My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
October 30th, 2009, 07:57 PM   #1
Newbie
 
Joined: Oct 2009

Posts: 4
Thanks: 0

Area bounded between 2 curves

Consider the area bounded between curves y=-2x and y=3-x^{2}.

If 2 vertical lines that are a unit apart intersect this certain bounded area, where should they be placed so that they contain the most amount of the area between them? What's the max. area?

I keep getting told that this is the rule I am supposed to use:

But I am unsure of how to apply the rule here.



Ok so the latex isn't working ...

int a - b (-2x - 3-x^2) dx

But then how to proceed?
Civilization is offline  
 
October 30th, 2009, 09:01 PM   #2
Math Team
 
Joined: Dec 2006
From: Lexington, MA

Posts: 3,267
Thanks: 407

Re: Area bounded between 2 curves

Hello, Civilization!

Quote:





The graph looks like this:
Code:
                   |
                   *
              *    |    *
          *    *   |    |:::*
   - - * - - - - - * - -|:::|- * - - - -
     *             |   *::::|    *
    *              |       *|     *
                   |           * 
   *               |               *
                   |



[color=beige]. . [/color]






But check my work . . . please!

soroban is offline  
October 31st, 2009, 09:34 AM   #3
Newbie
 
Joined: Oct 2009

Posts: 4
Thanks: 0

Re: Area bounded between 2 curves

Whoa, very nice diagram.

I actually stopped looking at your post once you typed in (3-x^2 etc.) in the integral from a to a+1. It was easy for me to figure out what the A equals to after having the equation written. Do you have any tips on how to actually start an integration problem like this? Obviously on a test I won't have any help. After getting the right integrand, integration becomes easier.

Anyway,

A' = 1-2a
2a = 1
a = 1/2

So the lines should be placed at x = 1/2 and x = 3/2, right?
Civilization is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
area, bounded, curves



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Finding area between two bounded curves PhizKid Calculus 0 December 5th, 2012 06:59 PM
Area Bounded By The Curve Trafford99 Calculus 2 June 14th, 2012 11:42 AM
rotating the region bounded by the given curves aaron-math Calculus 5 October 10th, 2011 03:36 PM
area between curves FreaKariDunk Calculus 5 October 2nd, 2011 09:32 PM
Find area bounded by the curves Feyenoord87 Calculus 1 December 1st, 2007 06:42 AM





Copyright © 2017 My Math Forum. All rights reserved.