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sg101cp6vv

sg101cp6vv

Answered question

2022-05-15

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

Answer & Explanation

bamenyab4mxn

bamenyab4mxn

Beginner2022-05-16Added 16 answers

Step 1
First, we need to find the exact points:
f ( 1 ) = ( ln 1 e 1 , e 1 1 )
f ( 1 ) = ( 0 e , e )
f ( 1 ) = ( 0 , e )
f ( 2 ) = ( ln 2 e 2 , e 2 2 )
The Euclidean distance can generally be calculated through this formula:
d ( x , y , z , ... ) = Δ x 2 + Δ y 2 + Δ z 2 + ...
Where x ,   y ,   z are the differences in each space (axis). Therefore:
d ( 1 , 2 ) = ( 0 - ln 2 e 2 ) 2 + ( e - e 2 2 ) 2
d ( 1 , 2 ) = 0.0087998 + 0.953056684
d ( 1 , 2 ) = 0.9618565

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