Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
![g(x) = 4ecoN " sin x,
(0, ]
COS](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa79a3599-3379-47fd-8b6d-f7281f9b59ab%2F1e476213-7602-4909-b6da-3ff05a5c8ef7%2Ffjjspyp.png&w=3840&q=75)
Given data:
The given function is: g(x)=4ecosxsinx
The given interval is: [a,b]=[0,π].
The expression for the average or mean value of the function in the given interval is,
Substitute the values in the above expression.
Assume cosx=t and differentiate it with respect to t.
Substitute the above-calculated value in the equation (I).
Evaluate the upper limit of the function.
Evaluate the lower limit of the function.
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