The curve x^3 + y^3 = 3xy was first discussed in 1638 by the French philosopher-mathematician René Descartes, who called it the folium (meaning "leaf'). Descartes's scientific colleague Gilles de Roberval called it the jasmine flower. Both men believed incorrectly that the leaf shape in the first quadrant was repeated in each quadrant, giving the appearance of petals of a flower.Find an equation of the tangent line at the point (12/65, 48/65)(Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.)equation of the tangent line: The curve x³ + y³3xy was first discussed in 1638 by the French philosopher-mathematician René Descartes, who called itthe folium (meaning “leaf”). Descartes's scientific colleague Gilles de Roberval called it the jasmine flower. Both men believedincorrectly that the leaf shape in the first quadrant was repeated in each quadrant, giving the appearance of petals of a flower.12Find an equation of the tangent line at the point (1348³).-22y=2-X27=(Express numbers in exact form. Use symbolic notation and fractions where needed. Let yterms of y and x.)f(x) give the equation in

Let f(x,y)=g(x,y) be the given curve then the equation of Tangent line at (a,b) is given…

The curve x³+y³ = 3xy was first discussed in 1638 by the French philosopher-mathematician René Descartes, who called it the folium (meaning "leaf"). Descartes's scientific colleague Gilles de Roberval called it the jasmine flower. Both men believed incorrectly that the leaf shape in the first quadrant was repeated in each quadrant, giving the appearance of petals of a flower. 12 48 Find an equation of the tangent line at the point 65' 65 y 2 * -2 2 (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.)

The curve x³+y³ = 3xy was first discussed in 1638 by the French philosopher-mathematician René Descartes, who called it the folium (meaning "leaf"). Descartes's scientific colleague Gilles de Roberval called it the jasmine flower. Both men believed incorrectly that the leaf shape in the first quadrant was repeated in each quadrant, giving the appearance of petals of a flower. 12 48 Find an equation of the tangent line at the point 65' 65 y 2 * -2 2 (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 46E

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Question

The curve x^3 + y^3 = 3xy was first discussed in 1638 by the French philosopher-mathematician René Descartes, who called it the folium (meaning "leaf'). Descartes's scientific colleague Gilles de Roberval called it the jasmine flower. Both men believed incorrectly that the leaf shape in the first quadrant was repeated in each quadrant, giving the appearance of petals of a flower.

Find an equation of the tangent line at the point (12/65, 48/65)

(Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give the equation in terms of y and x.)

equation of the tangent line: