MATH 1231 Lecture 31: Average of Function and Rate of Change

• School: Northeastern University
• Department: Mathematics
• Course: MATH 1231
• Professor: Ruoran Zhang

Document Summary

1231 lecture 31 average of function and rate of change. Determine the average value of each of the following functions on the given interval. (a) (b) There"s really not a whole lot to do in this problem other than just use the on formula. (b) on. Note that the integral will need the following substitution. Here is the average value of this function, So, in this case the average function value is zero. Do not get excited about getting zero here. To find the average value of a function, the function should be continuous on the closed interval [alb]. To find whether f(x) is continuous on [0, 10] or not, find the domain of f(x) =5x2+6x. f(x) is continuous on [0, 10]. f(x) is continuous. The average value of function f over the interval [alb] is defined as a(x) =1(b a) 100f(x) dx. Substitute the actual values into the formula for the average value of a function.