Find an equation for the plane tangent to the cone r(r,0) = (r cos 0) i + (r sin 0) j+rk, r20, 0s0s 2n, at the point Po (- V2,/2,2) corresponding to (r,0) = | 2, (24) 3n Then find a Cartesian equation for the surface and sketch the surface and tangent plane together. Click here for more information about the plane tangent to a parametrized surface. ..... The tangent plane at a point Po(x,y,z) on a parametrized surface r(r,0) = (r cos 0)i + (r sin 0)j + r k is the plane through P, normal to the vector r, x rg, the cross product of the tangent vectors at Po. What is the equation of the tangent plane? D-0 (Type an expression using x, y, and z as the variables. Type an exact answer, using radicals as needed.)

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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Find an equation for the plane tangent to the cone
r(r,0) = (r cos 0) i + (r sin 0) j+ r k, r20, 0<0< 2x,
at the point Po (- 2,12,2) corresponding to (r,0) = | 2,
3n
Then find a Cartesian equation for the surface and sketch the surface and tangent plane together.
4
Click here for more information about the plane tangent to a parametrized surface.
The tangent plane at a point Po(x,y,z) on a parametrized surface r(r,0) = (r cos 0)i + (r sin 0)j + r k is the plane through Po normal to the vector r, xro, the cross
product of the tangent vectors at Po-
What is the equation of the tangent plane?
= 0
(Type an expression using x, y, and z as the variables. Type an exact answer, using radicals as needed.)
Transcribed Image Text:Find an equation for the plane tangent to the cone r(r,0) = (r cos 0) i + (r sin 0) j+ r k, r20, 0<0< 2x, at the point Po (- 2,12,2) corresponding to (r,0) = | 2, 3n Then find a Cartesian equation for the surface and sketch the surface and tangent plane together. 4 Click here for more information about the plane tangent to a parametrized surface. The tangent plane at a point Po(x,y,z) on a parametrized surface r(r,0) = (r cos 0)i + (r sin 0)j + r k is the plane through Po normal to the vector r, xro, the cross product of the tangent vectors at Po- What is the equation of the tangent plane? = 0 (Type an expression using x, y, and z as the variables. Type an exact answer, using radicals as needed.)
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