nov 2017 - 21:41

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Determine the Conditional Extremes of a Function

Published on 21 Nov 2017 - 14:25

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Absolute Extremes of: $f(x,y,z) = xyz$ with $x+y+z=1$

Published on 21 Nov 2017 - 15:52

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If a function is defined on a closed interval $[a,b]$, does it necessarily achieve a max and min value on that interval?

Published on 03 Dec 2017 - 7:35

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Extreme values for a vector equation

Published on 17 Dec 2017 - 11:01

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Finding extreme values where second derivative is zero

Published on 04 Jan 2018 - 9:50

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Find sufficent condition for $g(y)$

Published on 21 Aug 2020 - 19:36

List Question

Show that f has a minimun

Proving that any continuous complex function is bounded on a closed bounded set

if $A,B \subseteq \Bbb R^n, A \cap B = \emptyset$ , $A$ compact and $B$ closed then the distance is achieved.

Local extremes of: $f(x,y) = (x^2 + 3y^2)e^{-x^2-y^2}$

Find maximum and minimum value of function of three variables on the set $E$

Show $f(x,y) = y^2 - x^2$ at $(0,0)$ has a critical point, but is not a max/min value

Prove that a function attains its minimum

What are the points on a Return Level Plot?

Absolute extremes of: $f(x,y)=x^3+xy+y$ in the enclosed triangle region limited by the lines $x=-1$, $y=3$, $y=x+2$.

Determine the Conditional Extremes of a Function

Absolute Extremes of: $f(x,y,z) = xyz$ with $x+y+z=1$

If a function is defined on a closed interval $[a,b]$, does it necessarily achieve a max and min value on that interval?

Extreme values for a vector equation

Finding extreme values where second derivative is zero

Find sufficent condition for $g(y)$

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