   Chapter 13.1, Problem 2E

Chapter
Section
Textbook Problem

# Find the domain of the vector function.2. r ( t )  = cos  t  i  +  ​ ln   t  j +  1 t  - 2 k

To determine

To find: The domain of vector function r(t)=costi+lntj+1t2k .

Explanation

Given data:

The vector function is,

r(t)=costi+lntj+1t2k (1)

Formula used:

Write the expression for vector function r(t) .

r(t)=f(t)i+g(t)j+h(t)k (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 the vector function equation (1) with equation (2).

f(t)=costg(t)=lnth(t)=1t2

Find the range of t for f(t)

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