Let S be the level surface with equation F(x, y, z) = 0, where F(x,...

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Let • S be the level surface with equation F(x, y, z) = 0, where F(x, y, z) is a differentiable %3D function •C1 and C2 be the space curves that pass through the point P(1, 2, 1) and are defined by C1: ri(t) = (1+t2, 2+t,1+t), t eR and C2 : r2(s) = (s², s + 1, 2s – 1), s eR • C1 and C2 lie on S, that is, S contains C1 and C2. %3D Q2.1 (Show your work!) 10 Points If F (1, 2, 1) = 4, find VF(1, 2, 1). Please select file(s) Select file(s) Save Answer Q2.2 (Show your work!) 6 Points Find an equation of the tangent plane to the level surface S with equation F(x, y, z) = 0 at the point P(1, 2, 1). E Please select file(s) Select file(s) Let • S be the level surface with equation F(x, y, z) = 0, where F(x, y, z) is a differentiable %3D function •C1 and C2 be the space curves that pass through the point P(1, 2, 1) and are defined by C1: ri(t) = (1+t2, 2+t,1+t), t eR and C2 : r2(s) = (s², s + 1, 2s – 1), s eR • C1 and C2 lie on S, that is, S contains C1 and C2. %3D Q2.1 (Show your work!) 10 Points If F (1, 2, 1) = 4, find VF(1, 2, 1). Please select file(s) Select file(s) Save Answer Q2.2 (Show your work!) 6 Points Find an equation of the tangent plane to the level surface S with equation F(x, y, z) = 0 at the point P(1, 2, 1). E Please select file(s) Select file(s)