   Chapter 13.1, Problem 1E

Chapter
Section
Textbook Problem

# 1-2 Find the domain of the vector function. 1. r ( t ) = 〈 I n ( t ) , t 9  -  t 2 2 t 〉

To determine

To find: The domain of vector function r(t)=ln(t+1),t9t2,2t .

Explanation

Given data:

The vector function is,

r(t)=ln(t+1),t9t2,2t (1)

Formula used:

Write the expression for vector function r(t) .

r(t)=f(t),g(t),h(t) (2)

Here,

f(t) , g(t) , and h(t) are component functions of r.

The domain of vector function possesses all the value of t of defined vector function.

Compare equation (2) with equation (1).

f(t)=ln(t+1)g(t)=t9t2h(t)=2t

Find the range of t for f(t)

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