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Chapter 10: Q. 37 (page 695)

In Problems 35鈥�38, find parametric equations that define the curve shown.

Short Answer

Expert verified

The parametric equation isx=3cost,y=2sint,0鈮�t鈮�2蟺

Step by step solution

01

Step 1. Given Information

We are given a graph

Given the curve and its coordinates, we were asked to determine its parametric equation. To do that, we have to find equation representing the given graph to find the parametric equation.

02

Step 2. Finding Parametric Equation

Since the ellipse is centre on origin, we can use the equation

x=acost,y=bsint

We have a=3,b=2

So, role="math" localid="1648033258757" x=3cost,y=2sint,0鈮�t鈮�2蟺

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