316. [T] The graph of a folium of Descartes with equation 2x³ + 2y³ - 9xy = 0 is given in the following graph. to YA 3+ 2+ uber -3 -2 -1 1 10 0 -1- -2- -3- 191 1 2 3x mog a. Find the equation of the tangent line at the point (2, 1). Graph the tangent line along with the folium. b. Find the equation of the normal line to the tangent line in a. at the point (2, 1).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Please solve question 316. Thank you
of Expo
licit differentiation to
ion of the tangent
at the indicated
316. [T] The graph of a folium of Descartes with equation
2x³ + 2y³ - 9xy = 0 is given in the following graph.
-3 -2 -1
YA
3-
2+
14
0
-1+
-2+
-3-
+
1
2
317
3x
10
Functiora.
a. Find the equation of the tangent line at the point
(2, 1). Graph the tangent line along with the
folium.
b. Find the equation of the normal line to the tangent
line in a. at the point (2, 1).
317. For the equation x² + 2xy - 3y² = 0,
a.
Find the equation of the normal to the tangent line
at the point (1, 1).
b. At what other point does the normal line in a.
intersect the graph of the equation?
318. Find all points on the graph of y3-27y=x²-90
at which the tangent line is vertical.
Transcribed Image Text:of Expo licit differentiation to ion of the tangent at the indicated 316. [T] The graph of a folium of Descartes with equation 2x³ + 2y³ - 9xy = 0 is given in the following graph. -3 -2 -1 YA 3- 2+ 14 0 -1+ -2+ -3- + 1 2 317 3x 10 Functiora. a. Find the equation of the tangent line at the point (2, 1). Graph the tangent line along with the folium. b. Find the equation of the normal line to the tangent line in a. at the point (2, 1). 317. For the equation x² + 2xy - 3y² = 0, a. Find the equation of the normal to the tangent line at the point (1, 1). b. At what other point does the normal line in a. intersect the graph of the equation? 318. Find all points on the graph of y3-27y=x²-90 at which the tangent line is vertical.
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