Please Send The Answers Within 1 Hour Thanks Follow The Steps 1 (13.07 KiB) Viewed 21 times
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Q4 (10 points) Find the work done by the force field F(x, y, z) = xi +yj – 5zk - on an object moving along the curve C: r(t) = 2 costi + 2 sint j+tk, 0<t<2m.
In Exercises 30-33 use the fact that in polar coordinates small lengths along a curve can be expressed in the form ds = √²+ (dr/d0)² do (see formula 9.14) to evaluate the line integral. * 30. * ds, where C is the first quadrant part of the limaçon lc √x² + y² r = 2-sin starting from the point on the x-axis (x² + y²) ds, where C is the cardioid r = 1 + cos 2 dr - √ ₁² + (27) ² de 30. With ds = Lova²³ +5² de (2-sin 0)2+(- cos 0)2 do √5-4 sin de, we obtain r cos स/2 √²1 re 1 0/6 = 4 min 6:40 = {-1 (5-4 sim 0) ¹/2}/²_5√6-1 = do = - 7" 0
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