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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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
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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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