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Parameterizing Lines and Parabolas The parameterization of the line whose initial point is (1,3) and whose terminal point is (2,5) is given below. x(t) = 1+t y(t) = 3 + 2t 0

Parameterizing Lines and Parabolas The parameterization of the line whose initial point is (1,3) and whose terminal point is (2,5) is given below. x(t) = 1+t y(t) = 3 + 2t 0

Calculus: Early Transcendentals
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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Parameterizing Lines and Parabolas The parameterization of the line whose initial point is (1,3) and whose terminal point is (2,5) is given below. x(t) = 1+t y(t) = 3 + 2t 0 <t<1 1. Confirm that this parameterization is current by using a graphing device or graphing software. 2. Come up with a parameterization of this same curve but with 0 <t < 2. 3. What happens if we replace both t with t² in both x(t) and y(t)?
Transcribed Image Text:Parameterizing Lines and Parabolas The parameterization of the line whose initial point is (1,3) and whose terminal point is (2,5) is given below. x(t) = 1+t y(t) = 3 + 2t 0 <t<1 1. Confirm that this parameterization is current by using a graphing device or graphing software. 2. Come up with a parameterization of this same curve but with 0 <t < 2. 3. What happens if we replace both t with t² in both x(t) and y(t)?
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