Tangent Surfaces In Exercises 47 and 48, show that the surfaces are tangent to each

Chapter 13, Problem 48

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In Exercises 47 and 48, show that the surfaces are tangent to each other at the given point by showing that the surfaces have the same tangent plane at this point.

\(x^{2}+y^{2}+z^{2}-8 x-12 y+4 z+42=0\),        

\(x^{2}+y^{2}+2 z=7, \quad(2,3,-3)\)

Text Transcription:

x^2 + y^2 + z^2 - 8x - 12y + 4z + 42 = 0        

x^2 + y^2 + 2z = 7,     (2, 3, -3)

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