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arridsd9

arridsd9

Answered question

2022-06-20

For f ( t ) = ( t e 3 t , t 2 - t ) what is the distance between f(2) and f(5)?

Answer & Explanation

Rebekah Zimmerman

Rebekah Zimmerman

Beginner2022-06-21Added 32 answers

MathJax(?): Can't find handler for document MathJax(?): Can't find handler for document Step 1 f ( t ) = ( t e 3 t , t 2 - 1 )
t = 2 f ( 2 ) = ( 2 e 6 , 4 - 2 ) = ( 2 e 6 , 2 )
t = 5 f ( 5 ) = ( 5 e 15 , 25 - 5 ) = ( 5 e 15 , 20 )
Step 2
So then By Pythagoras, the distance, d, between these points is given by:
d 2 = ( 5 e 15 - 2 e 6 ) 2 + ( 20 - 2 ) 2
I'll leave you to work out d using a calculator

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