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.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
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