Consider the following parametric equations. x=t2t+6, y=t3 - 3t Use a graphing utility to graph the curve represented by the parametric equations. (a) Use a graphing utility to find dx dy dt dt dy and at the parameter t = -1. dx dx = dt dy dt dy dx (b) Find an equation of the tangent line to the curve at the parameter t = -1. Use a graphing utility to graph the curve and the tangent line.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 11T
Question
Consider the following parametric equations.
x=t2t+6, y=t3 - 3t
Use a graphing utility to graph the curve represented by the parametric equations.
(a) Use a graphing utility to find
dx dy
dt dt
dy
and at the parameter t = -1.
dx
dx
=
dt
dy
dt
dy
dx
(b) Find an equation of the tangent line to the curve at the parameter t = -1. Use a graphing utility to graph the curve and the tangent line.
Transcribed Image Text:Consider the following parametric equations. x=t2t+6, y=t3 - 3t Use a graphing utility to graph the curve represented by the parametric equations. (a) Use a graphing utility to find dx dy dt dt dy and at the parameter t = -1. dx dx = dt dy dt dy dx (b) Find an equation of the tangent line to the curve at the parameter t = -1. Use a graphing utility to graph the curve and the tangent line.
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