2 -1.0. 1.0 0.5 20.0 -0.5 -0.5 -1.0 -1.0 0.0 -0.5 0 0.5 1.0 0.0 x 2 0.5 1.0 a. (t cos(4), t sin(4t), 1 – t) b. (cost, cos(2t), sin(2t)) c. (cost, cos(2t), sin(3t)) 0.0 1.0 0.5 ²0.0 -0.5 -1.0 -1.0. 1.0 0.5 0.0 20.0 -0.5 0.5 -1.0 0.5 -0.5. -1.0 0.0 -0.5 1.5 1.0 X 20 0.5 1.0 0.0 x 1.5 0.5 2.0 1.0 -1.0 € 1.0 0.5 ²0.0 -0.5 -1.0 0.5 -1.0 -0.5 -0.5 ²0.0 -0.5 y 0.0 -0.5 te [-π, π]). Y 0.0 -0.5 0.5 1.0 0.0 x 0.5 0.0 X 0.5 0.5 t. sın t, sin(12t)) 1.0 1.0

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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Question

I have the following curves and you need to identify which parametric function belongs to which graph, how do i approach this? How do I look at the graphs? I can get to the answer by putting them in geogebra but how do I recognize them without any helping tools?

2
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2
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a. (t cos(4), t sin(4t), 1 – t)
b. (cost, cos(2t), sin(2t))
c. (cost, cos(2t), sin(3t))
0.0
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-0.5.
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0.0
-0.5
1.5
1.0
X
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te [-π, π]).
Y
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1.0
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Transcribed Image Text:2 -1.0. 1.0 0.5 20.0 -0.5 -0.5 -1.0 -1.0 0.0 -0.5 0 0.5 1.0 0.0 x 2 0.5 1.0 a. (t cos(4), t sin(4t), 1 – t) b. (cost, cos(2t), sin(2t)) c. (cost, cos(2t), sin(3t)) 0.0 1.0 0.5 ²0.0 -0.5 -1.0 -1.0. 1.0 0.5 0.0 20.0 -0.5 0.5 -1.0 0.5 -0.5. -1.0 0.0 -0.5 1.5 1.0 X 20 0.5 1.0 0.0 x 1.5 0.5 2.0 1.0 -1.0 € 1.0 0.5 ²0.0 -0.5 -1.0 0.5 -1.0 -0.5 -0.5 ²0.0 -0.5 y 0.0 -0.5 te [-π, π]). Y 0.0 -0.5 0.5 1.0 0.0 x 0.5 0.0 X 0.5 0.5 t. sın t, sin(12t)) 1.0 1.0
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