Concept explainers
Define the average rate of change of function g(t) over the interval
Explanation of Solution
Calculation:
The average rate of change of function g(t) over the interval
The average rate is defined as if one function is changing with respect to other function.
For the above case Average rate of change is equal to change in
If
Now curve
And
From equation (1) and (2) it is concluded that the rate of change is the slope of the secant line through the point
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Chapter 2 Solutions
University Calculus: Early Transcendentals, Single Variable (3rd Edition)
- 5-6 Yes or No? If No, give a reason aIs the average rate of change of a function between x=a and x=b the slope of the secant line through (a,f(a)) and (b,f(b))?arrow_forwardSign of VelocityWhen directed distance is decreasing, is velocity positive or negative? What is the velocity when directed distance is not changing?arrow_forwardUse the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.arrow_forward
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