316. The graph of a folium of Descartes with equation 2x + 2y -9xy = 0...

Transcribed Image Text:

316. The graph of a folium of Descartes with equation 2x + 2y -9xy = 0 is given in the following graph. -3 -3-2 -1 YA 3 2+ 14 -1 -2- 1 2 3* This work, "Problem Set 3," is a derivative of Calculus Vol. 1 by Gilbert Strang and Edwin "Jed" Herman, OpenStax used under CC BY 4.0. "Problem Set 3" is licensed under CC BY 4.0 by Thomas Edison State University. a. Find the equation of the tangent line at the point (2,1). Graph the tangent line along with the folium. I b. Find the equation of the normal line to the tangent line in a. at the point (2,1). Note: The normal line is perpendicular to the tangent line, review the slope of a perpendicular line. 316. The graph of a folium of Descartes with equation 2x + 2y -9xy = 0 is given in the following graph. -3 -3-2 -1 YA 3 2+ 14 -1 -2- 1 2 3* This work, "Problem Set 3," is a derivative of Calculus Vol. 1 by Gilbert Strang and Edwin "Jed" Herman, OpenStax used under CC BY 4.0. "Problem Set 3" is licensed under CC BY 4.0 by Thomas Edison State University. a. Find the equation of the tangent line at the point (2,1). Graph the tangent line along with the folium. I b. Find the equation of the normal line to the tangent line in a. at the point (2,1). Note: The normal line is perpendicular to the tangent line, review the slope of a perpendicular line.