MATH0801 Lecture Notes - Lecture 7: Farad, Intermediate Value Theorem, Exclusive Or
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2. 1 rates of change and limits. The average rate of change of the function y=f x over the interval [ x1 , x2] is. X f x 2 f x 1 x2 x 1. Find the average rate of change of the function y=x 2 over the interval (i) [ 1 ,1 ] (ii) [ 2 , 0] (iii) [ 1 , 2] (i) The position of a car is given by the values in the following table: t (seconds) s (feet) Find the average velocity for the time period between: (i) t=2 and t=5 (ii) t=2 and t=4 (iii) t=2 and t=3 (i) (ii) (iii) If an arrow is shot upward on the moon with a velocity of 50 m/s, its height in meters after t seconds is given by h t =50 t t2 . Find the average velocity over the interval: (i) [10 , 11] (ii) [10 , 10. 1] (iii) [10 , 10. 001] (i) (ii) (iii)
