The manipulated variable in an experiment is the independent variable; it is not affected by the experiment's other variables. HowStuffWorks explains that it is the variable the experimenter controls. When there are control and experimental groups, the manipulated variable is the treatment supplied to the experimental group and denied the control group.Know More
When a scientist graphs the results of an experiment, he graphs the manipulated variable on the x-axis of the graph. One common manipulated variable is time. The scientist controls the time at which he makes the measurements. The y-axis represents the response or dependant variable. Temperature is a common response variable.
Because it is easy to confuse variables in the experiment, About.com offers the mnemonic DRY MIX to help students. It translates: dependant, response, y-axis; manipulated, independent, x-axis. Another way to help keep these values from being confused is through remembering that the independent variable is the "I do" variable.
In addition to manipulated variables and response variables, experiments often include controlled and extraneous variables. Controlled variables are those which the experimenter attempts to keep the same for both groups. Extraneous variables often change the outcome of the experiment in an accidental or unanticipated way. While the experimenter does not graph these variables, it is important for him to keep a record of them in his notes.Learn More
The definition of a limit in calculus is the value that a function gets close to but never surpasses as the input changes. Limits are one of the most important aspects of calculus, and they are used to determine continuity and the values of functions in a graphical sense.Full Answer >
The derivative of y = arctan(6x) is 6/(1 + 36 x^2). To arrive at this answer, it is simply a matter of using the formula given for finding the derivative of the inverse tangent function. The formula is that for arctan (u) the derivative is du/(1 + u^2).Full Answer >
The solutions to sin(2x)+sin(x)=0 is 0, 120 and 240 degrees. The sin(2x) can also be expressed as 2sin(x)cos(x), making the equation 2sin(x)cos(x)+sin(x)=0.Full Answer >
Find the equation for the tangent line to a curve by finding the derivative of the equation for the curve, then using that equation to find the slope of the tangent line at a given point. Finding the equation for the tangent line requires a knowledge of calculus and the formula for the slope.Full Answer >