# Represent the plane curve by a vector-valued function y=9-x^{2}

Represent the plane curve by a vector-valued function
$y=9-{x}^{2}$
You can still ask an expert for help

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Warajected53
Step 1
Let us find the plane curve by a vector-valued function
Given:
$y=9-{x}^{2}$
The vector valued function for a plane curve:
$r\left(t\right)=x\left(t\right)i+y\left(t\right)j$
Step 2
$x\left(t\right)=t$
$y\left(t\right)=9-{t}^{2}$
$r\left(t\right)=ti+\left(9-{t}^{2}\right)j$