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Consider the Archimedian Spiral r = 3θ 5, θ∈ [0, 2π] plotted below in black. The tangent to the spiral when θ = π is plotted in blue.A parametric form of this spiral can be found by using t = θ as the parameter:Find the point a(π) =a(t) = [(5 3t)cos(t), (5 3t)sin(t)].The Cartesian equation of the tangent to the curve at a(π) isy =The Cartesian equation of the normal to the curve at a(π) isy =Note: the Maple syntax for [π, 0] is [Pi, 0] and you may find concepts from the previous calculus t
Consider the Archimedian Spiral r = 3θ 5, θ∈ [0, 2π] plotted below in bl…
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