Exercises 15–17, find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. 15. Surfaces: x + y2 + 2z = 4, x = 1 Point: (1, 1, 1) 16. Surfaces: xyz = 1, x2 + 2y2 + 3z2 = 6 Point: (1, 1, 1) 17. Surfaces: x2 + 2y + 2z = 4, y = 1 Point: (1, 1, 1/2)

Trigonometry (MindTap Course List)
10th Edition
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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 Exercises 15–17, find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point.

15. Surfaces: x + y2 + 2z = 4, x = 1 Point: (1, 1, 1)

16. Surfaces: xyz = 1, x2 + 2y2 + 3z2 = 6 Point: (1, 1, 1)

17. Surfaces: x2 + 2y + 2z = 4, y = 1 Point: (1, 1, 1/2)

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