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Curvature equation
If a curve resides only in the xy-plane and is defined by the function y = f(t) then there is an easier formula for the curvature. We can parameterize the curve by r(t) = tˆi + f(t)ˆj.
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Well, since we are given the curve in vector form, we will use our first curvature formula of: κ = ‖ r → ′ ( t) × r → ′ ′ ( t) ‖ ‖ r → ′ ( t) ‖ 3. So, first we will need to calculate r → ′ ( t)
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