3-12 Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. パ+?+= 25; P(-3.0,4) 1.ニ r %3D 4. x²y-4z2 =-7; P(-3, 1,-2) 56; P(-4, 5, 2) バ 7 5. x-xyこ 6. z = x² + y; P(2,-3, 13) 7. z = 4x'y + 2y: P(1,-2, 12) 8. z = xy2; P(2,4. 4) 9. z xe; P(1,0, 1) 10. z = In x2 + y?; P(-1,0, 0) %3D 11. z = ey sin 3x; P(7/6, 0, 1) 12. z = x/2 + y/2; P(4, 9, 5) %3D %3D 26. Find all points on the ellipsoid 2x2+ 3y² +4z = 9 at which the plane tangent to the ellipsoid is parallel to the plane x %3D 2y + 3z = 5. 21. Find all points on the surface x2 + y² z2 1 at which the normal line is parallel to the line through P(1,-2. 1) and Q(4, 0,-1). %3D
3-12 Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. パ+?+= 25; P(-3.0,4) 1.ニ r %3D 4. x²y-4z2 =-7; P(-3, 1,-2) 56; P(-4, 5, 2) バ 7 5. x-xyこ 6. z = x² + y; P(2,-3, 13) 7. z = 4x'y + 2y: P(1,-2, 12) 8. z = xy2; P(2,4. 4) 9. z xe; P(1,0, 1) 10. z = In x2 + y?; P(-1,0, 0) %3D 11. z = ey sin 3x; P(7/6, 0, 1) 12. z = x/2 + y/2; P(4, 9, 5) %3D %3D 26. Find all points on the ellipsoid 2x2+ 3y² +4z = 9 at which the plane tangent to the ellipsoid is parallel to the plane x %3D 2y + 3z = 5. 21. Find all points on the surface x2 + y² z2 1 at which the normal line is parallel to the line through P(1,-2. 1) and Q(4, 0,-1). %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 30E
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