Multivariable Last updated Jul 15, 2020 Page ID58567 Save as PDF 60861 3D space 3D space3D coordinate system3D functions3D surfacesCross productCylindrical and Spherical CoordinatesDot productEquations of linesEquation of planesVectorsShow allMultiple IntegralsApplicationsChange of variables in multiple integralsDouble integrals in polarDouble integrals over general regionsDouble integrals over rectanglesIterated integralsSurface areaTriple integralsTriple integrals in cylindrical and spherical cordsShow allmultivariable5856958570585715857258573585745857558576585775857858579585805858158582585835858458585585865858758588Show allPartial DerivativesChain ruleDirectional derivativesGradientLagrange multipliersLimits and continuityMaximum and minimum valuesPartial derivativesTangent planesShow allVector CalculusCurl and DivergenceDivergence TheoremFundamental Theorem Line IntegralsGreens TheoremLine IntegralsStokes TheoremSurface IntegralsVector FieldsShow allVector functionsArc length, curvature, and TNB frameDerivative and integrals of vector functionsParametric surfacesSpace curvesVelocity and acceleration