Problem 9.Consider the surface4a? + 16y? + 42? = 24|and the point P = (1, 1, 1) on this surface.A. Starting with the equation x =1+ 8t, find equations for y and z which combine with this equation to give parametric equations for the normal line through P.z =Note: Your answers should be expressions of t; e.g. "3x - 4y"B. Find an equation for the tangent plane through P.Note: Your answers should be expressions of x and y; e.g. "3xy + 2y"Note: You can earn partial credit on this problem.

Answered: Image /qna-images/answer/0113b932-2765-42e8-8ae7-8663b5747b94.jpg

Problem 9. Consider the surface 4x² + 16y? + 4z² = 24 and the point P = (1,1,1) on this surface. A. Starting with the equation a =1+ 8t, find equations for y and z which combine with this equation to give parametric equations for the normal line through P. Note: Your answers should be expressions of t; e.g. "3x - 4y" B. Find an equation for the tangent plane through P. Note: Your answers should be expressions of x and y; e.g. "3xy + 2y" Note: You can earn partial credit on this problem.

Problem 9. Consider the surface 4x² + 16y? + 4z² = 24 and the point P = (1,1,1) on this surface. A. Starting with the equation a =1+ 8t, find equations for y and z which combine with this equation to give parametric equations for the normal line through P. Note: Your answers should be expressions of t; e.g. "3x - 4y" B. Find an equation for the tangent plane through P. Note: Your answers should be expressions of x and y; e.g. "3xy + 2y" Note: You can earn partial credit on this problem.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

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