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(Solved): Identify the correct statements about rates of change. It is possible for the average rate of change ...
Identify the correct statements about rates of change. It is possible for the average rate of change to be equal to the instantaneous rate of change. The instantaneous velocity at
t_(0)is equal to the limit as
\Delta t->0of the average velocity. The average rate of change of the function
s(t)over the interval
t_(0),t_(1)is
(s(t_(0))-s(t_(1)))/(t_(1)-t_(0)). The average velocity over the interval
t_(0),t_(1)is the slope of the tangent line at
t_(0). The instantaneous velocity of an object is equivalent to the instantaneous rate of change of the position function.
