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A guitar string is pulled at point P a distance of 3 cm above its rest position. It is then released and vibrates in damped harmonic motion with a frequency of 165 cycles per second. After 2 s, it is observed that the amplitude of the vibration at point P is 0:6 cm.
(a). Find the damping constant.
(b). Find an equation that describes the position of point P above its rest position as a function of time. Take t = 0 to be the instant when the string is released.
Calculate the value of the appropriate test statistic
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Provide an example and a reference.
Investments. William opened two investment accounts for his grandson's college fund. The first year, these investments, which totaled $18,000, yielded $831 in simple interest. Part of the money was invested at 5.5% and the rest at 4%. How much was..
A segment has endpoints with coordinates (2,-7) and (5,1). Find the length and midpoint of the segment.
Academic response to Binomial Distribution, Historical data shows 15% of the customers entering a store make a purchase. There are 50 customers in the store at the moment.
Let 'y' be the value of a house (in thousands of dollars), 'x' is the years after it is purchased. Some pairs of values are listed in the table below.
Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.
The volume of a cylinder(think about the volume of a can)is given by v=pir^2h where r is the radius of the cylinder and h is the height of the cylinder.
You are in the market for oranges. The supply equation (in millions) for oranges is : S(P)= .3p^2 +11P - 40 The demand equation is D(P) = .7p^2 +P - 1
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
The rate of change of the frequency (f) of an electronic osillator with respect to the inductance (L) is df/dL = 80(4 + L)^-3/2, find (f) as a function of (L) if (f) = 80 Hz for L = 0H.
Determine if the following chemical equation is a kinetically paced reaction: 4NO + 4NH3 + O2 = N2 + 6H2O In other words, is there a kinetic rate equation that can be presented simply that defines the pace of the above reaction
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