Please solve the following calculus problem please 1. Consider the ellipse given by x(t) = 9 cost and y(t) = 81 sint for 0 ≤ t ≤ 2π(a) Make a sketch of this ellipse in the space provided below. Appropriately label and scale yourgraph.(b) Using calculus, determine all values of t for which this ellipse has a horizontal tangent line.Confirm your answer using your graph.(c) Using calculus, determine all values of t for which this ellipse has a vertical tangent line.Confirm your answer using your graph.(d) Find the equation of the line tangent to this ellipse when t = (Do not round any valueswithin the equation to this tangent line.)

The given equation of eillipse is for

Answered: 1. Consider the ellipse given by x(t) =…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.2: Ellipses

Problem 24E

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