3. Given the Curve with parametric equations: x t-1 and y=-+2t 3 dy parametrically. Leave answers in terms of t. dx (a) Find (b) Find the slope of the tangent line to the curve at t=1. d’y (c) Find da parametrically. Leave answer in terms of t (d) Determine the concavity of the curve at t=-2, if possible.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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3. Given the Curve with parametric equations: x=ť-1 and y
+2t
-
3
dy
(a) Find
parametrically. Leave answers in terms of t.
dx
(b) Find the slope of the tangent line to the curve at t =1.
parametrically. Leave answer in terms of t
d'y
(c) Find
dx?
(d) Determine the concavity of the curve at t =-2, if possible.
Transcribed Image Text:3. Given the Curve with parametric equations: x=ť-1 and y +2t - 3 dy (a) Find parametrically. Leave answers in terms of t. dx (b) Find the slope of the tangent line to the curve at t =1. parametrically. Leave answer in terms of t d'y (c) Find dx? (d) Determine the concavity of the curve at t =-2, if possible.
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