Maximizing Enclosed Areas: Calculus Techniques for Optimization

In summary, the conversation discusses a homework problem involving a piece of wire that needs to be cut into two pieces and bent into a square and a circle in order to maximize the enclosed areas. The use of calculus techniques is required for credit. The issue has already been resolved and the problem is no longer a concern.
  • #1
pyrojelli
17
0
:cry:Sorry to ask such a question, but our study group is at a loss as how to continue and our homework is due tomorrow. So here goes:

In order to receive credit we MUST use calculus techniques:

We have a piece of wire that is 100cm long and we're going to cut it into two pieces. One piece will be bent into a square and the other will be bent into a circle. Determine where the wire should be cut so that the enclosed areas will be at maximum. Note that it is possible to have the whole piece of wire go either to the square or to the circle:cry:
 
Physics news on Phys.org
  • #2
OK, what have you done so far?
 
  • #3
:redface:Sorry, I was in a rush and shouldv'e included that, thanks anyway, the problem has already been resolved.
 

FAQ: Maximizing Enclosed Areas: Calculus Techniques for Optimization

What is a Help Optimization Problem?

A Help Optimization Problem is a type of problem in which the goal is to find the best solution to a given situation or issue. It involves analyzing various factors and variables to determine the most efficient and effective way to solve a problem.

Why is Help Optimization important?

Help Optimization is important because it allows for better resource management and decision making. By finding the most optimal solution, resources can be used more efficiently and effectively, leading to better outcomes and results.

What are the common techniques used in Help Optimization?

Some common techniques used in Help Optimization include linear programming, dynamic programming, and genetic algorithms. These techniques involve using mathematical models and algorithms to find the best solution to a problem.

What are some real-world applications of Help Optimization?

Help Optimization has various real-world applications, such as in operations research, supply chain management, and financial portfolio management. It is also used in industries such as transportation, healthcare, and telecommunications to improve efficiency and reduce costs.

What are the steps involved in solving a Help Optimization Problem?

The steps involved in solving a Help Optimization Problem include defining the problem, identifying constraints and objectives, choosing an appropriate optimization technique, formulating a mathematical model, solving the model, and interpreting and implementing the results. It may also involve testing and refining the solution to improve its effectiveness.

Similar threads

Differentiating simple problems relating to area
Replies
3
Views
2K
Optimization Problem involving a wire
Replies
4
Views
2K
{Calculus 1} Optimization Problem
Replies
5
Views
2K
Optimization Math Help: Finding Minimum Enclosed Area with Wire Cut
2
Replies
35
Views
5K
Explain why this is correct (Optimization Problem)
Replies
2
Views
5K
What is the optimal amount of wire to use for a circle to minimize its area?
Replies
8
Views
10K
Maximizing the volume of a cylinder
Replies
1
Views
1K
MHB Maria's question at Yahoo Answers regarding optimization
Replies
1
Views
7K
Optimization Problem/application of the derivative
Replies
3
Views
3K
Application on Differentiation
Replies
4
Views
3K

Hot Threads

Recent Insights

Back
Top