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May
22
revised $f(x,y)=4x^3y^2$ Directional Derivative…
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May
22
revised $f(x,y)=4x^3y^2$ Directional Derivative…
added 202 characters in body
May
22
comment Functional Maximization
Then take $s(x) =1$ everywhere to get $g(1)$? I don't understand what you mean by making sure $x \in [0,10]$.
May
22
answered $f(x,y)=4x^3y^2$ Directional Derivative…
May
22
comment Functional Maximization
Monoton increasing or decreasing?
May
22
comment Functional Maximization
How can $x$ appear in both the integral and the upper limit? What is $g$? What space does $s$ lie in?
May
22
answered Leibniz Formula, proof of alternating property
May
22
comment If the surface area of a box is 32 and its volume is doubled what is the new surface area?
I believe that with the information supplied that the best one can do is to find the smallest number $B$ such that any surface area $S \ge B$ is achievable.
May
22
revised If the surface area of a box is 32 and its volume is doubled what is the new surface area?
sp.
May
22
awarded  Nice Answer
May
22
answered If the surface area of a box is 32 and its volume is doubled what is the new surface area?
May
21
comment If the surface area of a box is 32 and its volume is doubled what is the new surface area?
In fact, the new surface area could be the same...
May
21
comment Two versions of the Inverse Function Theorem.
It is a little subtle.
May
21
comment Two versions of the Inverse Function Theorem.
You see that $x \mapsto D(f^{-1})(f(x))$ is $C^\infty$?
May
21
comment If the surface area of a box is 32 and its volume is doubled what is the new surface area?
How is the volume doubled? Don't tell me Banach & Tarski...
May
21
revised Two versions of the Inverse Function Theorem.
added 418 characters in body
May
21
answered Two versions of the Inverse Function Theorem.
May
21
comment Integrate with $-d(x/y)$
It is gross notation.
May
21
comment Counterexample for Interchange of Limits in integration
Sort of the opposite of an approximation to the identity :-).
May
21
answered Counterexample for Interchange of Limits in integration