(1) Show that planes perpendicular to the x-axis have equations of the form r = a sec 0 in cylindrical coordinates.

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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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