4.
1/1 points |
Previous Answers
SCalcET7 3.10.004.
Find the linearization
L
(
x
) of the function at
a
(
x
) =
x
2/3
,
a
=
L
(
x
) =
g
(
x
) =
1 +
x
.
Solution or Explanation
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5.
4/4 points |
Previous Answers
SCalcET7 3.10.006.MI.
Find the linear approximation of the function
at
a
= 0.
≈
Use it to approximate the numbers
and
(Round your answers to three decimal places.)
f
(
x
) =
x
4
+
4
x
2
,
a
=
L
(
x
) =
f
(
x
) =
x
4
+
5
x
2
,
a
=
f
(
x
)
L
(
x
) =
f
(
a
) +
f
'
(
a
)(
x
−
a
f
(
x
) =
x
4
+
5
x
2
f
'
(
x
) =
(No Response)
−
1
−
1
).
,
.
f
(
x
) =
x
2/3
,
a
=
L
(
x
) =
g
(
x
) =
1 +
x
64
5
g
(
x
)
0.95
5
.
1.1
5
5

3/14/14, 7:36 PM
Chapter 3.10 HW
Page 4 of 9
Illustrate by graphing
g
and the tangent line.
≈
0.990
0.990
≈
1.020
1.020
0.95
5
1.1
5

3/14/14, 7:36 PM
Chapter 3.10 HW
Master It
Find the linear approximation of the function
at
a
= 0. Use it to approximate the numbers
Illustrate by graphing
g
and the tangent line.
g
(
x
) =
1 +
x
7
0.95
7
.
1.1
and
7
).
x
7
7

Page 5 of 9
Graphing
f
and the tangent line we have: