(a)
To set: An integral for the length of the curve
(a)
Answer to Problem 3E
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)
Answer to Problem 3E
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)
Answer to Problem 3E
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
AP CALCULUS TEST PREP-WORKBOOK
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