Decide whether the level surfaces of each function are concentric circular cylinders, concentric spheres, cones, elliptical paraboloids, hyperbolic paraboloids, hyperboloids of one sheet, hyperboloids of two sheets, parabolic cylinders, or parallel planes. ? ? ? ? ? ? ? ? 1. f(x, y, z) = 4x² + y² - Z 2. f(x, y, z) = sin(√√6(x² + y² + z²)) 3. f(x, y, z) = cos(6x + y + z) 4. f(x, y, z) = x + y = 2z 5. f(x, y, z) = ln(√√/y² + z²) 46. f(x, y, z) = e¯(x²+y²+z²) 7. f(x, y, z) = 3x² - y 8. f(x, y, z) = 9y² - 3x² - z

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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Decide whether the level surfaces of each function are concentric circular cylinders,
concentric spheres, cones, elliptical paraboloids, hyperbolic paraboloids, hyperboloids of one
sheet, hyperboloids of two sheets, parabolic cylinders, or parallel planes.
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1.
f(x, y, z) = 4x² + y² - Z
2.
f(x, y, z) = sin(√√/6(x² + y² + z²))
3. f(x, y, z) = cos(6x + y + z)
4. f(x, y, z) = x + y = 2z
5. f(x, y, z) = ln(√² + z²)
6. f(x, y, z) = e-(x²+²+²)
7. f(x, y, z) = 3x² - y
8. f(x, y, z) = 9y² − 3x² − z
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Transcribed Image Text:Decide whether the level surfaces of each function are concentric circular cylinders, concentric spheres, cones, elliptical paraboloids, hyperbolic paraboloids, hyperboloids of one sheet, hyperboloids of two sheets, parabolic cylinders, or parallel planes. ? ? ? ? ? ? ? ? 1. f(x, y, z) = 4x² + y² - Z 2. f(x, y, z) = sin(√√/6(x² + y² + z²)) 3. f(x, y, z) = cos(6x + y + z) 4. f(x, y, z) = x + y = 2z 5. f(x, y, z) = ln(√² + z²) 6. f(x, y, z) = e-(x²+²+²) 7. f(x, y, z) = 3x² - y 8. f(x, y, z) = 9y² − 3x² − z -
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