Question: In this exercise, consider a particle moving on a circular path of radius b described by r(t) = b cos(wt)i + b sin(wt)j, where w

In this exercise, consider a particle moving on a circular path of radius b described by r(t) = b cos(wt)i + b sin(wt)j, where w = du/dt is the constant angular velocity. (a) Calculate the speed of the particle. Itvil = (b) Use a graphing utility In parametric mode to graph the circle for b = 6. Try different values of w Does the graphing utility draw the circle faster for greater values of w? O Yes, greater values of omega are drawn faster. O No, greater values of omega are drawn at the same speed. O No, greater values of omega are drawn slower. Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = +3i + 3taj, t = 1 T(1) =

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