It is the derivative of the vertical change relative to the horizontal change - if the derivative exists. So, with the typical x-y graph, it would be dy/dx. If the graph is a straight line, then it is the change in the vertical positions between any two points divided by the change in the horizontal positions between the same two points (in the same order).
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Bar chart or bar graph
The independent variable is not linearly related by the independent variable over the domain. It does not mean that there is no relationship between the variables. For example, a quadratic relationship (y = ax2 + bx + c) over a domain that is symmetric about the vertex (-b/2a) will result in a horizontal line. Similar regions can be found for any polynomial of even order.
While a curve is one continuous motion, you can create the illusion of a curve by using straight lines. In order to do this, draw a continuous pattern of short straight lines, while changing the direction of each line slightly.
To determine the order of reaction from a graph, you can look at the slope of the graph. If the graph is linear and the slope is 1, the reaction is first order. If the slope is 2, the reaction is second order. If the slope is 0, the reaction is zero order.
A graph can show us how the rate of reaction changes over time by plotting the concentration of reactants or products against time. The slope of the graph at a specific point represents the rate of reaction at that particular moment. The shape of the curve can also indicate the order of the reaction.
To prove graphically that a reaction is first order, you would plot the natural log of the concentration of the reactant versus time. If the resulting graph is linear, then the reaction is first order. This linear relationship indicates that the rate of the reaction is directly proportional to the concentration of the reactant.
To determine the rate constant k from a graph of reaction kinetics, you can use the slope of the line in a first-order reaction or the y-intercept in a second-order reaction. The rate constant k is typically calculated by analyzing the linear relationship between concentration and time in the reaction.
In a second-order reaction, the rate of the reaction is directly proportional to the square of the concentration of the reactants. This relationship is depicted on a graph as a straight line with a positive slope, showing that as the concentration of the reactants increases, the rate of the reaction also increases.
To determine the reaction order from a table of experimental data, you can plot the concentration of the reactant versus time for each experiment. The reaction order is determined by the slope of the line on the graph. If the slope is constant, the reaction is first order. If the slope doubles, the reaction is second order. If the slope triples, the reaction is third order.
The order of a reaction can be determined graphically by analyzing concentration versus time data. For a first-order reaction, plotting ln(concentration) versus time should give a straight line. For a second-order reaction, plotting 1/concentration versus time should give a straight line. The slope of the line in these graphs reveals the order of the reaction.
To determine the order of reaction using concentration and time data, one can plot the natural logarithm of the concentration of the reactant against time. The slope of the resulting graph will indicate the order of the reaction. If the slope is constant, the reaction is first order; if the slope doubles, the reaction is second order; and if the slope triples, the reaction is third order.
You can use the steepness, or slope, of a line in a distance-time graph to determine the speed of an object if speed is constant. The slope of the line is calculated by dividing the change in distance by the change in time for that time interval.
It is the derivative of the vertical change relative to the horizontal change - if the derivative exists. So, with the typical x-y graph, it would be dy/dx. If the graph is a straight line, then it is the change in the vertical positions between any two points divided by the change in the horizontal positions between the same two points (in the same order).
Ordered pairs are used to locate points on the graph. The first number in an ordered pair corresponds to the horizontal axis, and the second corresponds to the vertical axis.
To calculate distance from a velocity time graph, find the area under the velocity-time curve. If the graph is above the time axis, sum the areas of each individual shape formed between the curve and the time axis. If the graph is below the time axis, subtract the areas of the shapes below the time axis from the areas above the time axis.