Solved: Tangent planes Find an equation of the plane

Chapter 10, Problem 44E

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QUESTION:

Tangent planes  Find an equation of the plane tangent to the following surfaces at the given point

(x+z) /(y-z)=2 ;(4,2,0)

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QUESTION:

Tangent planes  Find an equation of the plane tangent to the following surfaces at the given point

(x+z) /(y-z)=2 ;(4,2,0)

ANSWER:

Solution 44E

Step 1 of 3:

In this problem we need to find an equation of the plane tangent to the  surface  at the given point .

FORMULA:  An equation  of the tangent plane to the surface z = f(x , y) at the point P(is :

Z -  = ()) + ()) …………….(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 () .

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