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(a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 3, 4) 12x + 4y + 3= 36 (b) Find a set of symmetric equations for the normal line to the surface at the given poin х — 1 y - 3 _ z - 4 12 4 3 y 4 3 12 Ox + 1 y + 3 z + 4 12 4 3 OX + 1 12 y + 3 z + 4 4 3.

(a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 3, 4) 12x + 4y + 3= 36 (b) Find a set of symmetric equations for the normal line to the surface at the given poin х — 1 y - 3 _ z - 4 12 4 3 y 4 3 12 Ox + 1 y + 3 z + 4 12 4 3 OX + 1 12 y + 3 z + 4 4 3.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 12, (1, 3, 4) 12x + 4y + 3z = 36 (b) Find a set of symmetric equations for the normal line to the surface at the given point. х — 1 у - 3 z- 4 12 4 3 y %3D 12 3 4 O x + 1 12 y + 3 z + 4 4 3 x + 1 y + 3 z + 4 = 12 3 4 Ox - 1 = Y - 3 = 7 - 4
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 12, (1, 3, 4) 12x + 4y + 3z = 36 (b) Find a set of symmetric equations for the normal line to the surface at the given point. х — 1 у - 3 z- 4 12 4 3 y %3D 12 3 4 O x + 1 12 y + 3 z + 4 4 3 x + 1 y + 3 z + 4 = 12 3 4 Ox - 1 = Y - 3 = 7 - 4
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