   Chapter 12.2, Problem 38E

Chapter
Section
Textbook Problem

# Finding Intervals on Which a Curve Is Smooth In Exercises 27-34, find the open interval(s) on which the curve Riven by the vector- valued function is smooth. r ( t ) = t i + ( t 2 − 1 ) j + 1 4 t k

To determine

To calculate: The interval on which the curve r(t)=ti+(t21)j+14tk is smooth.

Explanation

Given:

The curve represented by vector valued function is:

r(t)=ti+(t21)j+14tk

Calculation:

Consider the following vector valued function:

r(t)=ti+(t21)j+14tk

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