Answered: Let P be the point with Cartesian…

Let P be the point with Cartesian coordinates (6, 9), and C be the plane curve with parametric equations x=t²-t, and y = (2t³ - 11)²/³.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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Question

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.

Please write the answer on paper (do not just type the answer and solution) so I can see the solutions clearly

Let P be the point with Cartesian coordinates (6,9), and C be the plane curve with parametric
equations
x = t²t, and y = (2t³ – 11)²/³.

Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)

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