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Identify the surface with the given vector equation.Solution or ExplanationClick to View Solutionr(u, v) = 3 sin ui+ 4 cos uj+ vk, 0 ≤ v≤ 4hyperbolic paraboloidcircular paraboloid planeelliptic cylindercircular cylinderr(s, t) = s, t, t2− s2circular cylinderplane elliptic cylindercircular paraboloidhyperbolic paraboloid
13-11-18HW #263/84.1/1 points | Previous AnswersSCalcET7 16.6.013.Match the equation with its graph.IIIIIIIVVVI Determine which families of grid curves have uconstant and which have vconstant.uconstantr(u, v) = ucos vi+ usin vj+ vk
13-11-18HW #264/8vconstantSolution or ExplanationClick to View Solutioneach grid curve lies in a plane z= kythat includes the x-axiseach grid curve is a helix each grid curve is a circle of radius (1 − |u|) in the horizontal plane z= ueach grid curve is a vertically oriented circleeach grid curve is a circle of radius |u| in the horizontal plane z= sin uthe grid curves lies in the vertical plane y= (tan3u)xthe grid curves lies in a horizontal planeeach grid curve is a circle contained in the vertical plane x= sin vparallel to the yz-plane the grid curves are the spiral curvesa straight line in the plane z= vwhich intersects the z-axisthe vertical planes y= kxthrough the z-axisthe grid curves run vertically along the surface in the planes y= kx