Let P be the point with Cartesian coordinates (6,9), and C be the plane curve with parametric equations x = ²-t, and = Y (2+³ - 11) 2/3. 1. Find the value of t which corresponds to the point P on C. 2. Find an equation (in point-slope form) of the tangent line to C at the point 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 62E
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Let P be the point with Cartesian coordinates (6,9), and C be the plane curve with parametric equations
x = t²-t₁
and y
(2+³ - 11) 2/3.
1. Find the value of t which corresponds to the point P on C.
2. Find an equation (in point-slope form) of the tangent line to C at the point P.
Transcribed Image Text:Let P be the point with Cartesian coordinates (6,9), and C be the plane curve with parametric equations x = t²-t₁ and y (2+³ - 11) 2/3. 1. Find the value of t which corresponds to the point P on C. 2. Find an equation (in point-slope form) of the tangent line to C at the point P.
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