What are the steps to finding the parametric equations of the tangent line l to C at the point corresponding to t=π/8?
𝐫(t) = 3cos(2t)î + 2tĵ + 3sin(3t)k w/ t∈[0, 2π] (r in meters, t in seconds)
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𝐫(t) = 3cos(2t)î + 2tĵ + 3sin(3t)k w/ t∈[0, 2π] (r in meters, t in seconds)
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You can calculate the tangent line by taking the derivative of r(t)
The tangent line is dr / dt = -6 cos (2t) i + 2 j + 9 cos(3t) k
now put t = pi/8 and calculate the derivative line at that specific point.