Sounds are produced when vibrating objects create pressure waves in some medium such as air. When these variations in pressure reach the human eardrum, it causes the eardrum to vibrate in a similar manner and the ear detects sound. The intensity of sound is measured as power per unit area. The threshold for hearing (minimum sound detectable by a young, healthy ear) is defined to be I 0 = 10 − 12 W / m 2 (watts per square meter). The sound level L , or “loudnessâ€� of sound, is measured in decibels (dB) as L = 10 log I I 0 , where I is the intensity of the given sound. Use this formula for Exercises 95-96. a. Find the sound level of a motorcycle if its intensity is 10 10 times I 0 . b. Find the sound level of a vacuum cleaner if its intensity is 10 7 times I 0 . c. How many times more intense is the sound of a motorcycle than a vacuum cleaner?
Sounds are produced when vibrating objects create pressure waves in some medium such as air. When these variations in pressure reach the human eardrum, it causes the eardrum to vibrate in a similar manner and the ear detects sound. The intensity of sound is measured as power per unit area. The threshold for hearing (minimum sound detectable by a young, healthy ear) is defined to be I 0 = 10 − 12 W / m 2 (watts per square meter). The sound level L , or “loudnessâ€� of sound, is measured in decibels (dB) as L = 10 log I I 0 , where I is the intensity of the given sound. Use this formula for Exercises 95-96. a. Find the sound level of a motorcycle if its intensity is 10 10 times I 0 . b. Find the sound level of a vacuum cleaner if its intensity is 10 7 times I 0 . c. How many times more intense is the sound of a motorcycle than a vacuum cleaner?
Sounds are produced when vibrating objects create pressure waves in some medium such as air. When these variations in pressure reach the human eardrum, it causes the eardrum to vibrate in a similar manner and the ear detects sound. The intensity of sound is measured as power per unit area. The threshold for hearing (minimum sound detectable by a young, healthy ear) is defined to be
I
0
=
10
−
12
W
/
m
2
(watts per square meter). The sound level
L
,
or “loudness� of sound, is measured in decibels (dB) as
L
=
10
log
I
I
0
,
where
I
is the intensity of the given sound. Use this formula for Exercises 95-96.
a. Find the sound level of a motorcycle if its intensity is
10
10
times
I
0
.
b. Find the sound level of a vacuum cleaner if its intensity is
10
7
times
I
0
.
c. How many times more intense is the sound of a motorcycle than a vacuum cleaner?
Write the given third order linear equation as an equivalent system of first order equations with initial values.
Use
Y1 = Y, Y2 = y', and y3 = y".
-
-
√ (3t¹ + 3 − t³)y" — y" + (3t² + 3)y' + (3t — 3t¹) y = 1 − 3t²
\y(3) = 1, y′(3) = −2, y″(3) = −3
(8) - (888) -
with initial values
Y
=
If you don't get this in 3 tries, you can get a hint.
Question 2
1 pts
Let A be the value of the triple integral
SSS.
(x³ y² z) dV where D is the region
D
bounded by the planes 3z + 5y = 15, 4z — 5y = 20, x = 0, x = 1, and z = 0.
Then the value of sin(3A) is
-0.003
0.496
-0.408
-0.420
0.384
-0.162
0.367
0.364
Question 1
Let A be the value of the triple integral SSS₂ (x + 22)
=
1 pts
dV where D is the
region in
0, y = 2, y = 2x, z = 0, and
the first octant bounded by the planes x
z = 1 + 2x + y. Then the value of cos(A/4) is
-0.411
0.709
0.067
-0.841
0.578
-0.913
-0.908
-0.120
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