Pressure and Volume -- are the growth/decay rates exponential?

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Homework Help Overview

The discussion revolves around the nature of growth and decay rates in the context of pressure and volume, specifically questioning whether these rates are exponential. The original poster presents equations related to pressure and volume, indicating an integration process and observations about the behavior of these functions over specified limits.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to analyze the behavior of two functions related to pressure and volume, expressing confusion about whether their decay rates are exponential. Some participants question the clarity of the problem statement and seek further context to understand the nature of the functions involved.

Discussion Status

The discussion is ongoing, with participants exploring the definitions and characteristics of exponential decay. There is a lack of consensus on the original poster's question, as some participants request clarification on the problem and its context.

Contextual Notes

Participants note that the original poster's statements may lack sufficient detail for effective assistance, and there are indications of confusion regarding the definitions and implications of exponential functions in the given context.

lee123456789
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Homework Statement



forumlate if its growth/decay is exponential
I have equation that i intergrated and found Pressure over volume = work done of pressure
P = 3.2c^-1.4
f(v) = -8v^-0.4
i set limits of 10x10^-6 --> 100x10^-6
and
10x10^-6 --> 100x10^-6 but i increase both values by 20x10^-6 every time for this one

Homework Equations

The Attempt at a Solution



i know they both decay and decrease in value by ruffly a half each time. but they slow down in decay and there decay rates slow down.
i know a exponential function is something power of x

second limits sets it doesn't cross the x-axis it stays just above it each time
first limits sets cross the x-axis and slows down but keeps on decreasing . it doesn't stay above a certain value. it keeps on decreasing

slightly confused
are these decay and is the function overall both examples exponential and exponential decay ?
 
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Hello 1through9,
lee123456789 said:
forumlate if its growth/decay is exponential
I have equation that i intergrated and found Pressure over volume = work done of pressure
P = 3.2c^-1.4
f(v) = -8v^-0.4
This is not a problem statement. This way, helping becomes impossible !
 
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Please write down the question. I cannot even guess why there is exponential decay to begin with.
 
forumulate if the decay/growth is exponential that is al lthe question has given

im just bit confused of expnential
i worked out and draw both grapth. one goes negative and one stays positive and just continuous hovers above the 0 mark of x axis. they both produce a curve. but one. but one of them continously decrease in valuve and never levels off
are these decay and is the function overall both examples exponential and exponential decay ?
 
lee123456789 said:
forumulate if the decay/growth is exponential that is al lthe question has given
Can't believe that. Is it about Little Red Riding Hood or is it about something else ? What ? Any context ?
 

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