Represent the plane curve by a vector-valued function. (There are

jeliceg2

jeliceg2

Answered question

2021-11-27

Represent the plane curve by a vector-valued function. (There are many correct answers.)
3x+4y12=0

Answer & Explanation

Pulad1971

Pulad1971

Beginner2021-11-28Added 22 answers

Step 1
Represents the plane curve by a vector valued function
We have an equation 3x+4y12=0
Explanation: We have an equation 3x+4y12=0
We know that the vector form is given by
r(t)=x(t)i+y(t)j
Now simplify the equation and find the value of y as follows.
Step 2
3x+4y12=0
4y=3x+12
y=34x+124
y=34x+3
y=334x
So let us consider x=t then y becomes
y=334t
So the vector valued function becomes
r(t)=ti+(334t)j

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