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(1) Show that planes perpendicular to the x-axis have equations of the form r = a sec 0 in cylindrical coordinates. (2) Show that planes perpendicular to the y-axis have equations of the formr = b csc 0 in cylindrical coordinates. (3) Find an equation of the form r = f(0) in cylindrical coordinates for the plane a.x + by = c, where c 0.

(1) Show that planes perpendicular to the x-axis have equations of the form r = a sec 0 in cylindrical coordinates. (2) Show that planes perpendicular to the y-axis have equations of the formr = b csc 0 in cylindrical coordinates. (3) Find an equation of the form r = f(0) in cylindrical coordinates for the plane a.x + by = c, where c 0.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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(1) Show that planes perpendicular to the x-axis have equations of the form r = a sec 0 in cylindrical coordinates. (2) Show that planes perpendicular to the y-axis have equations of the form r =b csc 0 in cylindrical coordinates. (3) Find an equation of the form r = f(0) in cylindrical coordinates for the plane ax + by= c, where c+ 0.
Transcribed Image Text:(1) Show that planes perpendicular to the x-axis have equations of the form r = a sec 0 in cylindrical coordinates. (2) Show that planes perpendicular to the y-axis have equations of the form r =b csc 0 in cylindrical coordinates. (3) Find an equation of the form r = f(0) in cylindrical coordinates for the plane ax + by= c, where c+ 0.
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