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res2bfitjq

res2bfitjq

Answered question

2022-05-23

For f ( t ) = ( 1 t , - 1 t 2 ) what is the distance between f ( 2 ) and f ( 5 ) ?

Answer & Explanation

Ada Harrington

Ada Harrington

Beginner2022-05-24Added 12 answers

Step 1
Find the two points described by f ( 2 ) and f ( 5 )
f ( 2 ) = ( 1 2 , - 1 2 2 ) = ( 1 2 , - 1 4 )
f ( 5 ) = ( 1 5 , - 1 5 2 ) = ( 1 5 , - 1 25 )
Use the distance formula to find the distance between the points.
d = ( 1 2 - 1 5 ) 2 + ( - 1 4 - ( - 1 25 ) ) 2
= ( 5 10 - 2 10 ) 2 + ( - 25 100 + 4 100 ) 2
= ( 3 10 ) 2 + ( - 21 100 ) 2
= 9 100 + 441 10000
= 900 + 441 10000
= 1341 100 = 3 149 100 0.3662

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