The length of curve C highlighted in the drawing corresponds to:

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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Consider the solid Q that is generated in the first octant by the surfaces S₁: x + y² = 4, S₂ y + z = 2,
S3 : x = 0, S4 : y = 0 and S₁: z = 0, shown in the following figure
Z
2
C
X
The length of curve C highlighted in the drawing corresponds to:
A)
[²
4t2 + 1dt
6²
4t2 + 1dt
C) [²
4t² + 2dt
D) S
√4t² + 2dt
B)
Transcribed Image Text:Consider the solid Q that is generated in the first octant by the surfaces S₁: x + y² = 4, S₂ y + z = 2, S3 : x = 0, S4 : y = 0 and S₁: z = 0, shown in the following figure Z 2 C X The length of curve C highlighted in the drawing corresponds to: A) [² 4t2 + 1dt 6² 4t2 + 1dt C) [² 4t² + 2dt D) S √4t² + 2dt B)
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