Calculus 3: Cylinders and quadric surfaces
Collapse
All Calculus 33D SpaceVector FunctionsDot and cross productEquations of lines and planesParametric curves, conic sectionsTangent vectors and arc lengthCylinders and quadric surfacesIntegrals of vector functionsArc length and curvatureMultivariable functionsSurface parameterizationPartial derivativesLinearization, chain rule, gradientTangent planes and linear approximationsOptimizationLagrange multipliersDouble integralsTriple integralsChanging coordinates for integrationSurface areaVector fields, divergence, and curlLine integralsGreen's TheoremFluxStokes' TheoremDivergence TheoremComplex numbers
AllNeeds AttentionEasyMediumHardVideo
Find the equation of a quadric surface using the general form .
Graph the hyperboloid of two sheets and explain why it does not pass through the origin, using its equation with two negative terms.