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How can a linear equation represent a function?
In my opinion they are pointless and just another reason for people to hate math.
Can the function f(x)52x equal 200?
Sure; a linear function such as this one can be equal to ANY real number.To know at what value of "x" this happens, just solve the equation 52x = 200. (Note: This will not be a whole number.)
How can you tell whether a linear function can be used to model a real life relationship?
You can create a scatter plot of the two variables. This may tell you if there is a relationship and, if so, whether or not it is linear. If there seems to be a linear relationship, you can carry out a linear regression. Note that the absence of a linear relationship does not mean that there is no relationship. The coordinates of the points on a circle do not show a linear relationship: the correlation coefficient is zero but there is a perfect and simple relationship between the abscissa and the ordinate. Even if there is evidence of a linear relationship, it may be valid only within the range of observations: do not extrapolate. For example, the increase in temperature of a body is linearly related to the amount of heat energy aded. However, for a solid, there will come a stage when the additional heat will not increase the temperature but will be used to melt (or sublimate) the solid. So the linear relationship will be broken.
Why you use even and odd function in mathematics?
If you know that a function is even (or odd), it may simplify the analysis of the function, for several purposes. One example is the calculation of definite integrals: for an odd function, the integral of a function from (-x) to (x) (note 1) is zero; for an even function, this integral is twice the integral of the function from (0) to (x). Note 1: That is, the area under the function; for negative values, this "area" is taken as negative) is
How do you get a function of a function?
A function is a mapping from one set of numbers (domain) to another (range). The mapping need not be linear: it can be any mathematical function. That is, for every number in the domain the function provides a rule which allows you to calculate another number.If, then, you devise another function which is a mapping from the range of the first function to some other set, you have a function of a function.For example, suppose the first function, f, is "add 1" and the second function, g, is "square the number."Then the functiong of f = g[f(x)] = g[x+1] = [x+1]2 = x2 + 2x + 1however, note thatf of g = f[g(x)] = f[x2] = x2 + 1This illustrates that f of g is not the same as g of f.
What is the difference between linear and nonlinear problems and how do you?
A linear circuit is an electric circuit in which, for a sinusoidal input voltage of frequency f, any output of the circuit (current through any component, voltage across any component, etc.) is also sinusoidal with frequency f. Note that the output need not be in phase with the input.
Is a nonlinear a function?
Any function in which the dependent variable is not exactly proportional to the zeroth or first power of the independent variable. E.g.: y(x) = a*(x+x^3); y(x) = a*exp(x); y(x) = a*sin(x); etc. This may be extended to differential equations by stating a nonlinear differential equation is one in which some function depends on a derivative which is not to the zeroth or first power. An example is: dy/dx - (y(x))^2 = a. Note, all of the values for "a" in these examples are meant to be constants.
How can a linear equation represent a function?
In my opinion they are pointless and just another reason for people to hate math.
What is the relationship between pitch and note in music?
The pitch of a note describes how high or low a note sounds.
What vibrates more a high pitch or a low pitch note?
A high pitch note vibrates more than a low pitch note because its frequency is higher, meaning it completes more vibrations per second. A low pitch note has a lower frequency and fewer vibrations per second.
Can the function f(x)52x equal 200?
Sure; a linear function such as this one can be equal to ANY real number.To know at what value of "x" this happens, just solve the equation 52x = 200. (Note: This will not be a whole number.)
What is the pitch of a music note?
The pitch is the frequency of the sound waves and determines how high or low the note is.
What does it mean when a differential equation is linear?
It means that the dependent variable and all its derivatives are multiplied by constants only, not by themselves nor by functions containing the independent variable.. For example, (dy/dx) + xy = 0 is non-linear but (dy/dx) + y = (x^2)coswx is linear. (Note that it doesnt matter how the function of the independent variable is)
How does the pitch change when the loudness of a note changes?
When the loudness of a note increases, the perceived pitch does not change. However, if the loudness of a note decreases significantly, it may start to sound quieter and could appear to lose its pitch as it becomes less audible. Nevertheless, the actual pitch of the note remains the same.
What is the function of credit note?
Functions of credit note
How does the pitch of the note depend on the frequency?
The pitch of a note is directly related to its frequency - the higher the frequency, the higher the pitch of the note. As frequency increases, the pitch becomes higher, and as frequency decreases, the pitch becomes lower. This relationship follows a logarithmic scale, where each doubling of frequency corresponds to one octave higher in pitch.
What do you think the graph of function g(x) x plus 2 will look like Explain your thinking. Note We'll call this new function g(x) since we're already using f(x) as the name of the function x?
It is a straight line because the equation is a linear expression in x.
