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jackkim4
Group Title
Find the interval [a,b] for which the value of the integral b
s(2+xx^2)dx
a
is maximum
 2 years ago
 2 years ago
jackkim4 Group Title
Find the interval [a,b] for which the value of the integral b s(2+xx^2)dx a is maximum
 2 years ago
 2 years ago

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jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
help me :'(
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
is this your question ?\[\int\limits_a^b(2+xx^2)\text dx\]
 2 years ago

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
yes!!! sry first time here....
 2 years ago

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
is the answer [1, 2] or [1,1/2] ??
 2 years ago

helder_edwin Group TitleBest ResponseYou've already chosen the best response.0
as @UnkleRhaukus pointed out, you have maximize \[ \large F(a,b)=\int_a^b(2+xx^2)\,dx \]
 2 years ago

helder_edwin Group TitleBest ResponseYou've already chosen the best response.0
which one gives u the greatest area?
 2 years ago

helder_edwin Group TitleBest ResponseYou've already chosen the best response.0
*value, sorry.
 2 years ago

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
doesnt [1, 1/2] wait no... it's [1, 2]
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
what did you get when you integrated
 2 years ago

helder_edwin Group TitleBest ResponseYou've already chosen the best response.0
which interval?
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits_a^b(2x^0+x^1x^2)\text dx=\frac{2x^1}1+\frac{x^2}2\frac{x^3}{3}\Big_a^b\]\[=2(ba)+\frac{(ba)^2}2\frac{(ba)^3}{3}\] right?
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
actually i think i made a mistake
 2 years ago

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
it's separated right
 2 years ago

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
[2b+b^2/2b^3/3][2a+2a^2/2a^3/3]
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits_a^b(2x^0+x^1x^2)\text dx=\frac{2x^1}1+\frac{x^2}2\frac{x^3}{3}\Big_a^b\]\[\qquad\qquad=\left({2b}+\frac{b^2}2\frac{b^3}3\right)\left({2a}+\frac{a^2}2\frac{a^3}3\right)\]yeahs
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
so when is this maximum
 2 years ago

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
at a= 1 b= 2 ! right?
 2 years ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.1
Maximize F(b) by derivative, minimize F(a) by derivative.
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[=b\left({2}+\frac{b}2\frac{b^2}3\right)+a\left({2}\frac{a}2+\frac{a^2}3\right)\]
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
\[=6b\left(12+3b2b^2\right)+6a\left(2a^23a12\right)\]
 2 years ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.1
\[\large F \prime (b)=2+bb^2=0\]\[\large \text{max at } b=2\]\[\large F \prime (a)=2+aa^2=0\]\[\large \text{max at } a=1\] interval: [1, 2]
 2 years ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.1
wow, my answer is among the choices given.
 2 years ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.1
typo mistake. it should be min at a = 1
 2 years ago

jackkim4 Group TitleBest ResponseYou've already chosen the best response.0
yayyyyyy tytytyty! :')
 2 years ago
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