Along the curve r(t) = -i+tj+t² k, 0 st≤ 1, evaluate each of the following integrals. a. (x-y+z)dx b. √(x-y+z)d x-y+z)dy c.√(x-y+z)d C C a. b. C. [(x=y+z)d> C dx=(Type √(x-y+z)dy = (x-y+z)dz = C an integer or a simplified fraction.) (Type an integer or a simplified fraction.) 4 (Type an integer or a simplified fraction.)

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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Along the curve r(t) = -i+tj+t² k, 0≤t≤ 1, evaluate each of the following integrals.
a. √(x-y+z)dx_b.√(x-y+z)dy c. √(x-y+z)dz
C
a.
√(x-y+z)dx
C.
C
b. √(x-y+z)dy = (Type an integer or a simplified fraction.)
4
(Type an integer or a simplified fraction.)
dx=(Type an integer or a simplified fraction.)
√(x−y+z)dz =
C
C
[
Find the work done by F over the curve in the direction of increasing t.
F = 3xyi+2yj-4yzk
r(t) = ti+t²j+tk, 0sts1
Work = (Type an integer or a simplified fraction.)
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Transcribed Image Text:Along the curve r(t) = -i+tj+t² k, 0≤t≤ 1, evaluate each of the following integrals. a. √(x-y+z)dx_b.√(x-y+z)dy c. √(x-y+z)dz C a. √(x-y+z)dx C. C b. √(x-y+z)dy = (Type an integer or a simplified fraction.) 4 (Type an integer or a simplified fraction.) dx=(Type an integer or a simplified fraction.) √(x−y+z)dz = C C [ Find the work done by F over the curve in the direction of increasing t. F = 3xyi+2yj-4yzk r(t) = ti+t²j+tk, 0sts1 Work = (Type an integer or a simplified fraction.) www
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