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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
23 Oct 2021

Given information

Given:

To find out the point on curve,where tangent is horizontal or vertical.

Step-by-step explanation

Step 1.

On differentiating x wrt t,

On differentiating y w.r.t. t, 

  

  

For the horizontal tangent line.

  

  

  

Substitute   in the given equations.

  

  

Substitute   in the given equations.

  

  

  

For vertical tangent line  ,

  

  

Substitute    in the given equations.

  

  

  

Substitute   in the given equations.

  

  

  

 

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