13) Answer the question shown in the images 13) Below is a curve C, which is the intersection between the surfacesS1: z = 9 - y? and S2: z - 3x + 3y = 9. A possible way for the parameterization of the curve C corresponds to:(9t – t2,t, z(t) ), con 0 < t < 9А) г(t) —33t – t2,t, z(t) ), con 0

In the three dimensional system, a parameter(usually "t") is used to describe the variables x, y and…

Answered: A possible way for the parameterization…

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A possible way for the parameterization of the curve C corresponds to: (9t – t² A) r(t) = , t, z(t) 3 con 0

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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Question

13) Answer the question shown in the images

13) Below is a curve C, which is the intersection between the surfaces
S1: z = 9 - y? and S2: z - 3x + 3y = 9.

A possible way for the parameterization of the curve C corresponds to:
(9t – t2
,t, z(t) ), con 0 < t < 9
А) г(t) —
3
3t – t2
,t, z(t) ), con 0 <t< 3
B) r(t) =
3
t+ V9 – t² – 3
-, y(t), t
C) r(t) =
con 0 <t< 3
3
-t – 3/9 – t+9
D) r(t) =
y(t),t ), con 0 <t<9
3

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