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What else can I help you with?
How do you write 4sin6xcos6x as a function of a single variable?
4 sin(6x) cos(6x) is already a function of a single variable. The variable is ' x '.
What is the function definition?
function is the relationship between independent variable & dependent variable i.e. F:R-R
What is nonlinear volterra integral equation?
A nonlinear Volterra integral equation is a type of integral equation where the unknown function appears under an integral sign and the relationship involves nonlinear terms. It typically has the form ( u(t) = f(t) + \int_{a}^{t} K(t, s, u(s)) , ds ), where ( K ) is a nonlinear kernel, ( f ) is a known function, and ( u(t) ) is the unknown function to be determined. These equations are often encountered in various fields such as physics, engineering, and biology, where they model systems with memory and time-dependent interactions. Solving nonlinear Volterra integral equations can be challenging, often requiring numerical methods or iterative approaches.
What is a derivative of inspired?
Inspired could be though of as an integer as it does not have an exponent. d/dx(inspired) = 0 ==== Or, as a variable with the implied exponent 1. Using the power rule. d/dx(inspired 1 - 1) = inspired0 = 1 ====
How do you identify the range of a function?
The range of a function is the interval (or intervals) over which the independent variable is valid, i.e. results in a valid value of the function.
What is unique about the linear function?
Each variable has an exponent equal to one.
What is a nonlinear relationship?
In mathematics, when the dependent variable is not proportional to the independent variable. The function does not vary directly with the input. Example: y=sin (x).
What one thing in this function tells you it will be nonlinear?
The presence of any term that is not a constant or a multiple of the independent variable. It can be any other power of that variable, or a trigonometric or exponential or any other function.
When multiplying a variable with an exponent with a variable that doesn't have an exponent do you add the exponent or subtract it multiply it?
When multiplying a variable with an exponent by a variable without an exponent, you add the exponent of the first variable to the exponent of the second variable (which is considered to be 1). For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3). This rule applies to variables with the same base.
What is meaning of exponent with variable?
That you have an exponential function. These functions are typical for certain practical problems, such as population growth, or radioactive decay (with a negative exponent in this case).
How can you determine if a function is a quadratic function from its equation?
If the highest exponent of independent variable(say x) is 2 and the highest exponent of dependent variable(say y) is 1 and x and y are not multiplied, then the function is quadratic. For example: 3x-y+x2= 2y-5x+7 represents a quadratic function but y= xy+x2+5 doesn't represent a quadratic function.
Can you multiply a variable with an exponent with a variable without an exponent?
Yes, you can multiply a variable with an exponent by a variable without an exponent. When you do this, you simply add the exponents of the same base. For example, if you multiply (x^2) by (x), the result is (x^{2+1} = x^3).
What is usually the second step when solving a system of nonlinear equations by substitution?
The second step when solving a system of nonlinear equations by substitution is to solve one of the equations for one variable in terms of the other variable(s). Once you have expressed one variable as a function of the other, you can substitute that expression into the other equation to create a single equation in one variable. This allows for easier solving of the system.
In exponential growth functions the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1 How would the function change if the base of the expon?
"The base of the exponent" doesn't make sense; base and exponent are two different parts of an exponential function. To be an exponential function, the variable must be in the exponent. Assuming the base is positive:* If the base is greater than 1, the function increases. * If the base is 1, you have a constant function. * If the base is less than 1, the function decreases.
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.
True or false In a nonlinear equation each variable must only have one solution?
In a nonlinear equation, each variable must only have one solution.
Intricate examples of nonlinear function?
Here is a simple example of a nonlinear function. Y = X2 =====Build on that!
