Evaluate 1² F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify your results. Jc² (a) C: line segment from (0, 0, 0) to (1, 1, 1) (4z + 4y) dx + (4x - 4z) dy + (4x - 4y) dz (b) C: line segment from (0, 0, 0) to (0, 0, 1) to (1, 1, 1) (c) C: line segment from (0, 0, 0) to (1, 0, 0) to (1, 1, 0) to (1, 1, 1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Evaluate
6²
F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify your results.
Ic
(a)
(4z + 4y) dx + (4x − 4z) dy + (4x - 4y) dz
C: line segment from (0, 0, 0) to (1, 1, 1)
(b) C: line segment from (0, 0, 0) to (0, 0, 1) to (1, 1, 1)
(c) C: line segment from (0, 0, 0) to (1, 0, 0) to (1, 1, 0) to (1, 1, 1)
Transcribed Image Text:Evaluate 6² F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify your results. Ic (a) (4z + 4y) dx + (4x − 4z) dy + (4x - 4y) dz C: line segment from (0, 0, 0) to (1, 1, 1) (b) C: line segment from (0, 0, 0) to (0, 0, 1) to (1, 1, 1) (c) C: line segment from (0, 0, 0) to (1, 0, 0) to (1, 1, 0) to (1, 1, 1)
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