Find the work done by F over the curve in the direction of increasing t. Work means line integral F =y/z i +x/z j +x/y k; C: r(t) = t 9 i + t 8 j + t 4 k, 0 ≤ t ≤ 1 a) W = 21 b) W = 1 c) W = 0 d) W =137/65

Find the work done by F over the curve in the direction of increasing t. Work means line integral F =y/z i +x/z j +x/y k; C: r(t) = t 9 i + t 8 j + t 4 k, 0 ≤ t ≤ 1 a) W = 21 b) W = 1 c) W = 0 d) W =137/65

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Find the work done by F over the curve in the direction of increasing t. Work means line integral

F =y/z i +x/z j +x/y k; C: r(t) = t ⁹ i + t ⁸ j + t ⁴ k, 0 ≤ t ≤ 1