Represent the plane curve by a vector-valued function. x^{2}+y^{2}=25

inlays85k5

inlays85k5

Answered question

2021-11-23

Represent the plane curve by a vector-valued function. x2+y2=25

Answer & Explanation

memomzungup4

memomzungup4

Beginner2021-11-24Added 14 answers

Step 1
It is given that, x2+y2=25
Let x=5cost and y=sint, Then
(5cost)2+(5sint)2=25(cos2(t)+sin2(t))
=25
Step 2
The function of the form r(t)=x(t)i+y(t)j is a vector valued function.
Substitute x and y in the above equation, to get
r(t)=(5cost)i+(5sint)j

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?