For Exercises 79-80, the formula L = 10 log I I 0 gives the loudness of sound L (in dB) based on the intensity of sound I in W/m 2 . The value I 0 = 10 − 12 W/m 2 is the minimal threshold for hearing for midfrequency sounds. Hearing impairment measured according to the minimal sound level (in dB) detected by an individual for sounds at various frequencies. For one frequency, the table depicts the level of hearing impairment. Determine the range that represents the intensity of sound that can be heard by an individual with severe hearing impairment.
For Exercises 79-80, the formula L = 10 log I I 0 gives the loudness of sound L (in dB) based on the intensity of sound I in W/m 2 . The value I 0 = 10 − 12 W/m 2 is the minimal threshold for hearing for midfrequency sounds. Hearing impairment measured according to the minimal sound level (in dB) detected by an individual for sounds at various frequencies. For one frequency, the table depicts the level of hearing impairment. Determine the range that represents the intensity of sound that can be heard by an individual with severe hearing impairment.
Solution Summary: The author calculates the range of the loudness of sound that can be heard by an individual with a severe hearing impairment.
For Exercises 79-80, the formula
L
=
10
log
I
I
0
gives the loudness of sound L (in dB) based on the intensity of sound
I
in W/m
2
. The value
I
0
=
10
−
12
W/m
2
is the minimal threshold for hearing for midfrequency sounds. Hearing impairment measured according to the minimal sound level (in dB) detected by an individual for sounds at various frequencies. For one frequency, the table depicts the level of hearing impairment.
Determine the range that represents the intensity of sound that can be heard by an individual with severe hearing impairment.
B 2-
The figure gives four points and some
corresponding rays in the xy-plane. Which of
the following is true?
A
B
Angle COB is in standard
position with initial ray OB
and terminal ray OC.
Angle COB is in standard
position with initial ray OC
and terminal ray OB.
C
Angle DOB is in standard
position with initial ray OB
and terminal ray OD.
D
Angle DOB is in standard
position with initial ray OD
and terminal ray OB.
temperature in degrees Fahrenheit, n hours since midnight.
5. The temperature was recorded at several times during the day. Function T gives the
Here is a graph for this function.
To 29uis
a. Describe the overall trend of temperature throughout the day.
temperature (Fahrenheit)
40
50
50
60
60
70
5
10 15 20 25
time of day
b. Based on the graph, did the temperature change more quickly between 10:00
a.m. and noon, or between 8:00 p.m. and 10:00 p.m.? Explain how you know.
(From Unit 4, Lesson 7.)
6. Explain why this graph does not represent a function.
(From Unit 4, Lesson 8.)
Find the area of the shaded region.
(a)
5-
y
3
2-
(1,4)
(5,0)
1
3
4
5
6
(b)
3 y
2
Decide whether the problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to
estimate the solution.
STEP 1: Consider the figure in part (a). Since this region is simply a triangle, you may use precalculus methods to solve this part of the problem. First determine the height of the triangle and the length of the triangle's base.
height 4
units
units
base
5
STEP 2: Compute the area of the triangle by employing a formula from precalculus, thus finding the area of the shaded region in part (a).
10
square units
STEP 3: Consider the figure in part (b). Since this region is defined by a complicated curve, the problem seems to require calculus. Find an approximation of the shaded region by using a graphical approach. (Hint: Treat the shaded regi
as…
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