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Carolyn Beck

Carolyn Beck

Answered question

2022-06-24

For f ( t ) = ( ln t e t , t e t ) what is the distance between f(1) and f(2)?

Answer & Explanation

nuvolor8

nuvolor8

Beginner2022-06-25Added 32 answers

Step 1
First, plug in 1:
f ( 1 ) = ( ln ( 1 ) e 1 , 1 ( e 1 ) )
f ( 1 ) = ( 0 , e 1 )
Step 2
Now plug in 2:
f ( 2 ) = ( ln ( 2 ) e 2 , 2 ( e 2 ) )
Now use the distance formula:
d = ( ln ( 2 ) e 2 - 0 ) 2 + ( 2 e 2 - e 1 ) 2
d 12.06

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