Give a parametric description of the form r(u,v) = (x(u,v),y(u,v),z(u,v)) for the frustum of the cone z = x +y, for 3szs6. Select the correct choice below. A. r(u,v) = (6v cos u,3v sin u,v), 0sus 2n, 3 svs6 O B. r(u,v) = (v cos u,v sin u,v), 0sus2n, 3 svs6 OC. r(u,v) = (6v cos u,3v sin u,v), 0sus2n, 3svs6 O D. r(u,v)= sin u,v), 0 sus 2n, 3svs6 cosu, O E. r(u,v) = (2v cos u,2v sin u,v), 0sus2n, 3svs6

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 31E
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Calculas 3 Surface Integral 2 problems

Give a parametric description of the form r(u,v) = (x(u,v),y(u,v),z(u,v)) for the frustum of the cone z =x +y, for 3 sz 6.
Select the correct choice below.
O A. r(u,v) = (6v cos u,3v sin u,v), 0sus 2T, 3svs6
O B. r(u,v)= (v cos u,v sin u,v), 0sus2r, 3svs6
O C. r(u,v) = (6v cos u,3v sin u,v), 0sus 2r, 3svs6
O D. r(u,v)=
C u,
2
sin u,v), 0su 2n, 3<vs6
E. r(u,v)= (2v cos u 2v sin u,v), 0su<2x, 3<v<6
Transcribed Image Text:Give a parametric description of the form r(u,v) = (x(u,v),y(u,v),z(u,v)) for the frustum of the cone z =x +y, for 3 sz 6. Select the correct choice below. O A. r(u,v) = (6v cos u,3v sin u,v), 0sus 2T, 3svs6 O B. r(u,v)= (v cos u,v sin u,v), 0sus2r, 3svs6 O C. r(u,v) = (6v cos u,3v sin u,v), 0sus 2r, 3svs6 O D. r(u,v)= C u, 2 sin u,v), 0su 2n, 3<vs6 E. r(u,v)= (2v cos u 2v sin u,v), 0su<2x, 3<v<6
Give a parametric description of the form r(u,v) = (x(u,v),y(u,v),z(u,v)) for the following surface.
The cap of the sphere x + y+z = 49, for
2
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 2n. Type exact answers in terms
O A. r(u,v)= (7 cos u sin v,7 sin u sin v,7 sin v) for
and
B. r(u,v) = (7 cos u,7 sin u,v) for
<us
and
C. r(u v)= (7 sin u cos v,7 sin u sin v,7 cos u) for
and
D. r(u.v)= (49 cos u,49 sin u,v) for
<us
and
es
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 cap of the sphere x + y+z = 49, for 2 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 2n. Type exact answers in terms O A. r(u,v)= (7 cos u sin v,7 sin u sin v,7 sin v) for and B. r(u,v) = (7 cos u,7 sin u,v) for <us and C. r(u v)= (7 sin u cos v,7 sin u sin v,7 cos u) for and D. r(u.v)= (49 cos u,49 sin u,v) for <us and es
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