Answer:
4x+2h
Step-by-step explanation:
The average rate of change of a continuous function,
f
(
x
)
, on a closed interval
[
a
,
b
]
is given by
f
(
b
)
−
f
(
a
)
b
−
a
So the average rate of change of the function
f
(
x
)
=
2
x
2
+
1
on
[
x
,
x
+
h
]
is:
A
r
o
c
=
f
(
x
+
h
)
−
f
(
x
)
(
x
+
h
)
−
(
x
)
=
f
(
x
+
h
)
−
f
(
x
)
h
...
.
.
[
1
]
=
2
(
x
+
h
)
2
+
1
−
(
2
x
2
+
1
)
h
=
2
(
x
2
+
2
x
h
+
h
2
)
+
1
−
2
x
2
−
1
h
=
2
x
2
+
4
x
h
+
2
h
2
−
2
x
2
h
=
4
x
h
+
2
h
2
h
=
4
x
+
2
h
Which is the required answer.
Additional Notes:
Note that this question is steered towards deriving the derivative
f
'
(
x
)
from first principles, as the definition of the derivative is:
f
'
(
x
)
=
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
This is the function we had in [1], so as we take the limit as
h
→
0
we get the derivative
f
'
(
x
)
for any
x
, This:
f
'
(
x
)
=
lim
h
→
0
4
x
+
2
h
=
4
x
Hi there....
-8f > 56
Divide both sides by -8
-8f/-8 > 56/-8
f < -7
The correct option is : B
Answer:
x frequency
4.8 1
4.83 1
4.85 2
4.89 1
4.91 1
4.94 2
4.96 1
4.99 1
5.04 3
5.05 1
5.12 3
5.14 1
5.15 1
5.17 1
5.19 2
5.24 1
5.26 1
5.27 1
5.28 1
find the dot plot as attached below
Step-by-step explanation:
Construct a dotplot for the following data. 4.85 4.94 5.12 5.14 4.80 4.99 5.19 4.94 4.85 5.12 5.04 4.96 5.28 5.05 4.83 5.27 5.12 5.19 4.89 5.15 5.04 5.17 5.24 5.04 4.91 5.26
Rearranging the data into frequency table
x frequency
4.8 1
4.83 1
4.85 2
4.89 1
4.91 1
4.94 2
4.96 1
4.99 1
5.04 3
5.05 1
5.12 3
5.14 1
5.15 1
5.17 1
5.19 2
5.24 1
5.26 1
5.27 1
5.28 1
The answer is 6:9 because 4:6' equivalent is 2:3, which is the same as 6:9
Answer:
8
Step-by-step explanation:
Note that √ signifies "square root."
If you're unsure of what √64 is, then make a short table of perfect squares until 64 comes up:
1 1
2 4
3 9
4 16
5 25
6 36
7 49
8 64
Thus, the square of 8 is 64 and so √64 = 8
