You use the inverse function (if one exists).
So, if y = f(x) then x = f-1(y)
True
function composition
The curvature of a function refers to how sharply it bends or changes direction at a given point. Mathematically, for a function ( f(x) ), curvature can be quantified using the second derivative, ( f''(x) ); a positive value indicates the function is concave up, while a negative value indicates it is concave down. In a more general sense, curvature can also be defined in the context of curves in geometry, where it describes how a curve deviates from being a straight line.
x = 9/2 or x = -2 Solved by using the quadratic equation formula.
The given equation is not that of a parabola since there are no powers of 2. Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. And using ^ to indicate powers (eg x-squared = x^2).
The potential can be calculated from the wave function using the Schrödinger equation, where the potential energy operator acts on the wave function. This involves solving the time-independent Schrödinger equation to find the potential energy function that corresponds to the given wave function. The potential can be obtained by isolating the potential energy term on one side of the equation.
To reduce the expression of a mathematical equation using Mathematica, you can use the Simplify function. Simply input the equation into Mathematica and apply the Simplify function to simplify and reduce the expression.
let's take an arbitrary equation, or maybe two or three so you can see how to do it. y=2x+6 t=z^2+3z w=r^4+pi Ok, the first equation, you pick the x and put it in the equation and multiply it by 2 then add 6. If you do all this you get y. So y is really a function of x or function of x is written f(x) is the way we say this So to write the equation in function notation we write f(x)=2x+6 Same thing for the second equation z is what we put in. It is the independent variable. So t is just a function of z we write f(z)=z^2+3z Last equation is the same f(r)=r^4+pi
The solution to the Heat equation using Fourier transform is given by the convolution of the initial condition with the fundamental solution of the heat equation, which is the Gaussian function. The Fourier transform helps in solving the heat equation by transforming the problem from the spatial domain to the frequency domain, simplifying the calculations.
If 2x + 3y = 4, y= (4 - 2x)/3. In function notation, f(x) = (4 - 2x)/3.
I guess you mean an equation written in function notation, for example: f(x) = 3x + 2 For the purposes of doing math, it may help to think of this as an alternative way of writing, for example (using the function above): y = 3x + 2 It isn't clear from the question what you want to "solve", but if you write the equation this way, it might become a bit less confusing.
h(w)=100/w
If it is a linear function, it is quite easy to solve the equation explicitly, using standard methods of equation-solving. For example, if you have "y" as a function of "x", you would have to solve the variable for "x".
define function formally and using f(x) notation
Functions are typically represented using functional notation, which involves expressing the function as ( f(x) ), where ( f ) denotes the function and ( x ) is the input variable. This notation allows for clear communication of the relationship between the input and output, such as ( f(x) = x^2 + 3 ). Additionally, functions can also be described in set-builder notation or using graphs for visual representation.
Verticle line test man. If it intersects two points it is its not a function. if it hits one point it is a function. and im currently looking up to see how it is a equation...
To write the equation of a linear function given two points, you can use the slope-intercept form, (y = mx + b). First, calculate the slope (m) using the formula (m = \frac{y_2 - y_1}{x_2 - x_1}). Then, substitute one of the points into the equation to solve for the y-intercept (b). Finally, write the complete equation using the calculated slope and y-intercept.