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Question: vector calculus please fill in all blanks...

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vector calculus.

please fill in ALL blanks.

(a) Describe the surface r = constant in the cylindrical coordinate system. For a positive constant c, the surface is a cylinder perpendicular to the xy plane # with axis the z axis and such that the intersection of this cylinder with any plane parallel to the y plane # is a circle of radius c. If c = 0, the surface is the Select fc< -Select Describe the surface 0-constant in the cylindrical coordinate system. The surface is a plane perpendicular to the-Select-쉬 . The intersection with this plane is-Select- Describe the surface z-constant in the cylindrical coordinate system For a positive constant c the surface is a plane parallel to the Select- c units Select- 이 the plane. If c the plane is c units 9. Select t the Select (b) Describe the surface ρ-constant in the spherical coordinate system. For a positive constant c, the surface is a sphere with radius If c 0, the surface is -Select- #1 . If c < 0, the surface is -Select- Describe the surface 0 constant in the spherical coordinate system The surface is a plane perpendicular to the -Select-#. The intersection with this plane is-Select-▼ · Describe the surface φ-constant in the spherical coordinate system. If φ 0, the surface is Select . If φ π, the surface is Select 수 If φ ? the surface sche cones αν ο + rz·r where α . 2 -cos(p). If ф 71-, the surface is the plane z-0

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