Evaluate-the-line-integral-space-if-f-r-Zi-Xj-Yk-and-C-is-a-helix-given-by-C-r-t-cost-sint-3t-0-t-2pi-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 153500 by Engr_Jidda last updated on 07/Sep/21

Evaluate the line integral space if f(r)=Zi+Xj+Yk and C is a helix given by C: r(t)=(cost,sint,−3t) 0≤t≤2π

$${Evaluate}\:{the}\:{line}\:{integral}\:{space} \\ $$$${if}\:{f}\left({r}\right)={Zi}+{Xj}+{Yk}\:{and}\:{C}\:{is}\:{a}\:{helix} \\ $$$${given}\:{by}\:{C}:\:{r}\left({t}\right)=\left({cost},{sint},−\mathrm{3}{t}\right)\:\:\mathrm{0}\leqslant{t}\leqslant\mathrm{2}\pi \\ $$

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Evaluate-the-line-integral-space-if-f-r-Zi-Xj-Yk-and-C-is-a-helix-given-by-C-r-t-cost-sint-3t-0-t-2pi-

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