### Problem Statement:Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point.#### Surfaces:1. \( x + y^{2} + 2z = 7 \)2. \( x = 0 \)#### Point:\[ (0, 1, 3) \]---Find the equations for the tangent line. Let \( z = 3 - 2t \).### Solution:\[ x = \_\_\_\_ \quad \text{(Type an expression using } t \text{ as the variable.)} \]

Equation of surfaces at a given point (0,1,3).To Find:The parametric equation for the line tangent…

Answered: Find parametric equations for the line…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.6: Parametric Equations

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Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. Surfaces: x + y² + 2z = 7, Point: (0,1,3) x=0 Find the equations for the tangent line. Let z = 3-2t.