How to Calculate Relative Rates of Change with a*v=s*w?

In summary, a relative rate of change is a comparison of how one variable changes in relation to another variable. It is calculated by dividing the change in one variable by the change in another, and can be represented as a fraction or percentage. The difference between relative and absolute rate of change is that absolute measures the total change while relative provides a broader comparison. It is important in scientific research because it helps understand relationships between variables and identify patterns and trends. Some real-life examples include population growth, economic trends, and chemical reactions.
  • #1
flash9286
9
0
if you have a*v=s*w how do you get:

delta a/a+delta v/v=delta s/s+delta w/w

can anybody explain why this is true.
 
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  • #2
Well, fiddle about with the expression:
[tex](a+\delta{a})(v+\delta{v})=(s+\delta{s})(w+\delta{w})[/tex]
 
  • #3
I'm sorry I don't follow
 
  • #4
What do you not follow?
Do you not understand that the equation av=sw holds for different choices of "a", "s", "v" and "w", including the choices [itex](a+\delta{a}),(s+\delta{s}),(v+\delta{v}),(w+\delta{w})[/itex]?
 
  • #5
Nevermind I got it. Thanks for your help
 

What is a relative rate of change?

A relative rate of change is a measure of how one variable changes in relation to another variable. It compares the rate of change between two variables, rather than the absolute change of one variable.

How is relative rate of change calculated?

The relative rate of change is calculated by dividing the change in one variable by the change in another variable. This can be represented as a fraction or percentage.

What is the difference between relative and absolute rate of change?

The absolute rate of change measures the total change in a variable over a certain period, while the relative rate of change compares the change in one variable to the change in another. Absolute rate of change is a more specific measure, while relative rate of change provides a broader comparison.

Why is relative rate of change important in scientific research?

Relative rate of change allows scientists to understand the relationship between different variables and how they affect each other. It can also help identify patterns and trends in data, and make predictions based on these relationships.

What are some real-life examples of relative rate of change?

Relative rate of change can be seen in many areas, such as population growth, economic trends, and chemical reactions. For example, the relative rate of change between the number of births and deaths in a population can indicate the growth or decline of that population.

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