Tangent planes Find an equation of the plane

Chapter 10, Problem 45E

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QUESTION:

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

\(\sin x y z=\frac{1}{2} ;\left(\pi, 1, \frac{1}{6}\right)\)

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QUESTION:

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

\(\sin x y z=\frac{1}{2} ;\left(\pi, 1, \frac{1}{6}\right)\)

ANSWER:

Solution 45EStep 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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