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The equation f 0 signifies that the function f is equal to zero.

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3mo ago

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How do you find the x-intercept of a graph from the equation?

Solve f(x) =0 or y = 0 (depending on how the equation is given).


How can you determine the rate of change and initial value of a relation from its equation?

If the equation is of the form y = f(x) where f is some function of the variable x, then The initial value is found by evaluation f(0): that is, the value of f(x) when x = 0. The rate of change is the derivative of f(x) with respect to x, written as f'(x). That is the limit (if it exists), as dx tends to 0, of [f(x+dx) - f(x)]/dx. In the simple case, where f(x) is a linear equation of the form y = mx + c, then f(0) = c and f'(x) = m


What is the relationship between the y-intercept of the line and the equation?

It is the value of the equation y = f(x) when x = 0.


What is the rate of change in the equation x equal 9?

0. Differentiation of a constant gives f'(x)=0.


0 degrees c is equal to how many degrees f?

The conversion equation is F = (9/5)C + 32. To convert 0 deg. C to F, replace C with 0, and the answer is 32 deg. F, or the freezing point of water.


What are the natures of a root in mathematics?

When we solve an equation in mathematics we say that we find its root. Let f(x) = 0 be an equation. A root of the equation is a value k such that f(k) = 0. If f(x) is a polynomial, then f(x) = 0 is a polynomial equation. By the Factor Theorem, k is a root of this equation if and only if (x - k) is a factor of f(x). If (x - k) is a factor of f(x), then k is a simple root. If (x - k)^2 is a factor of f(x), then k is a double root. If (x - k)^3 is a factor of f(x), then k is a triple root, and so on. Thus, we can say that a root of order n, where n = 2 or n > 2, is a multiple (or repeated) root.


How do you determine the x-intercept given an equation?

Put f(x) = 0 and solve for x.


How do you rewrite a equation as a function of x?

You need it in the form f(x)= ... (whatever your equation happens to be). i.e get the equation in the form y=... Then swap the 'y' for 'f(x)'. Simple.


Substitute f 2y in f x 2x 3x-?

The substitute of F in the equation F times 2 X times 3 X would be 0. This is taught in math.


What does f(0) in physics?

In physics, f(0) typically represents the value of a function at a specific point, such as time t=0. This could be used to represent initial conditions or starting values in a physics equation or system.


What is Laplace transform?

A Laplace transform is a mathematical operator that is used to solve differential equations. This operator is also used to transform waveform functions from the time domain to the frequency domain and can simplify the study of such functions. For continuous functions, f(t), the Laplace transform, F(s), is defined as the Integral from 0 to infinity of f(t)*e-stdt. When this definition is used it can be shown that the Laplace transform, Fn(s) of the nth derivative of a function, fn(t), is given by the following generic formula:Fn(s)=snF(s) - sn-1f0(0) - sn-2f1(0) - sn-3f2(0) - sn-4f3(0) - sn-5f4(0). . . . . - sn-nfn-1(0)Thus, by taking the Laplace transform of an entire differential equation you can eliminate the derivatives of functions with respect to t in the equation replacing them with a Laplace transform operator, and simple initial condition constants, fn(0), times a new variable s raised to some power. In this manner the differential equation is transformed into an algebraic equation with an F(s) term. After solving this new algebraic equation for F(s) you can take the inverse Laplace transform of the entire equation. Since the inverse Laplace transform of F(s) is f(t) you are left with the solution to the original differential equation.


What is Roots of equation?

The roots of an equation of the form y = f(x), are those values of x for which y = 0. If plotted on the coordinate plane, these are the points where the graph of y against x crosses (or touches) the x axis.