Calc 3 Spherical Coordinates

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z in spherical

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10 Terms

1

z in spherical

z = ρcosφ

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2

x in spherical

x = ρsinφcosθ

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3

y in spherical

y = ρsinφsinθ

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4

horizontal plane

ρ = asecφ

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5

xy-plane in spherical

φ= π/2

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6

cone in spherical

φ= a

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7

vertical half plane in spherical

θ = a

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8

sphere centered at origin, radius a

ρ = a

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9

dV in spherical

dV = (ρ^2)sinφdρdφdθ

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10

x^2 + y^2 + z^2 = a

ρ^2 = a

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