(1 point) If C is the curve given by r (t) = (1+4 sin t) i + (1+1 sinĀ² t) j + (1+5 sinĀ³ t) k, 0 ? t ? frac{?}{2} and F is the radial vector field F (x, y, z) = xi + yj + zk, compute the work done by F on a particle moving along C.
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Step 1
First, we need to find the derivative of the given curve r(t). r(t) = (1 + 4sin(t))i + (1 + sin^2(t))j + (1 + 5sin^2(t))k dr/dt = (4cos(t))i + (2sin(t)cos(t))j + (10sin(t)cos(t))k Show moreā¦
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