What is the Intersection of Two Curves?

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Homework Help Overview

The discussion revolves around finding the intersection of two curves defined by the equations y=x^2-2x and y=x^3. Participants explore the nature of the problem without providing a complete solution.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss various methods to approach the problem, including graphing the functions, determining points of intersection, and considering the area between the curves. Some participants question whether the goal is to find the area or simply the intersection points.

Discussion Status

The discussion includes attempts to clarify the problem and explore different methods. Some guidance has been offered regarding visualizing the curves and considering the area, but there is no explicit consensus on the approach to take.

Contextual Notes

One participant expresses uncertainty about how to begin, indicating a potential lack of foundational understanding or information. The discussion does not reference any specific homework constraints or rules.

Jasty
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Homework Statement



y=x^2-2.x
y=x^3

Homework Equations



none

The Attempt at a Solution



I have no idea how to do this so please help me. Thank you.
 
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Hi Jasty! :smile:

Are you trying to find the area?

If so, divide it into slices of thickness dx, find the area of each slice, and integrate. :smile:
 
1. Draw their graphs.

2. Determine where they intersect.

3. Imagine the area divided into thin, vertical rectangles.

4. What would be the area of each of those rectangles?

5. Their total area is a Riemann sum. Convert that into an integral.
 
Thanks a lot. Finally, i found out how to deal with this one.
 

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