To find: The average value over the given interval using the trapezoidal sum.
Answer to Problem 20E
The approximate value of area under the curve is
Explanation of Solution
Given information: Use trapezoidal sums to approximate the average value over the interval
Using the trapezoidal rule for
Here the subinterval width
To find: The average of six values is less than the average value of the function over the interval
Explanation of Solution
Given information: Consider the shape of a curve that would pass through these points. Explain why you would expect the average of these six values to be less than the average value of the function over the interval
Since the trapezoidal rule evaluates the area under the curve by dividing the total area into small trapezoids. This rule takes the average of the left and the right sum.
Hence, the average of these six values is less than the average value of the function over the interval
Chapter 5 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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