Find the domain of the vector-valued function r(t)=\ln ti-e^{t}j-tk

Monincbh

Monincbh

Answered question

2021-11-23

Find the domain of the vector-valued function
r(t)=lntietjtk

Answer & Explanation

Kevin Hunt

Kevin Hunt

Beginner2021-11-24Added 20 answers

Step 1 
Given function is 
r(t)=ln(t)ietjtk 
Step 2 
Given that the ln function is defined for positive numbers, its 
(0, ) 
et is defined for all real numbers 
And t is also defined for all real numbers. 
Step 3 
So to find the domain, one have to consider domain of all. 
So the domain is 
(0, )

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