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Solved: Tangent planes for F(x, y, z) = 0 Find an equation
Chapter 10, Problem 9E(choose chapter or problem)
Tangent planes for F(x,y,z) = 0 Find an equation of the plane tangent to the following surfaces at the given points.
x y+x z+y z-12=0 ;(2,2,2) and \(\left(-1,-2,-\frac{10}{3}\right)\)
Questions & Answers
QUESTION:
Tangent planes for F(x,y,z) = 0 Find an equation of the plane tangent to the following surfaces at the given points.
x y+x z+y z-12=0 ;(2,2,2) and \(\left(-1,-2,-\frac{10}{3}\right)\)
ANSWER:Solution 9EStep 1 of 4:In this problem we need to find an equation of the plane tangent to the surface at the given points .FORMULA: An equation of the tangent plane to the surface f(x , y,z) at the point P(is : …………….(1)Here , ) denotes the partial derivative of ‘f’ with respect to x at () and ) denotes the partial derivative of ‘f’ with respect to y at () .