Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point: Surfaces: x +y? + 2z = 4, x = 1 Point: (1, 1, 1)

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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2. Find parametric equations for the line tangent to the curve of intersection of the surfaces at
the given point:
Surfaces:
x + y? + 2z = 4,
x = 1
Point:
(1, 1, 1)
Hint: The line should be perpendicular to both the surfaces, and hence in the direction of the
"cross product' of their respective gradients.
Transcribed Image Text:2. Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point: Surfaces: x + y? + 2z = 4, x = 1 Point: (1, 1, 1) Hint: The line should be perpendicular to both the surfaces, and hence in the direction of the "cross product' of their respective gradients.
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