(a)
To set: An integral for the length of the curve
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 4E
The length of the curve is
Explanation of Solution
Given information: A curve is given as
Formula used: The arc length of curve is given by
Calculation:
The given curve
so using the formula for arc length of curve one gets as:
Hence the length of the curve is
(b)
To graph: The graph of the given curve needs to be determined.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 4E
The graph of given curve is plotted below using Desmos graphing calculator.
Explanation of Solution
Given information: A curve is given as
Calculation: The graph is plotted below:
(c)
To find: The length of the curve needs to be determined using NINT.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 4E
The length of the curve using NINT is
Explanation of Solution
Given information: A curve is given as
Calculation: The length of the curve is found using NINT with the help of calculator as
Hence the answer is
Chapter 7 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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