For <mstyle displaystyle="true"> f ( t )

qtbabe9876a9 2022-05-22 Answered
For f ( t ) = ( ln t - e t , t 2 e t ) what is the distance between f(2) and f(4)?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Mihevcekd
Answered 2022-05-23 Author has 7 answers
Step 1
The distance between two points P 1 ( x 1 , y 1 ) and P 2 ( x 2 , y 2 ) is given as ( x 1 - x 2 ) 2 + ( y 1 - y 2 ) 2
Step 2
with f ( t ) = ( ln ( t ) - e t , t 2 e t ) we get
f ( 2 ) = ( ln ( 2 ) - e 2 , 4 e 2 )
f ( 4 ) = ( ln ( 4 ) - e 4 , 16 e 4 )
so the distance is given by ( e 4 - e 2 - ln ( 2 ) ) 2 + ( 4 e 2 - 16 e 4 ) 2
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions