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Midterm

MATH 2B Midterm: MATH2B, Chapter 6.2 term test 2Premium

Department
Mathematics
Course Code
MATH 2B
Professor
All
Study Guide
Midterm

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Section 6.5 - Average Value
Think about the equation for average speed
The average speed is the average speed you are at in the time that you traverse
a certain distance
. = ()  ()
 = 

We can ignore the numerator because it is a constant
. =
 [()] (  )
() = ()
The average velocity is average of all the y-values
The official formula
. =

()
Example #4
Find the average value of () =  [0,4]

 =
 =
(
) ( 1  4)

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Take the integral
=
=
Plug in values
Example #5
Given ()= 2 +  + 5 and ()     2  [0,1], what is
C?

2++ 5
Take the integral
(
+
+ 5) ( 0  1)
Plug in values
(
+
+ 5) (0)
Then simplify
2 =  

24 55 = 6
= 
Example #6
() =  [0,1]
Average value of
What is ?
 =


Compile the integral

 ( 0  1)
Take the integral
 =
Plug in values