6.5 Average Value of a Function: Difference between revisions
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== Lecture notes == | == Lecture notes == | ||
1. Average Value: | 1. Average Value from a to b: | ||
<math> | <math> | ||
f_{\ | f_{\text{avg}} = \frac{1}{b-a}\int_{a}^{b}f(x)\,dx | ||
</math> | </math> | ||
2. Average Rate of Change from a to b: | |||
<math> | |||
\text{slope} = m = \frac{f(b)-f(a)}{b-a} | |||
</math> | |||
https://tutorial.math.lamar.edu/classes/calci/avgfcnvalue.aspx | 3. [https://tutorial.math.lamar.edu/classes/calci/avgfcnvalue.aspx Paul's Online Notes] | ||
== Examples == | == Examples == | ||
https://tutorial.math.lamar.edu/Problems/CalcI/AvgFcnValue.aspx | 1. [https://tutorial.math.lamar.edu/Problems/CalcI/AvgFcnValue.aspx Paul's Online Notes] | ||
== Solutions == | == Solutions == | ||
Mr. V solutions: <br> | Mr. V solutions: 2<br> | ||
[[6.5 Average Value of a Function/1|1]] | [[6.5 Average Value of a Function/1|1]] | ||
[[6.5 Average Value of a Function/2|2]] | |||
[[6.5 Average Value of a Function/3|3]] | [[6.5 Average Value of a Function/3|3]] | ||
[[6.5 Average Value of a Function/5|5]] | [[6.5 Average Value of a Function/5|5]] | ||
[[6.5 Average Value of a Function/7|7]] | [[6.5 Average Value of a Function/7|7]] | ||
[[6.5 Average Value of a Function/15|15]] | [[6.5 Average Value of a Function/15|15]] | ||
