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

Cash Duncan

Cash Duncan

Answered question

2022-04-13

For f(t)=(tt3,t3) what is the distance between f(0) and f(3)?

Answer & Explanation

ditumpasz9xj

ditumpasz9xj

Beginner2022-04-14Added 8 answers

Step 1
By plugging values, you have
f(0)=(003,03)=(0,0)
f(3)=(333,33)=(327,27)=(24,27)
Step 2
Both f(0) and f(3) are points on the plane, so we find the distance between them with the formula
d=(x1+x2)2+(y1y2)2
In this case, (x1,y1)=(0,0) and (x2,y2)=(24,27). So, the distance is
d=(0+24)2+(027)2=242+272+1305=9145=3145

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?