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S
D
=
(
∑
f
x
2
n
)
−
(
k
f
x
1
n
)
i
SD = \sqrt[i]{\left(\frac{\sum f x^{2}}{n}\right)-\left(\frac{kfx^{1}}{n}\right)}
S
D
=
i
(
n
∑
f
x
2
)
−
(
n
k
f
x
1
)
,
S
D
=
(
261
90
)
−
(
−
128
90
)
2
7
SD = \sqrt[7]{\left(\frac{261}{90}\right)-\left(\frac{-128}{90}\right)^{2}}
S
D
=
7
(
90
261
)
−
(
90
−
128
)
2
,
=
7
2
,
9
−
(
−
1
,
422
)
2
=7\sqrt{2,9-(-1,422)^{2}}
=
7
2
,
9
−
(
−
1
,
422
)
2
,
=
7
2
,
9
−
2
,
0224
=7\sqrt{2,9-2,0224}
=
7
2
,
9
−
2
,
0224
,
=
7
=7
=
7
View step-by-step help
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Math Problems
Calculus
Find higher derivatives of rational and radical functions
Full solution
Q.
S
D
=
(
∑
f
x
2
n
)
−
(
k
f
x
1
n
)
i
SD = \sqrt[i]{\left(\frac{\sum f x^{2}}{n}\right)-\left(\frac{kfx^{1}}{n}\right)}
S
D
=
i
(
n
∑
f
x
2
)
−
(
n
k
f
x
1
)
,
S
D
=
(
261
90
)
−
(
−
128
90
)
2
7
SD = \sqrt[7]{\left(\frac{261}{90}\right)-\left(\frac{-128}{90}\right)^{2}}
S
D
=
7
(
90
261
)
−
(
90
−
128
)
2
,
=
7
2
,
9
−
(
−
1
,
422
)
2
=7\sqrt{2,9-(-1,422)^{2}}
=
7
2
,
9
−
(
−
1
,
422
)
2
,
=
7
2
,
9
−
2
,
0224
=7\sqrt{2,9-2,0224}
=
7
2
,
9
−
2
,
0224
,
=
7
=7
=
7
Calculate total rolls:
We need to divide the total amount of tape needed by the amount of tape on each roll.
8
,
000
cm
÷
2
,
000
cm
/
roll
=
4
rolls
8,000 \, \text{cm} \div 2,000 \, \text{cm}/\text{roll} = 4 \, \text{rolls}
8
,
000
cm
÷
2
,
000
cm
/
roll
=
4
rolls
Determine number of rolls:
So, the electrician should order
4
4
4
rolls of tape.
More problems from Find higher derivatives of rational and radical functions
Question
f
′
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x
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12
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x
and
f
(
4
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=
−
16
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12
e
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f
(
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\begin{array}{l}f^{\prime}(x)=12 e^{x} \text { and } f(4)=-16+12 e^{4} . \\ f(0)=\end{array}
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Solve for
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Solve the equation. \begin{align*} \frac{b}{6} &= 3, \ b &= \Box \end{align*}
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Solve for
n
n
n
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12
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5
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Posted 2 months ago
Question
The second derivative of the function
f
f
f
is defined by
f
′
′
(
x
)
=
x
2
−
5
cos
(
2
x
)
f^{\prime \prime}(x)=x^{2}-5 \cos (2 x)
f
′′
(
x
)
=
x
2
−
5
cos
(
2
x
)
for
−
2.5
<
x
<
3.5
-2.5<x<3.5
−
2.5
<
x
<
3.5
. Find the
x
x
x
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f
f
f
has an inflection point. You may use a calculator and round all values to
3
3
3
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\newline
Answer:
x
=
x=
x
=
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Posted 2 months ago
Question
f
′
(
x
)
=
12
e
x
and
f
(
4
)
=
−
16
+
12
e
4
.
f
(
0
)
=
\begin{array}{l}f^{\prime}(x)=12 e^{x} \text { and } f(4)=-16+12 e^{4} . \\ f(0)=\end{array}
f
′
(
x
)
=
12
e
x
and
f
(
4
)
=
−
16
+
12
e
4
.
f
(
0
)
=
Get tutor help
Posted 2 months ago
Question
x
2
−
6
x
+
11
=
y
x
=
y
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1
\begin{array}{c}x^{2}-6 x+11=y \\ x=y+1\end{array}
x
2
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6
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y
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1
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Posted 2 months ago
Question
=
x
2
+
4
=
(
g
+
h
)
(
x
)
\begin{array}{l} =x^{2}+4 \\ =(g+h)(x) \end{array}
=
x
2
+
4
=
(
g
+
h
)
(
x
)
\newline
9
9
9
.
\newline
h
(
x
)
=
x
2
+
x
g
(
x
)
=
3
x
+
5
Find
(
h
⋅
g
)
(
x
)
\begin{array}{l} h(x)=x^{2}+x \\ g(x)=3 x+5 \\ \text { Find }(h \cdot g)(x) \end{array}
h
(
x
)
=
x
2
+
x
g
(
x
)
=
3
x
+
5
Find
(
h
⋅
g
)
(
x
)
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Posted 2 months ago
Question
Factor completely:
\newline
8
c
3
+
27
m
6
8 c^{3}+27 m^{6}
8
c
3
+
27
m
6
\newline
Answer:
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Posted 2 months ago