   Chapter 12.1, Problem 26E

Chapter
Section
Textbook Problem

# Sketching a Plane Curve In Exercises 23–30, sketch the plane curve represented by the vector-valued function and give the orientation of the curve. r ( t ) = ( t 2 + t ) i + ( t 2 − t ) j

To determine

To Graph: We have to sketch the plane curve of the vector valued function r(t)=(t2+t)i+(t2t)j

Explanation

Given: Vector function r(t)=(t2+t)i+(t2t)j.

Graph:

r(t)=(t2+t)i+(t2t)j

Hence, x=(t2+t)… (1)and y=t2t….(2)

On adding (1) and (2) we get 2t2=x+y or t2=x+y2

On subtracting (2) fro

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