In Exercises 23–26, (a) use a computer algebra system to calculate the curvature κ of the indicated path x and (b) plot the path x and, separately, plot the curvature κ as a function of t over the indicated interval for t and value(s) of the constants.
x(t) = (2a(1 + cos t) cos t, 2a(1 + cos t) sin t), 0 ≤ t ≤ 2π; a = 1
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