Suppose the graph of a function f(x, y) is a cone vertically situated with it's tip at the origin. Which of the following best decribes the level curves of f for z = 1, 2, 3? (a) Hyperbolas (b) Parabolas (c) Circles, evenly spaced. (d) Circles, getting closer together as the radius increases. (e) Circles, getting further apart as the radius increases.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 33E
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3. Suppose the graph of a function f(x, y) is a cone vertically situated with it's
tip at the origin. Which of the following best decribes the level curves of f
for z = 1, 2, 3?
(a) Hyperbolas
(b) Parabolas
(c) Circles, evenly spaced.
(d) Circles, getting closer together as the radius increases.
(e) Circles, getting further apart as the radius increases.
Transcribed Image Text:3. Suppose the graph of a function f(x, y) is a cone vertically situated with it's tip at the origin. Which of the following best decribes the level curves of f for z = 1, 2, 3? (a) Hyperbolas (b) Parabolas (c) Circles, evenly spaced. (d) Circles, getting closer together as the radius increases. (e) Circles, getting further apart as the radius increases.
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The following best describes the level curves of f for z=1, 2, 3.

  1. Hyperbolas
  2. Parabolas
  3. Circles, evenly spaced.
  4. Circles, getting closer together as the radius increases.
  5. Circles, getting further apart as the radius increases.
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