   Chapter 12.1, Problem 8E

Chapter
Section
Textbook Problem

# Finding the domain In exercises 3–10 find the domain of the vector valued function. r ( t ) = F ( t ) × G ( t ) , where . F ( t ) = t 3   i − t   j + t   k ,   G ( t ) = t i 3 + 1 1 + t j + ( t + 2 ) k  and Finding the domain In exercises 3–10 find the domain of the vector valued function. r ( t ) = F ( t ) × G ( t ) , where . F ( t ) = t 3   i − t   j + t   k ,   G ( t ) = t i 3 + 1 1 + t j + ( t + 2 ) k  and

To determine

To calculate: Thedomain of the vector valued function r(t)=F(t)×G(t), where F(t)= t3itj+tk, G(t)=t3i+11+tj+(t+2)k

Explanation

Given: Vector functions: r(t)=F(t)×G(t), where F(t)= t3itj+tk, G(t)=t3i+11+tj+(t+2)k.

Calculation:

First, determine the domain for each component of the vector and then take the intersection of the solution. The intersection is the required result.

r(t)=F(t)×G(t)=[ijkt3ttt311+tt+2]

=i[(t){t+2}t1+t]+j[tt3t3(t+2)]+k[t31+t+tt3]

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 