Find the line integral of F = (6x - 3x) i+3z j+k from (0,0,0) to (1,1,1) over each of the following paths in the accompanying figure. (0,0,0) C1 (1,1,1) a. C4: r(t) =ti+tj+tk, 0sts1 b. C2: r(t) = t i+t? j+t* k, Osts1 c. C3UC4: the path consisting of the line segment from (0,0,0) to (1,1,0) followed by the segment from (1,1,0) to C4 (1,1,1) X (1,1,0) a. The line integral of F over C, is.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 28E
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(6x - 3x) i+ 3z j+ k from (0,0,0) to (1,1,1) over each of the following paths in the
Find the line integral of F =
accompanying figure.
(0,0,0)
(1,1,1)
a. C,: r(t) = ti+tj+tk, 0sts1
2
.4
CA
b. C2: r(t) = t i+t j+t* k, Osts1
C3
c. C3UC4: the path consisting of the line segment from (0,0,0) to (1,1,0) followed by the segment from (1,1,0) to
X
(1,1,1)
(1,1,0)
a. The line integral of F over C, is.
Transcribed Image Text:(6x - 3x) i+ 3z j+ k from (0,0,0) to (1,1,1) over each of the following paths in the Find the line integral of F = accompanying figure. (0,0,0) (1,1,1) a. C,: r(t) = ti+tj+tk, 0sts1 2 .4 CA b. C2: r(t) = t i+t j+t* k, Osts1 C3 c. C3UC4: the path consisting of the line segment from (0,0,0) to (1,1,0) followed by the segment from (1,1,0) to X (1,1,1) (1,1,0) a. The line integral of F over C, is.
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