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Let f ( t ) be the piecewise linear function with domain ! = = = & shown in the graph below ( which is determined by connecting the dots ) ....

Hello,

Please help me with my AP Calculus math class work. If possible, please show me the last few steps to the problem so I can learn from it. Not necessary but it would help! Thanks!



Screen Shot 2019-04-11 at 1.40.50 PM.pngScreen Shot 2019-04-11 at 1.40.40 PM.pngScreen Shot 2019-04-11 at 1.46.14 PM.pngScreen Shot 2019-04-11 at 1.46.08 PM.png

Screen Shot 2019-04-11 at 1.40.40 PM.png

Let f ( t ) be the piecewise linear function with domain ! = = = & shown in the graph below ( which is determined by
connecting the dots ) . Define a function A(x ) with domain D = * = 8 by
A ( * ) =\
= ( $ ( D ) ` .
Notice that ALE) is the net area under the function f(t ) for D = = = X . If you click on the graph below , a full - size picture of
the graph will open in another window .*
- 1/4 - -
- I
- 5^
Graph of * = f(t)

Screen Shot 2019-04-11 at 1.40.50 PM.png

Graph of * = fits
[ A] Find the following values of the function A(x ).
1 1 0 ) =
A ( 1 ) =
$1 2 ) =
A ( 3 ) =
A ( 4 ) =
$ 1 5 ) =
A ( 6 ) =
AIT) =
4 ( 8 ) =
I BJ Use interval notation to indicate the interval or union of intervals where A (x ) is increasing and decreasing .
A ( * ) is increasing for* in the interval
1 ( x) is decreasing for* in the interval
(C ) Find where A (* ) has its maximum and minimum values .
* ( *) has its maximum value when* =
A (* ) has its minimum value when*' _

Screen Shot 2019-04-11 at 1.46.08 PM.png

1 1 point , The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x ) =\
10
on the interval 1 3 . 7] .
The value of this left endpoint Riemann Sum 15
. and this Riemann sum is an
underestimate of $ the area of the region enclosed by * = (x ), the x - axis , and the vertical lines * = 3 and * = ] .
4
$1
3
4
5
Left endpoint Riemann sum for * = To
I on [ 3 , 71

Screen Shot 2019-04-11 at 1.46.14 PM.png

The rectangles in the graph below illustrate a right endpoint Riemann sum for * (x ) =
10
on the interval 13. 71 .
The value of this right endpoint Riemann Sum 15
* and this Riemann sum is an
overestimate of
the area of the region enclosed by * = (x) , the x - axis , and the vertical lines * = 3 and * = ] .
51
4
E
4
5
E
?`
4
I .
Right endpoint Riemann sum for * ={
it on [ 3. 71

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