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

inlays85k5 2021-11-23 Answered
Represent the plane curve by a vector-valued function. x2+y2=25
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memomzungup4
Answered 2021-11-24 Author has 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
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