Please solve correctly in 10 minutes and get the thumbs up please P We learned in class that if f(r, y) is a function of two variables, thatVf(a, b) is perpendicular / normal to the tangent line of the level curve f(x, y)k, where k =Vg(a, b, c) is normal to the tangent plane of the level surface g(x, y, z) = k, wherek = g(a, b, c). Use this information to easily find an equation of the tangent plane tothe surface ry – y² + 2x2z = 4 at the point (1, 2, 3).f(a, b). Similarly, if g(x, y, z) is a function of three variables, then%3D-

Answered: Image /qna-images/answer/c9804253-b813-4ef4-99dd-e047784efaad.jpg

We learned in class that if f(x, y) is a function of two variables, that Vf(a, b) is perpendicular / normal to the tangent line of the level curve f(x, y) k, where k = f(a, b). Similarly, if g(r, y, z) is a function of three variables, then Vg(a, b, c) is normal to the tangent plane of the level surface g(r, y, z) = k, where k = g(a, b, c). Use this information to easily find an equation of the tangent plane to the surface ry – y² + 2x²z = 4 at the point (1, 2, 3). %3D %3D

We learned in class that if f(x, y) is a function of two variables, that Vf(a, b) is perpendicular / normal to the tangent line of the level curve f(x, y) k, where k = f(a, b). Similarly, if g(r, y, z) is a function of three variables, then Vg(a, b, c) is normal to the tangent plane of the level surface g(r, y, z) = k, where k = g(a, b, c). Use this information to easily find an equation of the tangent plane to the surface ry – y² + 2x²z = 4 at the point (1, 2, 3). %3D %3D

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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