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Find SF dR, where F = x²i + j + yzk, along C: x = t, y = 2t², z = 3t, 0≤t≤1. Let C be the curve given by and let R(t) = cos ti+ sin tj+ek (0 ≤ t ≤T/2) 2x 2y x² + y² x² + y² Express fcFdR in terms of t and evaluate the resulting integral. F = - i+ 5j + 2zk odignol (0)

Find SF dR, where F = x²i + j + yzk, along C: x = t, y = 2t², z = 3t, 0≤t≤1. Let C be the curve given by and let R(t) = cos ti+ sin tj+ek (0 ≤ t ≤T/2) 2x 2y x² + y² x² + y² Express fcFdR in terms of t and evaluate the resulting integral. F = - i+ 5j + 2zk odignol (0)

Advanced Engineering Mathematics
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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Find SF dR, where F = x²i + j + yzk, along C: x = 1, y = 21², z = 31, 0 ≤t≤1. Let C be the curve given by and let R(t) = cos ti+ sin tj+ek (0 ≤t≤T/2) 2x x² + y² 2y x² + y² Express fcF dR in terms of t and evaluate the resulting integral. F = - A i+ j + 2zk badi
Transcribed Image Text:Find SF dR, where F = x²i + j + yzk, along C: x = 1, y = 21², z = 31, 0 ≤t≤1. Let C be the curve given by and let R(t) = cos ti+ sin tj+ek (0 ≤t≤T/2) 2x x² + y² 2y x² + y² Express fcF dR in terms of t and evaluate the resulting integral. F = - A i+ j + 2zk badi
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