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Consider the curve parameterized by x(t) = 2(t²-1), y(t) = 5e²t, tER Determine an equation of the form y = f(x) for the tangent line to the curve when t = 1. y= (Remember to type exp(x) for ex.)

Consider the curve parameterized by x(t) = 2(t²-1), y(t) = 5e²t, tER Determine an equation of the form y = f(x) for the tangent line to the curve when t = 1. y= (Remember to type exp(x) for ex.)

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Consider the curve parameterized by x(t) = 2(t²-1), y(t) = 5e²t, tER Determine an equation of the form y = f(x) for the tangent line to the curve when t = 1. y= (Remember to type exp(x) for e.)
Transcribed Image Text:Consider the curve parameterized by x(t) = 2(t²-1), y(t) = 5e²t, tER Determine an equation of the form y = f(x) for the tangent line to the curve when t = 1. y= (Remember to type exp(x) for e.)
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