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5. For each of the following line integrals: • Determine if the Fundamental Theorem of Line Integrals (FTLI) applies. • If the FTLI applies, then find the potential function and use this to evaluate the line integral. . If the FTLI does not apply, then explain why. (a) The line integral of F = (yz, xz, y) along the helix of radius 3 given by r(t) = (3 sin(t), 3 cos(t), t) as -π

5. For each of the following line integrals: • Determine if the Fundamental Theorem of Line Integrals (FTLI) applies. • If the FTLI applies, then find the potential function and use this to evaluate the line integral. . If the FTLI does not apply, then explain why. (a) The line integral of F = (yz, xz, y) along the helix of radius 3 given by r(t) = (3 sin(t), 3 cos(t), t) as -π

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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5. For each of the following line integrals: • Determine if the Fundamental Theorem of Line Integrals (FTLI) applies. • If the FTLI applies, then find the potential function and use this to evaluate the line integral. . If the FTLI does not apply, then explain why. (a) The line integral of F = (yz, xz, y) along the helix of radius 3 given by r(t) = (3 sin(t), 3 cos(t), t) as -π <t≤π. (b) The line integral of F = (sin(yz), xz cos(yz) - z sin(y), xy cos(yz) + cos(y)) along the line segment from (0, π, 3) to (2, -1, 2π).
Transcribed Image Text:5. For each of the following line integrals: • Determine if the Fundamental Theorem of Line Integrals (FTLI) applies. • If the FTLI applies, then find the potential function and use this to evaluate the line integral. . If the FTLI does not apply, then explain why. (a) The line integral of F = (yz, xz, y) along the helix of radius 3 given by r(t) = (3 sin(t), 3 cos(t), t) as -π <t≤π. (b) The line integral of F = (sin(yz), xz cos(yz) - z sin(y), xy cos(yz) + cos(y)) along the line segment from (0, π, 3) to (2, -1, 2π).
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