Find the equation of the tangent plane and the normal line to the given surface at the specified point. 24z + a'y + 8y sin z = 2048 Point: (2, 4, 0) (a) Equation of tangent plane. Be sure to enter an equation. (b) Equation of normal line. You will need to express your answer with symmetric equations but in two parts. (1) Symmetric equations with a and y: (1f) Symmetric equations with a and z:

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Find the equation of the tangent plane and the normal line to the given surface at the specified point.
24z
+ a'y + 8y sin z = 2048
Point: (2, 4, 0)
(a) Equation of tangent plane.
Be sure to enter an equation.
(b) Equation of normal line.
You will need to express your answer with symmetric equations but in two parts.
(i) Symmetric equations with a and y:
(ii) Symmetric equations with a and z:
Transcribed Image Text:Find the equation of the tangent plane and the normal line to the given surface at the specified point. 24z + a'y + 8y sin z = 2048 Point: (2, 4, 0) (a) Equation of tangent plane. Be sure to enter an equation. (b) Equation of normal line. You will need to express your answer with symmetric equations but in two parts. (i) Symmetric equations with a and y: (ii) Symmetric equations with a and z:
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