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In: Advanced Math

Show that the surfaces are tangent to each other at the given point by showing that...

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. x2 + y2 + z2 − 20x − 16y + 2z + 115 = 0, x2 + y2 + 6z = 17, (5, 4, −4)

Both surfaces have the tangent plane of (answer )

at (5, 4, −4), therefore they are tangent to each other at this point.

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