function

got y = -b^3 so [b] + [-b^3] + 4 is what we need to maximise but how do we do that?
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15 Replies
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Opt
Opt5mo ago
I got 3 somehow
Aetherfly
AetherflyOP5mo ago
how did u maximise the thing
Opt
Opt5mo ago
AM-GM for r+(1/r)
Aetherfly
AetherflyOP5mo ago
oh i took a ar ar^2 so 1 = a (1+r+r^2) b = a(ar) + (ar)(ar2) + a(ar2) b = a2 (r + r2 + r3) or b = r a^2 (1+r+r^2) and y = a(ar)(ar^2) y = -a^3 r^3 = -(ar)^3 b = ar so y = -b^3 so expression is [b] + [-b^3] + 4 b > 0 so max should be 4 how do you get this using a ar ar^2
Opt
Opt5mo ago
I am not sure
SirLancelotDuLac
We have to maximize [b]+[-b^3], and we know that b=ar>0 So, from above [b]=0 and -1<-b^3<0 So the required value would be 0+(-1)+4=3. Is the answer 3?
Opt
Opt5mo ago
I got the same
SirLancelotDuLac
I don't get what they mean by maximize tho, it would be a fixed value with the given constraints, right?
Opt
Opt5mo ago
Yeah beta lies in 0,1/3
iTeachChem
iTeachChem4mo ago
+solved @Opt @SirLancelotDuLac
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