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Lesly Weiss

Lesly Weiss

Answered question

2022-06-04

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

Answer & Explanation

Elle Wood

Elle Wood

Beginner2022-06-05Added 1 answers

Step 1
f ( 1 ) = ( ln ( 1 ) - e 1 , 1 2 e 1 ) = ( - e , e )
f ( 2 ) = ln ( 2 ) - e 2 , 2 2 e 2 ) = ( ln ( 2 ) - e 2 , 4 e 2 )
Step 2
The distance between two points ( x 1 , y 1 ) and ( x 2 , y 2 ) is given by
( x 2 - x 1 ) 2 + ( y 2 - y 1 ) 2
Thus, the distance between f(1) and f(2) is
( ln ( 2 ) - e 2 + e ) 2 + ( 4 e 2 - e ) 2 27.131

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