Question

Match the given equation with the verbal description of the surface: A. Half plane B. Cone C. Elliptic or Circular Paraboloid D. Sphere E. Circular Cylinder F. Plane \( \square \) 1. \( r=2 \cos (\theta) \) \( \square \) 2. \( r^{2}+z^{2}=16 \) \( \square \) 3. \( \rho=2 \cos (\phi) \) \( \square \) 4. \( \rho=4 \) \( \square \) 5. \( \rho \cos (\phi)=4 \) \( \square \) 6. \( \phi=\frac{\pi}{3} \)

          Match the given equation with the verbal description of the surface:
A. Half plane
B. Cone
C. Elliptic or Circular Paraboloid
D. Sphere
E. Circular Cylinder
F. Plane
\( \square \) 1. \( r=2 \cos (\theta) \)
\( \square \) 2. \( r^{2}+z^{2}=16 \)
\( \square \) 3. \( \rho=2 \cos (\phi) \)
\( \square \) 4. \( \rho=4 \)
\( \square \) 5. \( \rho \cos (\phi)=4 \)
\( \square \) 6. \( \phi=\frac{\pi}{3} \)

Match the given equation with the verbal description of the surface:
A. Half plane
B. Cone
C. Elliptic or Circular Paraboloid
D. Sphere
E. Circular Cylinder
F. Plane
□ 1. r=2 cos (θ)
□ 2. r^2+z^2=16
□ 3. ρ=2 cos (ϕ)
□ 4. ρ=4
□ 5. ρcos (ϕ)=4
□ 6. ϕ=(π)/(3)

Added by John D.

Calculus Early Transcendentals

Howard Anton, Irl Bivens, Stephen Davis 9th Edition

Chapter 11

Instant Answer

Solved by Expert Rashmi Prakash

Step 1

- This is the equation of a circle in polar coordinates, but since \( r \) can be negative, it represents a circle in the plane. - Match with E. Circular Cylinder. Show more…

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Match the given equation with the verbal description of the surface: A. Half plane B. Cone C. Elliptic or Circular Paraboloid D. Sphere E. Circular Cylinder F. Plane \( \square \) 1. \( r=2 \cos (\theta) \) \( \square \) 2. \( r^{2}+z^{2}=16 \) \( \square \) 3. \( \rho=2 \cos (\phi) \) \( \square \) 4. \( \rho=4 \) \( \square \) 5. \( \rho \cos (\phi)=4 \) \( \square \) 6. \( \phi=\frac{\pi}{3} \)