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Dovator [93]
3 years ago
8

Match the given equation with the verbal description of the surface: A. Circular Cylinder B. Plane C. Cone D. Half plane E. Sphe

re F. Elliptic or Circular Paraboloid

Physics
1 answer:
sdas [7]3 years ago
8 0

Answer:

A. Circular Cylinder  

            r=4                                  

     \sqrt{x^{2}+y^{2}  } =4        independent from z

B. Plane                  

ρ cos φ ( )=4                                  

spherical coordinates                                      

                    z=4

C. Cone                    

φ = π/3

φ spherical coordinates

D. Half Plane              

θ = π/3                                    

Cylindrical Coordinates, do not have portion in 3rd quadrant that why its only half a plane.

E. Sphere:

ρ =2cos  φ ( )    

Spherical Coordinates

ρ =2×z/ρ

p^{2} =2z

x^{2} +y^{2} +z^{2} = p^{2}  

x^{2} +y^{2}+z-1^{2}=1

F. Elliptic or Circular Parabola

z=r^{2}                                    

z=r^{2} = x^{2} +y^{2}                                      

z= y^{2}

note: pics are attached

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