Please provide detailed explanation.

2. Take a circle of radius 5, (a) For a change in position along the circle, given by an angle 9 at the center of the circle, what angle will the tangent vector change by? (b) Find the arc-length along the circle between those two points, and divide the angular difference in the tangent vectors by this. (c) If the circle is dened by the vector-valued function Ht) = (5 cos t, 5 sin t), nd the unit tangent vector to the function T(t). ((1) Find the change in the unit tangent vector between t = 0 and t = 7r/4, and divide this by the arc-length of the curve between these two points