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Rate of change = amount of change in some period of time/amount of time for the change
The answer depends on what information you are given - and in what form. If the equation of the curve is given in polar coordinates or in parametric form, the process is quite different to that required when given the Cartesian equation.
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.
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.
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.
Rate of change = amount of change in some period of time/amount of time for the change
The answer depends on what information you are given - and in what form. If the equation of the curve is given in polar coordinates or in parametric form, the process is quite different to that required when given the Cartesian equation.
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You can determine if a rate of change is constant, by taking the instantaneous rate of change at multiple points - if they are all equal to each other, it can be assumed that the rate of change is constant. Alternatively, you can differentiate the function (if there is an associated function) - if this comes to a constant i.e. a number, then the rate of change is constant.
The rate law equation relates the rate of a reaction to the concentrations of reactants. By examining the exponents of the concentrations in the rate law, one can determine how changes in the concentration of reactants affect the rate of the reaction. For example, if the exponent of a certain reactant is 2, doubling its concentration would quadruple the rate of the reaction according to the rate law equation.
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.
To determine the rate of change of a system.
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.
The rate of a chemical reaction is typically calculated by measuring the change in concentration of a reactant or product over time. This can be determined by plotting a graph of concentration against time and calculating the slope to find the rate. Alternatively, you can use the rate equation derived from the experimental data to determine the rate constant.
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.
The rate law uses the concentrations of reactants to determine the rate of a reaction. By experimentally determining the relationship between the rate of reaction and the concentrations of reactants, we can derive the rate law equation for that specific reaction.