Show that the surfacesz =x2 + y2 and z = 110 (x2 + y2) + 52intersect at (3, 4, 5) and

Chapter 13, Problem 16

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Show that the surfaces

$z=\sqrt{x^{2}+y^{2}}$ and $z=\frac{1}{10}\left(x^{2}+y^{2}\right)+\frac{5}{2}$

intersect at (3, 4, 5) and have a common tangent plane at that point.

Equation Transcription:

$z=\sqrt{{x}^{2}+{y}^{2}}$

$z=\frac{1}{10}({x}^{2}+{y}^{2})+\frac{5}{2}$

Text Transcription:

z=sqrt x^2 +y^2

z=1/10 (x^2 +y^2)+5/2

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