In Exercises 7 − 12 , sketch the graph of a function that has the properties described. ( − 2 , − 1 ) and ( 2 , 5 ) are on the graph; f ' ( − 2 ) = 0 and f ' ( 2 ) = 0 ; f ' ' ( x ) > 0 for x < 0 , f ' ' ( 0 ) = 0 , f ' ' ( x ) < 0 for x > 0 .
In Exercises 7 − 12 , sketch the graph of a function that has the properties described. ( − 2 , − 1 ) and ( 2 , 5 ) are on the graph; f ' ( − 2 ) = 0 and f ' ( 2 ) = 0 ; f ' ' ( x ) > 0 for x < 0 , f ' ' ( 0 ) = 0 , f ' ' ( x ) < 0 for x > 0 .
Solution Summary: The author explains how to sketch the graph of the function f(x) using the given properties.
In Exercises
7
−
12
, sketch the graph of a function that has the properties described.
(
−
2
,
−
1
)
and
(
2
,
5
)
are on the graph;
f
'
(
−
2
)
=
0
and
f
'
(
2
)
=
0
;
f
'
'
(
x
)
>
0
for
x
<
0
,
f
'
'
(
0
)
=
0
,
f
'
'
(
x
)
<
0
for
x
>
0
.
Let f be a function whose graph consists of 5 line segments and a semicircle as shown in the figure below.
Let g(x) = √ƒƒ(t) dt .
0
3
2
-2
2
4
5
6
7
8
9
10
11
12
13
14
15
1. g(0) =
2. g(2) =
3. g(4) =
4. g(6) =
5. g'(3) =
6. g'(13)=
The expression 3 | (3+1/+1)
of the following integrals?
A
Ов
E
+
+
+ +
18
3+1+1
3++1
3++1
(A) √2×14 dx
x+1
(C) 1½-½√ √ ² ( 14 ) d x
(B) √31dx
(D) So 3+x
-dx
is a Riemann sum approximation of which
5
(E) 1½√√3dx
2x+1
2. Suppose the population of Wakanda t years after 2000 is given by the equation
f(t) = 45000(1.006). If this trend continues, in what year will the population reach 50,000
people? Show all your work, round your answer to two decimal places, and include units. (4
points)
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