2) The following parametric equations represent circles. Some of them are the same and some of them are not the same (different radius and different center). Please put them in two different groups. Within each group, briefly describe the differences even though they represent the same graph. Differences could be 2 dr 2 + V dt direction of the graph, or speed, where speed = a) x = 3 sin t, y= 3 cos t, 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2) The following parametric equations represent circles. Some of them are the same and some of them are
not the same (different radius and different center). Please put them in two different groups. Within each
group, briefly describe the differences even though they represent the same graph. Differences could be
dx \ 2
dy 2
direction of the graph, or speed, where speed
%3D
a)
3 sin t, y = 3 cos t,
0 <t< 27
b)
x = 3 – cos 2t, y= 3+ sin 2t, 0<t < T
c) x = 3 cos 2t, y = 3 sin 2t, 0<t<T
Transcribed Image Text:2) The following parametric equations represent circles. Some of them are the same and some of them are not the same (different radius and different center). Please put them in two different groups. Within each group, briefly describe the differences even though they represent the same graph. Differences could be dx \ 2 dy 2 direction of the graph, or speed, where speed %3D a) 3 sin t, y = 3 cos t, 0 <t< 27 b) x = 3 – cos 2t, y= 3+ sin 2t, 0<t < T c) x = 3 cos 2t, y = 3 sin 2t, 0<t<T
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