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Consider the surface O3z+3y-2z=0 O 34z + 7y-12z = 0 O 3x+3y-2z=147 What is the equation of the tangent plane to the surface at the point P(3,3,-2)? O 32³ +3zy+zyz2 = 0 O 34z +7y-12z = 147 O What is the equation of the line normal to the surface at the point P(3,3,-2)? 3 -0-0-0) = +t 21 2 3 -(0)-C) =t O 102 21 -36 +t 102 -36 323 3 3 +3zy+zyz² = 144. 2

Consider the surface O3z+3y-2z=0 O 34z + 7y-12z = 0 O 3x+3y-2z=147 What is the equation of the tangent plane to the surface at the point P(3,3,-2)? O 32³ +3zy+zyz2 = 0 O 34z +7y-12z = 147 O What is the equation of the line normal to the surface at the point P(3,3,-2)? 3 -0-0-0) = +t 21 2 3 -(0)-C) =t O 102 21 -36 +t 102 -36 323 3 3 +3zy+zyz² = 144. 2

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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Consider the surface What is the equation of the tangent plane to the surface at the point P(3,3,-2)? O 32³ +3zy+zyz² = 0 O 34z + 7y - 12z = 147 O 3x+3y-2z = 0 O 34z + 7y-12z = 0 O 3x+3y-2z=147 What is the equation of the line normal to the surface at the point P(3,3,-2) ? 3 -0-0)-C) 3 +t 21 -2 O O O NC O =t No wo wo -2 102 -0-0-0) 21 +t 3 -36 102 102 =1 21 -36 -36 3 2 3 -O-C-(C) <=8 3 +t 102 32³ +3zy+zyz² = 144. 21 -36
Transcribed Image Text:Consider the surface What is the equation of the tangent plane to the surface at the point P(3,3,-2)? O 32³ +3zy+zyz² = 0 O 34z + 7y - 12z = 147 O 3x+3y-2z = 0 O 34z + 7y-12z = 0 O 3x+3y-2z=147 What is the equation of the line normal to the surface at the point P(3,3,-2) ? 3 -0-0)-C) 3 +t 21 -2 O O O NC O =t No wo wo -2 102 -0-0-0) 21 +t 3 -36 102 102 =1 21 -36 -36 3 2 3 -O-C-(C) <=8 3 +t 102 32³ +3zy+zyz² = 144. 21 -36
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