Question

For `f(t)= (t/(t+3), t/sqrt(t+1) -t )` what is the distance between `f(0)` and `f(1)`?

Answer 1

`sqrt (25/16 -2/sqrt 2)`

Explanation:

f(0)= (0,0) and f(1)= `(1/4, 1/sqrt2-1)`.

Now using distance formula, the distance would be

`sqrt ((1/4)^2 + (1/sqrt 2 -1)^2)`

=`sqrt(1/16 +1/2 -2/sqrt2 +1)`

=`sqrt (25/16 -2/sqrt 2)`