HW 05 (1289192)
Question
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Description
15,1 Functions of several variables 15.2 Limits and continuity
SCalc6 15.1.002. [832533]
1.
Question Details
The
temperaturehumidity index I
(or humidex, for short) is the perceived air temperature when the actual temperature is
T
and the
relative humidity is
h
, so we can write
I
=
f
(
T
,
h
). The following table of values of
I
is an excerpt from a table compiled by the National
Oceanic & Atmospheric Administration.
(a) What is the value of
f
(
95
,
20
)?
Enter an exact number.
93
°F
(b) For what value of
h
is
f
(
80
,
h
) =
82
?
Enter an exact number.
60
%
(c) For what value of
T
is
f
(
T
,
50
) =
88
?
Enter an exact number.
85
°F
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(d) What are the meanings of the functions
I
=
f
(
80
,
h
) and
I
=
f
(
95
,
h
)? Compare the behavior of these two functions of
h
.
Key:
answers may vary
SCalc6 15.1.005. [832350]
2.
Question Details
The wave heights
h
in the open sea depend on the speed
v
of the wind and the length of time
t
that the wind has been blowing at that
speed. Values of the function
h
=
f
(
v
,
t
) are recorded in feet in the table.
(a) What is the value of
f
(
40
,
15
)?
Enter an exact number.
25
ft
(b) What is the meaning of the function of
h
=
f
(
50
,
t
)?
We fix
v
and
t
, resulting in a constant value.
We fix
v
= 50 and allow
t
to vary, resulting in an equation of one variable.
We allow
v
and
t
to vary, resulting in a function of two variables.
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 Summer '10
 mccray
 Continuity, Derivative, Vector Calculus, Limits, Continuous function, Question DetailsSCalc6

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