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categoryرياضيات schoolبكالوريوس event_available2026-07-14

السؤال

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(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 plane parallel to the xy plane is a circle of radius c. If c = 0, the surface is the --Select---; if c < 0, --Select--- with axis the z axis and such that the intersection of this cylinder with any Describe the surface = constant in the cylindrical coordinate system. The surface is a plane perpendicular to the ---Select---. 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--- the plane. If c < 0, the plane is |c| units ---Select--- the -Select- (b) Describe the surface p = constant in the spherical coordinate system. For a positive constant c, the surface is a sphere with radius --Select- Describe the surface = constant in the spherical coordinate system. If c 0, the surface is ---Select--- If c < 0, the surface is The surface is a plane perpendicular to the ---Select---. The intersection with this plane is --Select-- Describe the surface = constant in the spherical coordinate system. If p = 0, the surface is ---Select--- If л, the surface is ---Select--- ÷ If q? the surface is the cone z = a√√√x² + y² + z², where a = cos(q). If q? the surface is the plane z = 0.

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