For \(\displaystyle{f{{\left({t}\right)}}}={\left({\frac{{{t}}}{{{t}-{3}}}},{\frac{{{t}}}{{\sqrt{{{t}^{{{2}}}+{1}}}}}}\right)}\) what is the distance between

Braden Hatfield

Braden Hatfield

Answered question

2022-04-14

For f(t)=(tt3,tt2+1) what is the distance between f(0) and f(1)?

Answer & Explanation

ysnlm8eut

ysnlm8eut

Beginner2022-04-15Added 14 answers

Step 1
The coordinates of point for f(0) is (003,002+1) or (0, 0)
and for f(1) we have (113,112+1) or (12,12)
Step 2
The distance between the two points is
(0(12))2+(012)2=14+12=34=32=1.7322
Answer: =0.866

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