lect116_28rev_f11

lect116_28rev_f11 - Thursday, November 17 Lecture 28 :...

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Thursday, November 17 Lecture 28 : Average value of a function. (Refers to Section 7.7 your text) Students who have mastered the content of this lecture know : About the average value of a function over an interval [a, b], the mean value theorem for integrals. Students who have practiced the techniques presented in this lecture will be able to : Compute the average value of a function over an interval [a, b], state the Mean value theorem for integrals. 28.1 Average value of f(x) Let f ( x ) be a continuous function over the interval [ a , b ]. We recognize the expression as being a Riemann sum where the interval is partitioned into n equal subintervals each of length x = ( b a )/ n . The x i * can be chosen to be the right endpoint of the each subinterval. For a particular value of n we also recognize the expression as being an average of n chosen values of f over [ a, b ]. Then we can write Given that we define the average value of a function f(x) over an interval [a, b] as Note the authors of your text use the notation:
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28.1.1
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lect116_28rev_f11 - Thursday, November 17 Lecture 28 :...

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