In this lesson, we will learn how to find the length of the curve of a vector-valued function and how to use that to find the arc length parameterization of a curve.

Q1:

Calculate the arc length of 𝑓(𝑡)=23𝑡,23𝑡,2𝑡cossin over the given interval [0,1].

Q2:

Calculate the arc length of 𝑓(𝑡)=(32𝑡,32𝑡,3𝑡)cossin over the given interval 0,𝜋2.

Q3:

Calculate the arc length of 𝑓(𝑡)=𝑡+1𝑡,𝑡+1𝑡,2√2𝑡cossin over the given interval [0,1].

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