obiahu (vo879) – HW08 – Schultz – (56395)
1
This
printout
should
have
20
questions.
Multiplechoice questions may continue on
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before answering.
001
10.0 points
After spending $
x
in advertising per day,
a McDonalds restaurant finds that it sells
N
hamburgers where
N
= 1100 + 190
x

5
x
2
.
Estimate using differentials how many more
hamburgers the restaurant will sell if it in
creases its daily spending on advertising from
$10 to $10
.
30.
1.
27 more hamburgers
2.
26 more hamburgers
3.
30 more hamburgers
4.
28 more hamburgers
5.
29 more hamburgers
002
10.0 points
Estimate the value of 17
1
/
4
using differen
tials.
1.
17
1
/
4
≈
33
16
2.
17
1
/
4
≈
2
3.
17
1
/
4
≈
65
32
4.
17
1
/
4
≈
63
32
5.
17
1
/
4
≈
67
32
003
10.0 points
Find the differential,
dy
, of
y
=
f
(
x
) = tan(4
x
2
)
.
1.
dy
= 4 sec
2
(4
x
2
) tan(4
x
2
) +
dx
2.
dy
= 8
x
sec
2
(4
x
2
)
dx
3.
dy
= 4 sec
2
(4
x
2
) tan(4
x
2
)
4.
dy
= 8
x
sec
2
(4
x
) +
dx
5.
dy
= 8
x
sec
2
(4
x
2
)
6.
dy
= 4 sec
2
(4
x
2
) tan(4
x
2
)
dx
004
10.0 points
Find the linearization of
f
(
x
) =
1
√
6 +
x
at
x
= 0.
1.
L
(
x
) =
1
√
6

1
6
x
2.
L
(
x
) =
1
6
parenleftBig
1 +
1
12
x
parenrightBig
3.
L
(
x
) =
1
6
parenleftBig
1

1
6
x
parenrightBig
4.
L
(
x
) =
1
√
6
parenleftBig
1

1
12
x
parenrightBig
5.
L
(
x
) =
1
√
6
+
1
6
x
6.
L
(
x
) =
1
√
6
parenleftBig
1 +
1
12
x
parenrightBig
005
10.0 points
Richard removes a turkey from the oven
after it reaches a temperature of 184
◦
F
and
places on a table in his dining room where
the temperature is 60
◦
F
.
After 10 minutes
the temperature of the turkey is 168
◦
F
, while
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obiahu (vo879) – HW08 – Schultz – (56395)
2
after 20 minutes it is 162
◦
F
.
Use linear ap
proximation to predict the temperature of the
turkey after half an hour.
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 Spring '10
 schultz
 Imperial units, Inch, Miles per hour, RLM

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