A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Consider the function f(x) = 2sin(x2) on the interval 0 ≤ x ≤ 3.
(a) Find the exact value in the given interval where an antiderivative, F, reaches its maximum.
x =
(b) If F(1) = 9, estimate the maximum value attained by F. (Round your answer to three decimal places.)
y ≈
anonymous
 4 years ago
Consider the function f(x) = 2sin(x2) on the interval 0 ≤ x ≤ 3. (a) Find the exact value in the given interval where an antiderivative, F, reaches its maximum. x = (b) If F(1) = 9, estimate the maximum value attained by F. (Round your answer to three decimal places.) y ≈

This Question is Closed

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Wait, over an interval _

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Ignore the interval, and just solve that trig equation.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i know that the answer for part "a" is

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i dont know how to do part b

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Well, your interval s defined only up to 3. Is that supposed to be that way, or is the three suposed to be pi?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0a)\[2*\sin(2*x)=0\rightarrow x=k*pi/2\] In this interval x=pi/2

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Do you understand a though?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well i got x= dw:1334814197335:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and is the right answer

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Naturally, sqrt pi would be the largest value up to 3, because it squares out to pi.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the equation is f(x) = 2sin(x^2)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[F(x)=\cos(2*x)+K'\] \[F(1)=\cos(2*1)+K'=9\]

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3I know  That is sin x

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3but, sin x^2 is similar to the graph in that it has its highest values at sqrtpi

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sqrt(pi) is the right answer for part a is marking it right

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the part that i dont get how to do is part b

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Yes. Can you tell me what calc course you are enrolled in?

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Alright, give me a second.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.02sin(x^2) = 0 x^2 = pi x = sqrt(pi)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thats how i got my answer

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Have you learned how to approximate integrals?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thats what we are learning

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3No, what kind of approximations have you learned?

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3I just figured out how I can solve the problem.

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3http://www.wolframalpha.com/input/?i=integrate+2+sin%28x%5E2%29

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the tittle of this chapter is antiderivatives

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Note how the function uses something called the fresnal S, which I don't know either. But mor eimportantly, notice how it gets to its peak at about 1,7

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so how do i do part b?

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Have you learned trapozoidal approximation?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I also have a question for part b... help us figure this out plz

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Alright. that is the graph of f(x)=2 sin(x^2) right?

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Notice how the waves become wider and wider close to 0.

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3after that, they become thinner and thinner.

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Now, give me a second to explain something.

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Let me get htis plot into mathematica, and show you what I'm talking about.

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Ok. The area of a>b>c>d Tell me if you understand.

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3So, because of this, we know that from 0 to 3, the area enclosed in a is the greatest

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3So we are essentially looking for the area there.

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3@FoolForMath , I give up/

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3I can give you the answer though, me being a cheater cheater.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i wish i could do this math. _

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3I'm going to numerically evaluate the integral with wolfram Mathematica

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3@lgbasallote , here you go.

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Try the square root of pi then.

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3btw, try 1.790 if you haven't already.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0lol why call me =)) i only know algebra :P i dont like these stuffs

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3http://www.wolframalpha.com/input/?i=integral%5B2+sin%28x%5E2%29%2C%7Bx%2C0%2Csqrt%28pi%29%7D%5D

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3So, you are supposed to use an estimation method that isn't accurate, nor do I know. Or, the problem is set up funy.

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Got any more info about what you are learning right now?

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3If I used the methods they gave, I might just get the answer they are looking for.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i got the answer is y = 10.16912...

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3That's th correct answer?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1334818371099:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so\[\int\limits_{1}^{\sqrt{\pi}}f(x) = F(\sqrt{\pi})  F(1)\] all you need to do is find approximation for definite integral

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3Well, then I'm completely useless.

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3I'm still not sure how I missed that problem so badly. :/

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=integrate+2sin%28x^2%29+dx+from+1+to+sqrt%28pi%29 add 9 to get answer

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sorry for being redundant, i know you already got the answer just putting it out there for everyones benefit

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I believe graph would go like this. (the pitch decreasing with increase in x) dw:1334819574505:dw

inkyvoyd
 4 years ago
Best ResponseYou've already chosen the best response.3btw, yes, I'm trying to jump the gun and finish calculus and some math afterwards before I enter college.
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.