8. Which of the following integrals correctly computes xy + z² ds if C is the parametrized curve x = t², y = 2t, z=t, 0 ≤ t ≤ 1? A. B. C. D. E. √² (4t+1)√14 +5t² dt S (21³ +1²) √√5 dt 6 (2² (21³ +1²) √√14 + 5t² dt √ (4t+1)√4t² +5dt S √² (21²³ +1²) √41²+5 dt

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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8. Which of the following integrals correctly computes xy + z² ds if C is the parametrized
curve x = t², y = 2t, z=t, 0 ≤ t ≤ 1?
A.
B.
C.
D.
E.
√² (4t+1)√14 +5t² dt
S (21³ +1²) √√5 dt
6 (2²
(21³ +1²) √√14 + 5t² dt
√ (4t+1)√4t² +5dt
S
√² (21²³ +1²) √41²+5 dt
Transcribed Image Text:8. Which of the following integrals correctly computes xy + z² ds if C is the parametrized curve x = t², y = 2t, z=t, 0 ≤ t ≤ 1? A. B. C. D. E. √² (4t+1)√14 +5t² dt S (21³ +1²) √√5 dt 6 (2² (21³ +1²) √√14 + 5t² dt √ (4t+1)√4t² +5dt S √² (21²³ +1²) √41²+5 dt
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