How to Calculate the Mean Y Value on a Curve?

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Homework Help Overview

The discussion revolves around calculating the mean y value of a curve defined by the function y=10/x^2. Participants are exploring the concept of average value in the context of integrable functions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster seeks to understand how to calculate the mean y value on a curve. Some participants question the integrability of the function and inquire about the formula for the average value of a function. Others provide a formula related to the average value of an integrable function over a specified interval.

Discussion Status

The discussion is active, with participants raising questions about the integrability of the function and the appropriate formula to use. Some guidance has been offered regarding the average value formula, but there is no explicit consensus on the approach to take.

Contextual Notes

There is a mention of needing to find the area under the curve between two points, but specific limits or additional constraints have not been provided.

dan greig
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how do i calculate the mean y value on a curve?
 
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Is the function integrable? Do you know the formula for the average value of a function?
 
the curve is,

y=10/x^2

i have already found the area under the curve between two points by changing this to,

10x^-2

no i don't know the formula?
 
Last edited:
Average value of an integrable function on the closed interval [a,b] can be found via

[tex]\frac {1}{b-a} \int_{a}^{b} f(x) dx[/tex]
 

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