Describe in words the surface whose equation is given. \phi = \frac{\pi}{4} (select the correct answer) 1)the top half of the right circular cone with

ankarskogC 2021-06-07 Answered
Describe in words the surface whose equation is given. ϕ=π4 (select the correct answer)
1)the top half of the right circular cone with vertex at the origin and axis the positive z-axis
2)the plane perpendicular to the xz-plane passing through z = x, where x0
3)the plane perpendicular to the xy-plane passing through y = x, where x0
4)the base of the right circular cone with vertex at the origin and axis the positive z-axis
5)the plane perpendicular to the yz-plane passing through z = y, where y0
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Expert Answer

Ayesha Gomez
Answered 2021-06-08 Author has 104 answers
Jeffrey Jordon
Answered 2021-09-30 Author has 2027 answers

The speherial coordinates are

x=Rcosθsinϕ=Rcosθ2

y=Rsinθsinϕ=Rsinθ2

z=Rcosϕ=R2

x2+y2=R22=z2

z2=x2+y2

this is coneat vertex origin and axis as z-axis

z2=x2+y2z=x2+y2 (upper) and z=x2+y2 (lower)

z=x2+y2 (upper) we  have only upper part of cone

if ϕ=3π4 represents lower part of cone correction option is 1

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