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2110Q Multivariable Calculus

Library of 3D Printed Objects

Saddle

Cartesian Coordinates

Surface 1: 2 components — Surface 1:
2 components

Surface 2: 1 Component — Surface 2:
1 Component

Y<=Sqrt(X)

X<=4-Y²,
Z<=4-X

Z<=3Sqrt(X²+Y²)
Z>=X²+Y²

Z<=Sqrt(X²+Y²)/3
X²+Y²<=9

$Image for X^2+Y^2+Z^2<=16, Z<=Sqrt(X^2+Y^2)$
X²+Y²+Z²<=16,
Z<=Sqrt(X²+Y²)

Cylindrical Coordinates

Cylinder - Cone intersection — Cylinder – Cone₁

(Cylinder - Cone) Union (Cone Intersect Sphere) — (Cylinder – Cone₁) Union (Cone₁ Intersect Sphere)

((Cylinder - Cone) Union (Cone Intersect Sphere) )- Paraboloid — ((Cylinder – Cone₁) Union (Cone₁ Intersect Sphere)) – Cone₂