(c) Find the equation of the tangent plane to S at the location where x = a and y = 0 (d) If S is projected onto the x – y plane, what is the shape of the resulting projection

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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(c) Find the equation of the tangent plane to S at the location where x = a and y = 0.
(d) If S is projected onto the x – y plane, what is the shape of the resulting projection?
Transcribed Image Text:(c) Find the equation of the tangent plane to S at the location where x = a and y = 0. (d) If S is projected onto the x – y plane, what is the shape of the resulting projection?
A surface S is described parametrically by
x = h cos 0,
y = h sin 0,
z = a – h,
(0 < h < a, 0<o< 27),
where a is a positive constant.
Transcribed Image Text:A surface S is described parametrically by x = h cos 0, y = h sin 0, z = a – h, (0 < h < a, 0<o< 27), where a is a positive constant.
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