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Chapter 10: Q. 38 (page 695)

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

Short Answer

Expert verified

The parametric equation isx=cost,y=4sint,0鈮�t鈮�蟺2

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 Equations

Here a=1,b=4

Thus, x=costy=4sint

The given graph only shows half of the ellipse in a counterclockwise direction0鈮�t鈮�蟺2

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