The intensity of sound waves is measured in decibels and is calculated by the formula B = 10 log ( I I 0 ) where I 0 is the minimum detectable decibel level. a. Expand this formula by using the properties of logarithms. b. Let I 0 = 10 − 16 W/cm 2 and simplify.
The intensity of sound waves is measured in decibels and is calculated by the formula B = 10 log ( I I 0 ) where I 0 is the minimum detectable decibel level. a. Expand this formula by using the properties of logarithms. b. Let I 0 = 10 − 16 W/cm 2 and simplify.
Solution Summary: The author calculates the intensity of sound waves using the properties of logarithms where intensity is measured in decibels.
If 3x−y=12, what is the value of 8x / 2y
A) 212B) 44C) 82D) The value cannot be determined from the information given.
C=59(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I onlyB) II onlyC) III onlyD) I and II only
(1) Let F be a field, show that the vector space F,NEZ* be a finite dimension.
(2) Let P2(x) be the vector space of polynomial of degree equal or less than two
and M={a+bx+cx²/a,b,cЄ R,a+b=c),show that whether Mis hyperspace or not.
(3) Let A and B be a subset of a vector space such that ACB, show that whether:
(a) if A is convex then B is convex or not. (b) if B is convex then A is convex or not.
(4) Let R be a field of real numbers and X=R, X is a vector space over R show that by
definition the norms/II.II, and II.112 on X are equivalent where
Ilxll₁ = max(lx,l, i=1,2,...,n) and llxll₂=(x²).
oper
(5) Let Ⓡ be a field of real numbers, Ⓡis a normed space under usual operations and
norm, let E=(2,5,8), find int(E), b(E) and D(E).
(6) Write the definition of bounded linear function between two normed spaces and
write with prove the relation between continuous and bounded linear function
between two normed spaces.
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