Loudness of Sound Problems 129 − 132 use the following discussion: The loudness L ( X ) , measured in decibels ( d B ) , of a sound of intensity x , measured in watts per square meter, is defined as L ( x ) = 10 l o g x l 0 , where l 0 = 10 − 12 watt per square meter is the least intense sound that a human ear can detect. Determine the loudness, in decibels, of each of the following sounds. Heavy city traffic: intensity of x = 10 − 3 watt per square meter.
Loudness of Sound Problems 129 − 132 use the following discussion: The loudness L ( X ) , measured in decibels ( d B ) , of a sound of intensity x , measured in watts per square meter, is defined as L ( x ) = 10 l o g x l 0 , where l 0 = 10 − 12 watt per square meter is the least intense sound that a human ear can detect. Determine the loudness, in decibels, of each of the following sounds. Heavy city traffic: intensity of x = 10 − 3 watt per square meter.
Solution Summary: The author explains the loudness of heavy city traffic in decibels, if the intensity of the sound is x=10-3 watt per square meter.
Loudness of Sound Problems
129
−
132
use the following discussion: The loudness
L
(
X
)
, measured in decibels
(
d
B
)
, of a sound of intensity
x
, measured in watts per square meter, is defined as
L
(
x
)
=
10
l
o
g
x
l
0
, where
l
0
=
10
−
12
watt per square meter is the least intense sound that a human ear can detect. Determine the loudness, in decibels, of each of the following sounds.
Heavy city traffic: intensity of
x
=
10
−
3
watt per square meter.
3.1 Limits
1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice.
x+3°
x+3*
x+3
(a) Is 5
(c) Does not exist
(b) is 6
(d) is infinite
1 pts
Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and
G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is
Question 1
-0.246
0.072
-0.934
0.478
-0.914
-0.855
0.710
0.262
.
2. Answer the following questions.
(A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity
Vx (VF) V(V •F) - V²F
(B) [50%] Remark. You are confined to use the differential identities.
Let u and v be scalar fields, and F be a vector field given by
F = (Vu) x (Vv)
(i) Show that F is solenoidal (or incompressible).
(ii) Show that
G =
(uvv – vVu)
is a vector potential for F.
Chapter 4 Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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