Find the area of the surface of the half cylinder {(r,0,z): r=6, 0s0Sx, 0szs5} using a parametric description of the surface. ... Set up the integral for the surface area using the parameterization u=0 and v=z. JO du dv 0 0 (Type an exact answers, using x as needed.) The surface area is (Type an exact answer, using x as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.2: Properties Of Division
Problem 53E
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Firnd the area of the surface of the half cylinder {(r,0,z): r=6, 0s0S1, 0SzS5} using a parametric description of the surface.
Set up the integral for the surface area using the parameterization u=0 and v=z.
!!
S SO du dv
(Type an exact answers, using x as needed.)
The surface area is
(Type an exact answer, using x as needed.)
Transcribed Image Text:Firnd the area of the surface of the half cylinder {(r,0,z): r=6, 0s0S1, 0SzS5} using a parametric description of the surface. Set up the integral for the surface area using the parameterization u=0 and v=z. !! S SO du dv (Type an exact answers, using x as needed.) The surface area is (Type an exact answer, using x as needed.)
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