I. Let C be the curve with parametric equations I = 3t-1² t and yIn(t-1) for t = (1, +∞), and let P be the point (0, In 2). 1. Find the value of t which corresponds to the point P. 2. Without finding a Cartesian equation for the curve C, find an equation of the tangent line to Cat the point P. Leave your answer in point-slope form. 3. Determine if C is concave up or down at P.
I. Let C be the curve with parametric equations I = 3t-1² t and yIn(t-1) for t = (1, +∞), and let P be the point (0, In 2). 1. Find the value of t which corresponds to the point P. 2. Without finding a Cartesian equation for the curve C, find an equation of the tangent line to Cat the point P. Leave your answer in point-slope form. 3. Determine if C is concave up or down at P.
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 35E
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