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Let’s check out your problem:
Find the linearization of
f
(
x
)
=
x
f(x) = \sqrt{x}
f
(
x
)
=
x
at
x
=
9
x = 9
x
=
9
. Write an exact answer.
\newline
L
(
x
)
=
L(x) =
L
(
x
)
=
______
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Math Problems
Calculus
Linear approximation
Full solution
Q.
Find the linearization of
f
(
x
)
=
x
f(x) = \sqrt{x}
f
(
x
)
=
x
at
x
=
9
x = 9
x
=
9
. Write an exact answer.
\newline
L
(
x
)
=
L(x) =
L
(
x
)
=
______
Calculate rolls needed:
First, we need to figure out how many rolls the electrician needs by dividing the total amount of tape needed by the amount of tape on each roll.
More problems from Linear approximation
Question
Let
x
2
+
y
2
=
25
x^{2}+y^{2}=25
x
2
+
y
2
=
25
.
\newline
What is the value of
d
2
y
d
x
2
\frac{d^{2} y}{d x^{2}}
d
x
2
d
2
y
at the point
(
4
,
3
)
(4,3)
(
4
,
3
)
?
\newline
Give an exact number.
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Posted 1 year ago
Question
For the function
f
(
x
)
=
−
10
x
2
−
10
x
−
8
f(x)=-10 x^{2}-10 x-8
f
(
x
)
=
−
10
x
2
−
10
x
−
8
, find the slope of the tangent line at
x
=
−
10
x=-10
x
=
−
10
.
\newline
Answer:
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Posted 1 year ago
Question
For the function
f
(
x
)
=
8
x
2
−
2
x
+
11
f(x)=8 x^{2}-2 x+11
f
(
x
)
=
8
x
2
−
2
x
+
11
, find the slope of the tangent line at
x
=
11
x=11
x
=
11
.
\newline
Answer:
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Posted 1 year ago
Question
For the following equation, evaluate
f
′
(
3
)
f^{\prime}(3)
f
′
(
3
)
.
\newline
f
(
x
)
=
−
5
x
+
1
f(x)=-5 x+1
f
(
x
)
=
−
5
x
+
1
\newline
Answer:
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Posted 1 year ago
Question
3
3
3
. Find the tangent line to
f
(
x
)
=
f(x)=
f
(
x
)
=
(
2
−
4
x
2
)
5
\left(2-4 x^{2}\right)^{5}
(
2
−
4
x
2
)
5
at
x
=
1
x=1
x
=
1
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Posted 1 year ago
Question
Given
f
(
x
)
=
−
x
2
−
12
f(x)=-x^{2}-12
f
(
x
)
=
−
x
2
−
12
, find
f
(
4
)
f(4)
f
(
4
)
\newline
Answer:
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Posted 1 year ago
Question
The graph of
f
(
x
)
=
10
(
0.75
)
x
f(x)=10(0.75)^x
f
(
x
)
=
10
(
0.75
)
x
for
x
≥
0
x\geq0
x
≥
0
is shown. What is the initial value of the function?
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Posted 1 year ago
Question
{
f
(
1
)
=
37
f
(
n
)
=
f
(
n
−
1
)
⋅
0.3
\begin{cases} f(1)=37 \\\\ f(n)=f(n-1)\cdot 0.3 \end{cases}
⎩
⎨
⎧
f
(
1
)
=
37
f
(
n
)
=
f
(
n
−
1
)
⋅
0.3
\newline
Find an explicit formula for f(n).
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Posted 1 year ago
Question
Solve for the exact value of
x
x
x
.
\newline
6
ln
(
4
x
+
3
)
+
19
=
37
6 \ln (4 x+3)+19=37
6
ln
(
4
x
+
3
)
+
19
=
37
\newline
Answer:
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Posted 1 year ago
Question
Let
f
f
f
be an exponential function of the form
f
(
x
)
=
a
b
x
f(x)=a b^{x}
f
(
x
)
=
a
b
x
. If
f
(
0
)
=
4
f(0)=4
f
(
0
)
=
4
and
f
(
3
)
=
108
f(3)=108
f
(
3
)
=
108
, what is the equation of
f
f
f
?
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Posted 10 months ago
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