3. (a) Show that the two surfaces S1 : z = xy and S2 : z =3x^2/4 - y^2 perpendicularly at the point (2, 1, 2).
3. (a) Show that the two surfaces S1 : z = xy and S2 : z =3x^2/4 - y^2 perpendicularly at the point (2, 1, 2).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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3. (a) Show that the two surfaces S1 : z = xy and S2 : z =3x^2/4 - y^2
perpendicularly at the point (2, 1, 2).
b)
Show that every tangent plane to the cone z^2 = x^2+y^2 must pass through the origin.
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