Describe in words the surface whose equation is given.\phi =\pi /3

Chesley

Chesley

Answered question

2021-09-19

Using words, describe the surface for which the equation is given .ϕ=π3

Answer & Explanation

Viktor Wiley

Viktor Wiley

Skilled2021-09-20Added 84 answers

ϕ=π3 Spherical coordinates
cosϕ=cos(π3)=12 (1)x=ρsinϕcos0
cos2ϕ=14 (2)y=ρsinϕsin0
ρ2cos2ϕ=14ρ2 (3)z=ρcosϕ
z2=14(x2+y2+z2) (4)x2+y2+z2=ρ2
4z2=x2+y2+z2
3z2=x2+y2
3z2=x2+y2 is a double cone, however, since the original equation ϕ=π3>0, its

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