The folium of Descartes (See Figure 3.28.)a. Find the

Chapter 3, Problem 46E

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QUESTION:

The folium of Descartes  (See Figure 3.28. )


a. Find the slope of the folium of Descartes \(x^{3}+y^{3}-9 x y=0\) at the points \((4,2)\) and \((2,4)\).

b. At what point other than the origin does the folium have a horizontal tangent?


c. Find the coordinates of the point
A in Figure 3.28, where the folium has a vertical tangent.

Equation Transcription:

Text Transcription:

x3+y3-9xy=0

(4,2)

(2,4)

Questions & Answers

QUESTION:

The folium of Descartes  (See Figure 3.28. )


a. Find the slope of the folium of Descartes \(x^{3}+y^{3}-9 x y=0\) at the points \((4,2)\) and \((2,4)\).

b. At what point other than the origin does the folium have a horizontal tangent?


c. Find the coordinates of the point
A in Figure 3.28, where the folium has a vertical tangent.

Equation Transcription:

Text Transcription:

x3+y3-9xy=0

(4,2)

(2,4)

ANSWER:

Solution:-

Step 1 of 8

Given that

(a) We have to find the folium of descartes  at the points (4,2) and (2,4).

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