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Chapter 10: Q.7 (page 694)

graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of curve. Verify your graph using a graphing utility.
x=3t+2,y=t+1;0鈮�t鈮�4

Short Answer

Expert verified

The Rectangular form of the given curve is x-3y+1=0

Orientation is Left to Right

Step by step solution

01

Step. 1 Description

Given

The parametric equation curve

x=3t+2,y=t+1;0鈮�t鈮�4

To Find

a. The Rectangular equation of the given curve

b. Plot the graph of the curve and Varify it using graphing utility

02

Step. 2 Simplification

a. x=3t+2;0鈮�t鈮�4t=x-23eqn1y=t+1;0鈮�t鈮�4putthevalueoftfromeqn1y=x-23+1y=x+13x-3y+1=0thisistherectangularformofthegivenequation

03

Step. 3 Simplification

The graph of given parametric equation is plotted as

04

Step. 3 Simplification

Hence the graph of rectangular equation of the given curve is plotted as

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