Concept explainers
a.
To set up an integral for the length of the curve.
a.
Answer to Problem 6E
The integral for the length of the curve is
Explanation of Solution
Given information:
The given equation is
Formula used:
If a smooth curve begins at
Calculation:
Evaluate
Which is continuous on
The integral for the length of the curve is
b.
To graph the curve to see what it looks like.
b.
Explanation of Solution
Given information:
The given equation is
Graph:
Interpretation: the part of curve whose length is to be evaluated is shown above.
The crop size is
c.
To find the length of curve using NINT.
c.
Answer to Problem 6E
The length of the curve is approximately 4.698
Explanation of Solution
Given information:
The given equation is
Calculation:
First write the integral
The length of the curve is approximately 4.698
Chapter 8 Solutions
Calculus: Graphical, Numerical, Algebraic
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