Compare the level curves for the three functions f(x, y) = x - y², g(x, y) = (x − y²)², and h(x, y) = (x − y²)³. Draw some sketches in the plane. What is the equation of the level curve of f that corresponds to the point x = 2, y = 1?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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5. Compare the level curves for the three functions
f(x, y) = x - y²,
g(x, y) = (x − y²)², and
-
h(x, y) = (x - y²)³.
Draw some sketches in the plane. What is the equation of the level curve of f that corresponds
to the point x = 2, y = 1?
Transcribed Image Text:5. Compare the level curves for the three functions f(x, y) = x - y², g(x, y) = (x − y²)², and - h(x, y) = (x - y²)³. Draw some sketches in the plane. What is the equation of the level curve of f that corresponds to the point x = 2, y = 1?
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