   Chapter 12.1, Problem 73E

Chapter
Section
Textbook Problem

# Continuity of a Vector-Valued Function In Exercises 71-76, determine the interval(s) on which the vector valued function is continuous. r ( t ) = 〈 e − t t 2 tan t 〉

To determine

To calculate: The interval on which the vector-valued function r(t)=et,t2,tant is continuous.

Explanation

Given:

The vector-valued function:

r(t)=et,t2,tant

Calculation:

Consider the vector-valued function:

r(t)=et,t2,tant

Evaluate the continuity of the vector valued function by evaluating the continuity of the component functions and then taking the intersection of the two sets.

The component functions of the vector valued function are:

f(t)=et, g(t)=

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