Give a parametric description of the form r(u,v) = (x(u,v). y(u.v).z(u,v)) for the following surface. The portion of the cylinder x? +y? = 9 in the first octant, for 0szs3 Select the correct choice below and fill in the answer boxes to complete your choice. (Type any angle measures in radians. Use angle measures greater than or equal to 0 and less than 2x. Type exact answers in terms of x.) O A. r(u,v) = (3 sin u cos v,3 sin u sin v,3 cos u), for O B. r(u,v) = (9 sin u cos v,9 sin u sin v,9 cos u), for Sus and Svs Sus and SVS Oc. r(u,v) = (3 cos u,3 sin u, v) , for Sus and SVS O D. r(u,v) = (3 sin u,3 cos v,v), for sus and

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 53E
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Give a parametric description of the form r(u,v) = (x(u,v).y(u,v).z(u,v)) for the following surface.
The portion of the cylinder x? +y? = 9 in the first octant, for 0szs3
Select the correct choice below and fill in the answer boxes to complete your choice.
(Type any angle measures in radians. Use angle measures greater than or equal to 0 and less than 2t. Type exact answers in terms of x.)
O A. r(u,v) = (3 sin u cos v,3 sin u sin v,3 cos u), for
and
Sus
Svs
O B. r(u,v) = (9 sin u cos v,9 sin u sin v,9 cos u), for
Sus
and
SVS
OC. r(u,v) = (3 cos u,3 sin u,v), for
Sus
and
SVS
O D. r(u,v) = (3 sin u,3 cos v,v), for
sus
and
Transcribed Image Text:Give a parametric description of the form r(u,v) = (x(u,v).y(u,v).z(u,v)) for the following surface. The portion of the cylinder x? +y? = 9 in the first octant, for 0szs3 Select the correct choice below and fill in the answer boxes to complete your choice. (Type any angle measures in radians. Use angle measures greater than or equal to 0 and less than 2t. Type exact answers in terms of x.) O A. r(u,v) = (3 sin u cos v,3 sin u sin v,3 cos u), for and Sus Svs O B. r(u,v) = (9 sin u cos v,9 sin u sin v,9 cos u), for Sus and SVS OC. r(u,v) = (3 cos u,3 sin u,v), for Sus and SVS O D. r(u,v) = (3 sin u,3 cos v,v), for sus and
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