Find the domain of the vector-valued function r(t)=\ln(t-1)i+\t

Pearl Carney

Pearl Carney

Answered question

2021-11-21

Find the domain of the vector-valued function
r(t)=ln(t1)i+Square root4tj

Answer & Explanation

Coon2000

Coon2000

Beginner2021-11-22Added 15 answers

Step 1 
This vector-valued function combines the following two operations:
1. Logarithmic function and 
2. Square root function 
Step 2 
For, ln(t1) to be defined 
t1>0t>1 
For the definition of the square root function
4t0t4 
So, the domain is: 
(1, 4]

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