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Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid at (-1,2,-3) is x - 2y + 12z = -41 The parametric form of the line through this point that is perpendicular to that tangent plane is L(t) = (-12t, 2 + 4t,-3-24t) formula that returns a point)

Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid at (-1,2,-3) is x - 2y + 12z = -41 The parametric form of the line through this point that is perpendicular to that tangent plane is L(t) = (-12t, 2 + 4t,-3-24t) formula that returns a point)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 44E
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Entered X-2*y+12*z = -41 Answer Preview x - 2y + 12z = -41 Result Message correct (-1- 2*t,2+4*t,-3- (-1 – 2t, 2 + 4t, −3 – 24t) incorrect 24*t) Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid at (−1, 2, −3) is x − 2y + 12z = −41 The parametric form of the line through this point that is perpendicular to that tangent plane is L(t) = (-1-2t, 2 + 4t,-3-24t) Your answer isn't a parametric line (it looks like a formula that returns a point)
Transcribed Image Text:Entered X-2*y+12*z = -41 Answer Preview x - 2y + 12z = -41 Result Message correct (-1- 2*t,2+4*t,-3- (-1 – 2t, 2 + 4t, −3 – 24t) incorrect 24*t) Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid at (−1, 2, −3) is x − 2y + 12z = −41 The parametric form of the line through this point that is perpendicular to that tangent plane is L(t) = (-1-2t, 2 + 4t,-3-24t) Your answer isn't a parametric line (it looks like a formula that returns a point)
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