Question

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

Answer 1

the distance is 32

Explanation:

First you would calculate f(2) and f(5):

`f( 2 )=((2-1)^2;-2^2-2*2)=(1;-8)`

`f(5)=((5-1)^2; -5^2-2*5)=(16;-35)`

Then you can calculate the distance:

`sqrt((1-16)^2+(-8+35)^2)=sqrt(225+729)=sqrt1024=32`