Answered: Identify the type of parametric surface…

Identify the type of parametric surface produced by the parametric vector function r(u, v) = (2 sin u cos v, 2 sin u sin v, 2 cos u) with 0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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Identify the type of parametric surface produced by the parametric vector function

r(u,v)=⟨2sinucosv,2sinusinv,2cosu⟩r(u,v)=⟨2sin⁡ucos⁡v,2sin⁡usin⁡v,2cos⁡u⟩ with 0≤u≤π2,0≤v≤π20≤u≤π2,0≤v≤π2.

Identify the type of parametric surface produced by the parametric vector function
r(u, v) = (2 sin u cos v, 2 sin u sin v, 2 cos u) with 0 <u <
0<uく
2
This surface is the portion of a sphere of radius
lying .
above the xy-plane
below the xy-plane
in the first octant
O in the octant where x and z are positive but y is negative

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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