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

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

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

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

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

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

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

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

UnkleRhaukus
 2 years ago
Best 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?

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

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

UnkleRhaukus
 2 years ago
Best 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

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

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

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

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

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

sirm3d
 2 years ago
Best 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]

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

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

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