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rosehyena631Lv1
6 Nov 2019
4.2 #3
EXAMPLE 4 If an object moves in a straight line with position function s = f(t), then the average velocity between t = a and t = b is f(b) - f(a)/ b - a and the velocity at t = c is f'(c). Thus the Mean Value Theorem tells us that at some time t = c between a and b the instantaneous velocity f'(C) is equal to the average velocity. For instance, if a car traveled 140 km in 2 hours, then the speedometer must have readkm/h at least once. In general, the Mean Value Theorem can be interpreted as saying that there is a number at which the instantaneous rate of change is equal to the average rate of change over an interval. Show transcribed image text
4.2 #3
EXAMPLE 4 If an object moves in a straight line with position function s = f(t), then the average velocity between t = a and t = b is f(b) - f(a)/ b - a and the velocity at t = c is f'(c). Thus the Mean Value Theorem tells us that at some time t = c between a and b the instantaneous velocity f'(C) is equal to the average velocity. For instance, if a car traveled 140 km in 2 hours, then the speedometer must have readkm/h at least once. In general, the Mean Value Theorem can be interpreted as saying that there is a number at which the instantaneous rate of change is equal to the average rate of change over an interval.
Show transcribed image text Jarrod RobelLv2
19 Jul 2019