To explain: Geometrically of the given statement.
![Check Mark](/static/check-mark.png)
Answer to Problem 30E
In each interval
Explanation of Solution
Given information:
The length of small arcs when search for a Riemann sums that leads the formula for arc length.
Calculation:
Let's say wanted to calculate the lengths of small arcs using segments of horizontal lines.
Then, the sum that would roughly represent the curve's length would be
over the partition. Suppose that the partition is given over the interval
:
Take the limit and get,
The reason why this does not work is because
In each interval
Chapter 7 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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