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How is the rate of change represented in an equation?
If f(t) is some function of t (time), then the rate of change, with respect to time, is represented by f'(t). This is equal to the limit, as dt tends to zero, of {f(t+dt)-f(t)}/dt : if the limit exists.
What equation do you use to find the rate of change?
Rate of change = amount of change in some period of time/amount of time for the change
How does one figure the rate of change?
The rate of change of a function is found by taking the derivative of the function. The equation for the derivative gives the rate of change at any point. This method is used frequently in calculus.
What is the part of the slope intercept form that represents the rate of change?
y=mx +b is the equation for slope intercept form. y = the output of the equation m = the slope x = the input into the formula b = the y-intercept The slope represents the rate of change. This is because for every input, or x, you put into the equation, is changed by m. So the M portion of this equation would be the rate of change.
What is the rate of change of C equals 3h plus 20?
An equations doesn't have a rate of change, but this equation tells you that ' C ' changes 3 times as fast as ' h ' does.
How is the rate of change represented in an equation?
If f(t) is some function of t (time), then the rate of change, with respect to time, is represented by f'(t). This is equal to the limit, as dt tends to zero, of {f(t+dt)-f(t)}/dt : if the limit exists.
What is the rate of change of the quantity represented by the function d3x/dt3?
The rate of change of the quantity represented by the function d3x/dt3 is the third derivative of x with respect to t.
What is the calculus operation for finding the rate of change in an equation?
The calculus operation for finding the rate of change in an equation is differentiation. By taking the derivative of the equation, you can find the rate at which one variable changes with respect to another.
What equation do you use to find the rate of change?
Rate of change = amount of change in some period of time/amount of time for the change
What is rate of change?
Rate of change is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another. Graphically, the rate of change is represented by the slope of a line.
What is the rate of change in a linear relationship?
The rate of change equals the slope. In the basic formula y=mx+b, the rate of change is equal to m. In the equation y=5x+3, the rate of change equals 5.
How does one figure the rate of change?
The rate of change of a function is found by taking the derivative of the function. The equation for the derivative gives the rate of change at any point. This method is used frequently in calculus.
What is the part of the slope intercept form that represents the rate of change?
y=mx +b is the equation for slope intercept form. y = the output of the equation m = the slope x = the input into the formula b = the y-intercept The slope represents the rate of change. This is because for every input, or x, you put into the equation, is changed by m. So the M portion of this equation would be the rate of change.
What is the relationship between force and the rate of change of momentum, as expressed by the equation force dp/dt?
The relationship between force and the rate of change of momentum is described by the equation force dp/dt. This equation states that force is equal to the rate of change of momentum over time. In simpler terms, it means that the force acting on an object is directly related to how quickly its momentum is changing.
What is the relationship among proportional relationships lines rates of change and slope?
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.
What is the relationship between the velocity (v) of an object and its rate of change of velocity (dv/dt) as described by the equation cv du/dt?
The relationship between the velocity (v) of an object and its rate of change of velocity (dv/dt) is described by the equation cv du/dt. This equation shows that the velocity of an object is directly proportional to the rate of change of its velocity, with the constant c representing the proportionality factor.
What is the rate of change of C equals 3h plus 20?
An equations doesn't have a rate of change, but this equation tells you that ' C ' changes 3 times as fast as ' h ' does.
