6.5 Average Value of a Function: Difference between revisions

Latest revision as of 17:32, 7 September 2022

1. Average Value from a to b:

$f_{\text{avg}}={\frac {1}{b-a}}\int _{a}^{b}f(x)\,dx$

2. Average Rate of Change from a to b:

${\text{slope}}=m={\frac {f(b)-f(a)}{b-a}}$

Mr. V solutions: 2

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