Solution Found!
The folium of Descartes (See Figure 3.28.)a. Find the
Chapter 3, Problem 46E(choose chapter or problem)
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).