A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Find the interval [a,b] for which the value of the integral b
s(2+xx^2)dx
a
is maximum
anonymous
 4 years ago
Find the interval [a,b] for which the value of the integral b s(2+xx^2)dx a is maximum

This Question is Closed

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

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

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

helder_edwin
 4 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
 4 years ago
Best ResponseYou've already chosen the best response.0which one gives u the greatest area?

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

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

UnkleRhaukus
 4 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
 4 years ago
Best ResponseYou've already chosen the best response.0actually i think i made a mistake

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

UnkleRhaukus
 4 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
 4 years ago
Best ResponseYou've already chosen the best response.0so when is this maximum

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

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

UnkleRhaukus
 4 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
 4 years ago
Best ResponseYou've already chosen the best response.0\[=6b\left(12+3b2b^2\right)+6a\left(2a^23a12\right)\]

sirm3d
 4 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
 4 years ago
Best ResponseYou've already chosen the best response.1wow, my answer is among the choices given.

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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yayyyyyy tytytyty! :')
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.