Mathematics, 19.08.2020 04:01 live4dramaoy0yf9
Evaluate R C F · dr, where F(x, y, z) = 5xi − 5yj − 3zk and C is given by the vector function r(t) = hsin t, cost, ti, where 0 ≤ t ≤ π.
Answers: 3
![= \int ^{\pi}_{0} ( 10 \ sint \ cost) \ dt - 3 [\dfrac {t^2}{2}]^{\pi}_{0} \ \ dt](/tpl/images/0724/4541/9e8df.png)
![= 10 [\dfrac{sin^2 \ t}{2}]^{\pi}_{0} - \dfrac{3}{2}(\pi)^2](/tpl/images/0724/4541/74f29.png)
![= 10 [\dfrac{sin^2 \ t}{2}]^{\pi}_{0}](/tpl/images/0724/4541/783d1.png)
; we have:
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Evaluate R C F · dr, where F(x, y, z) = 5xi − 5yj − 3zk and C is given by the vector function r(t) =...
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