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Q: What equations that same solution set over a given domain?
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Ppt on advantages of frequency domain over time domain representation?

with the help of laplace transform the calculation part can be reduced in frequency domain .In time domain differential equations are used and solution is cumbersome.


What is the main disadvantage to graphing a system of equations?

The required solution may not be within the range that is plotted, and you would have to start all over again.


What is over saturated solution?

When a solute cannot be dissolved further in a solvent, at a given temeperature, the solution is saturated; if this amount of solvent is exceeded the solution is oversaturated.


What is the solution to the equation 4 sin x - 3 equals 0 to the nearest degree over the domain 0degrees360degrees?

4 sin(x) - 3 = 0 Therefore sin(x) = 3/4 And so the primary solution is x = sin-1(3/4) = 49 deg The second solution in the domain is 180 - 49 = 131 deg.


What is the solution to the rational equation x over 5 plus 4 over 5 7?

Without an equality sign the given terms can't be considered to be an equation and so therefore there is no solution.


What domain does Dionysus have control over?

He controls the domain of wine and vegetation.


How do you work out maths equations?

The answer depends on the nature of the equation. Mathematicians are still not able to solve the Navier-Stokes equations, for example. In fact there is a million dollar (US) prize if you can figure out a general solution. The equations are not simply mathematical contrivances to create a challenge: they deal with fluid flow and are used for studying the flow of liquids inside a pipe, or air-flow over a plane's wings and so on.


What does the answer 12 equals 12 in a system of equations mean?

It probably means that one of the equations is a linear combination of the others/ To that extent, the system of equations is over-specified.


How many solutions does an independent system of equations have?

It depends. Partly on the domain over which your system of equations is defined - are they integer solutions? Reals or complex numbers? Are the equations linear or more complicated?In any case, there can be none, one or many - including infinitely many.If the system is inconsistent ega + b = 3a + b = 2then there are no solutions.If the system is incomplete (the relevant matrix is singular), you have an infinite number:a + b + c = 1a + 2b + 3c = 2has an infinite number of solutions.A set of n independent linear equations in n unknowns will have a unique solution.A single equation such as (a-2)2 + (b-3)2 + (c-7.5)2 = 0has a unique real-number solution since each on the brackets MUST be zero.


What is x over 3 minus y over 4 equals 0 and x over 2 plus 3y over 10 equals 5.4 solved simultaneously?

Equations: x/3 -y/4 = 0 and x/2 +3y/10 = 5.4 Multiply all terms in the 1st equation by 12 and all terms in the 2nd equations by 10 So: 4x -3y = 0 and 5x +3y = 54 Add both equations together: 9x = 54 => x = 6 Solution solved by substitution: x = 6 and y = 8


What is an over saturated solutions?

An oversaturated solution is one in which the solvent contains more solute than it can normally dissolve at a given temperature. This typically occurs when the solution is heated, allowing it to dissolve more solute than it would be able to at a lower temperature. When the temperature decreases, the excess solute may begin to precipitate out of the solution.


What are advantages you have of frequency domain analysis over time analysis?

Frequency Analysis is much easier. Some equations can't be solved in time domain while they can be solved easily in frequency domain. When moving to frequency domain you change the differential equation into algebric equation. Also, in frequency domain it is easy to apply filters and compute their specifications. In telecommunications, using multiple frequencies enables more than one user to use the service at the same time if having different frequency, this enables less delay for the signal. Also, it would be easier, when using frequency domain- to give each user, or each standard (GSM, Satellite ...) it's own frequency range without interfering. This can't be done in time domain