The surface z = x² - y² and the surface ryz = -30 intersect along a curve in R³. Find a vector tangent to this curve at the point P = (-3,2,5). Hint: such a vector is parallel to tangent planes at P to both surfaces.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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The surface z = x² - y² and the surface ryz = -30 intersect along a curve in R³. Find a
vector tangent to this curve at the point P = (-3,2,5). Hint: such a vector is parallel to
tangent planes at P to both surfaces.
Transcribed Image Text:The surface z = x² - y² and the surface ryz = -30 intersect along a curve in R³. Find a vector tangent to this curve at the point P = (-3,2,5). Hint: such a vector is parallel to tangent planes at P to both surfaces.
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