Concept explainers
(a)
To calculate: The length of the semicircle with the different parameterizations.
(a)
Answer to Problem 35E
The required length of the semicircle is
Explanation of Solution
Given information:
The parametric equations:
Calculation:
The parametric equations are
Differentiate the above equations with respect to t .
And,
Consider that L be the length of the parametric curve.
So,
Write the length of the path traveled by the projectile as:
Hence, the required length of the semicircle is
(b)
To calculate: The length of the semicircle with the different parameterizations.
(b)
Answer to Problem 35E
The required length of the semicircle is
Explanation of Solution
Given information:
The parametric equations:
Calculation:
The parametric equations are
Differentiate the above equations with respect to t .
And,
Consider that L be the length of the parametric curve.
So,
Write the length of the path traveled by the projectile as:
Hence, the required length of the semicircle is
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic
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