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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
12 Nov 2021

Given information

The curve is passing through the point(3,2)

y-intercept of the normal line is always 6. 

the normal line to a curve at a point on the curve is the line that passes through P
and is perpendicular to the tangent line at P.

Step-by-step explanation

Step 1.

P(a,b) be any point on the curve

m be the slope of the tangent line at point P

m=y(a)

equation of normal line 

 

 

therefore,

 

solving the equation for m,

 

equvalent equation is,

 

 

by integrating,

 

   

by calculating

c=11

 

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