#Calc Optimization problem

59 messages · Page 1 of 1 (latest)

radiant bronze
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Where to start? Do I differentiate, find critical points right away? How do I relate the variables to each other?

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static violetBOT
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ebon beacon
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im not really sure if thats correct but thats how i would do it

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ebon beacon
radiant bronze
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No I don't have it

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This is how I started it I'll read your solution rn

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radiant bronze
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How'd you get max ratio h = H/3

ebon beacon
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Vout/Vin = H^3/h^3

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then take derivative

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you got -3* H^3/h^4

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Derivative is always negative (for h > 0)
Ratio decreases as h increases
h must be less than H

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nah i dont think what im doing is correct tbh

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but ill still try to prove it

radiant bronze
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Ok

ebon beacon
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i hope you can read it my other pen died

radiant bronze
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Lol np

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The vertex of the inner cone is ON the base (at the centre of the base)

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I think there's some Pythagorean Theorem to do here but I'm being lazy hold on

ebon beacon
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the geometry changes

radiant bronze
ebon beacon
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because of the geometric relationship between the cones

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it shouldn matter

radiant bronze
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Ty bro I'll go think on it

ebon beacon
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np good luck with that crap

radiant bronze
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I'm pretty sure I did this exact same question like 9 months ago but I'm so out of practice that I forgot it

ebon beacon
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that was my first time facing a problem like that but i hope i could help a little

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alteast

radiant bronze
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Ay you did better than me definetely helped ty

cloud bay
ebon beacon
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and then they ask question

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maybe correct me then i correct them discussing the solution

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but i get your point too

cloud bay
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what you’re doing is good

ebon beacon
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ohh

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really?

cloud bay
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probably better than anyone i’ve met who has sent solutions

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cause you explain the rationale well

cloud bay
quasi emberBOT
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ebon beacon
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wait yea you told me that before too actually

cloud bay
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yes

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😔

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it’s relatively easy to adapt

ebon beacon
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yea ill try to do that but if i ask most people

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send me what you have they have nothing

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thats why i like uni people they really know what theyre doing and you can discuss

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and learn

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but from now on ill ask questions and not post the solution

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straight away

cloud bay
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👍

radiant bronze