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

ds522stlk

ds522stlk

Answered question

2022-04-14

For f(t)=(t2,t3) what is the distance between f(1) and f(3)?

Answer & Explanation

awalkbyfaithbzu6

awalkbyfaithbzu6

Beginner2022-04-15Added 21 answers

Step 1
f(1)=(1,1)
f(3)=(9,27)
Step 2
By Pythagoras, the distance, d, between these points is:
d2=(271)2+(91)2
d2=262+82
d2=676+64
d2=740
d=74027.2
maggionmoo

maggionmoo

Beginner2022-04-16Added 16 answers

Explanation:
f(1)=(1,1)
f(3)=(9,27)
The distance between them is given by Pythagoras Theorem.
(91)2+(271)2=2185
Answer: 2185

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