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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.
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Is the function y8x linear or nonlinear?
linear
Is the perimeter of a square a linear or nonlinear function of the length of one of its sides?
linear, if side is x then perimeter is 4x
Is y equals x2 a nonlinear equation?
If you mean y = x2, then yes, it is nonlinear.
Examples of nonlinear equations?
y=x2 and y=lnx are two examples of nonlinear equations.
What is nonlinear scale?
Nonlinear scaling is a scaling where the difference between each major unit of measure is not the same. For example, see logarithmic scale.
Intricate examples of nonlinear function?
Here is a simple example of a nonlinear function. Y = X2 =====Build on that!
Is the function y8x linear or nonlinear?
linear
How can you tell by looking at the graph of a function that it is nonlinear?
A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear
What is a nonlinear function in which the variable is in the exponent?
Maybe possibly a piece-wise function...
Is y 7 over x a nonlinear function?
No it is not.
What is the use of a differential?
Differentials can be used to approximate a nonlinear function as a linear function. They can be used as a "factory" to quickly find partial derivatives. They can be used to test if a function is smooth.
SWhat is an example of a real life nonlinear function?
a roller coaster. It doesnt have a constaant rate of change
How can you tell by looking only at the equation of a function with no graph that it is nonlinear?
To be linear, there should only be constants, and variables with constant coefficients. No powers of variables, or numbers raised to the power of a variable, or any other nonlinear function such as log, ln, sin, cos, tan, cosh, etc.
What is the significance of the logarithm function when raised to the power of two, commonly denoted as "log squared"?
The significance of the logarithm function raised to the power of two, or "log squared," is that it allows for a nonlinear transformation of data. This can be useful in certain mathematical and scientific applications where a nonlinear relationship needs to be represented or analyzed.
Is the perimeter of a square a linear or nonlinear function of the length of one of its sides?
linear, if side is x then perimeter is 4x
What is a nonlinear scale?
A scale that is nonlinear. ~
Is the following function linear or nonlinear If linear, state the rate of change?
o function is given. However, if linear , then the rate of change is the same as the steepness of the graph line.
