Which of the vector functions below represents the curve of intersection of the following two surfaces: x² +4y²+4z² = 16 and y = x². Select one: ○ a. r (t) = (t, t², O b. r (t) = (t, t², |○ c. r (t) = (t, t₁, ○ d. r (t) = t, -t² = (t, 16++²-4+4 4 1 16-12-4t 4 O e. None of the above ○ f. r (t) = (t, t², √ 16-12+4t 4 16-12-4t 4 4-12-4t4 4

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 22E
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Which of the vector functions below represents the curve of intersection of the following two surfaces: x² +4y²+4z² = 16 and y = x².
Select one:
○ a. r (t) = (t, t²,
O b.
r (t) = (t, t²,
|○ c. r (t) = (t, t₁,
○ d.
r (t) =
t, -t²
= (t,
16++²-4+4
4
1
16-12-4t
4
O e. None of the above
○ f.
r (t) = (t, t², √
16-12+4t
4
16-12-4t
4
4-12-4t4
4
Transcribed Image Text:Which of the vector functions below represents the curve of intersection of the following two surfaces: x² +4y²+4z² = 16 and y = x². Select one: ○ a. r (t) = (t, t², O b. r (t) = (t, t², |○ c. r (t) = (t, t₁, ○ d. r (t) = t, -t² = (t, 16++²-4+4 4 1 16-12-4t 4 O e. None of the above ○ f. r (t) = (t, t², √ 16-12+4t 4 16-12-4t 4 4-12-4t4 4
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