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Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section. There is interesting relationship among the graph of a function and the graph of its inverse.
Following is the graph of the function and inverse of the above examples.
we can illustrates that the graph of the inverse is a reflection of the actual function regarding the line y = x . It will always be the case with the graphs of a function & its inverse.
Suppose a fluid (say, water) occupies a domain D? R^(3 ) and has velocity field V=V(x, t). A substance (say, a day) is suspended into the fluid and will be transported by the fluid
Unit circle: The unit circle is one of the most valuable tools to come out in trig. Unluckily, most people don't study it as well. Below is the unit circle with just the first
3x+5y
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What are some of the interestingmodern developments in cruise control systems that contrast with comparatively basic old systems
5 2 ----- - ----- x-1 x+1 -------------------- x 1 ----- + ----- x-1 x+1
A 64-ounce bottle of detergent costs $3.20. What is the cost per ounce of detergent? To ?nd out the cost per ounce, divide the cost through the number of ounces; $3.20 ÷ 64 =
Let's start things by searching for a mixing problem. Previously we saw these were back in the first order section. In those problems we had a tank of liquid with several kinds of
Question: Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations? Xy'-2y =x Xy'' -2y' =xsin(y)
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