48 A curve is given by the implicit equation x2 + xy+y2 12 a Find the coordinates of the stationary points on the curve. b Show that at the stationary points, (x+ 2y) =-2. dr2 %3D C Hence determine the nature of the stationary points.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
icon
Related questions
Question
48 A curve is given by the implicit equation
x2 + xy+y2 12
a Find the coordinates of the stationary points on the curve.
d2y
=-2.
b Show that at the stationary points, (x+2y)-
dr2
C Hence determine the nature of the stationary points.
Transcribed Image Text:48 A curve is given by the implicit equation x2 + xy+y2 12 a Find the coordinates of the stationary points on the curve. d2y =-2. b Show that at the stationary points, (x+2y)- dr2 C Hence determine the nature of the stationary points.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage