Important Announcement(s)
Congratulations to
heredia21

Select a forum to post in:

Related Rates

Math topics

Moderators: Jessica, Teachers

Looking for a topic?
View the Math Topics Directory to find topics quicker under different kinds of math.

Related Rates

Post Number: #1  Postby Jessica » March 4th, 2012, 12:18 am

Right away, you can tell if a given problem is a related rates problem because it will contain wording like "HOW QUICKLY IS...CHANGING?" Related rates problems help you figure out how fast one variable is changing if you know exactly how quickly another variable is changing. No two problems are exactly alike, but the procedure is the same for all problems of this type.


Assume that oil spilled from a ruptured tanker spreads in a circular pattern whose radius increases at a constant rate of 2 ft/sec. How fast is the area of the spill increasing at the instant when the radius of the spill is 60 feet?

given:

find: when r = 60 ft


A = πr2

= 2πr

= 2π(60)(2)
= 240π ft2/sec

The area of the spill is increasing at 240π ft2/sec.
  • 0

User avatar
Jessica
Board Owner
Topic Author

Founder
Sapphire
Sapphire
 
7 years of membership7 years of membership7 years of membership7 years of membership7 years of membership7 years of membership7 years of membership
 
Posts: 3,461
Topics: 1,244
Articles: 30
Joined: December 22nd, 2010, 8:04 pm
Local time: November 18th, 2018, 5:59 am
Last Visit: Today, 12:11 am
Location: Pennsylvania
Gender: Female
Cash on hand: 4,596.17
Bank: 132,045.08
Reputation: 148
Medals: 19
#1: July 2012 1st Place (1) R-Contest #1 First Place (1) Best staff member 2013 (1) Easter Egg Hunt 2013 (1) Graphic Drawing Participant (1) 1 Year (1) 2 Years (1) 3 Years (1) 4 Years (1) 5 Years (1)
6 Years (1) 7 Years (1) Founder (1) Highest Rep (1) Referrer (1) Top poster (1) Facebook group (1) Pin-Board (1) Article Author (1)
Referrals: 27
Blog: View Blog (463)
Subject(s): Chinese, Math
Global Moderator
Admin
Moderator

Return to Math Topics

Login  •  Register
cron
Reputation System ©'