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nameVoid
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x=e^(2t)
y=t+1
t= ( lnx ) / 2
y= ( lnx ) / 2 + 1
or
blah
y=t+1
t= ( lnx ) / 2
y= ( lnx ) / 2 + 1
or
blah
Last edited:
nameVoid said:x=e^(2t)
y=t+1
t= ( lnx ) / 2
y= ( lnx ) / 2 + 1
or
y= +- ( ( lnx ) / 2 + 1 ) ?
Is this the same question? How did "[itex]x= e^{2t}[/itex]" become [itex]x= e^{-2t}[/itex]?nameVoid said:x=e^(-2t)
y=t+1
Assuming you really did mean [itex]x= e^{-2t}[/itex], yes, that is correct.-2t=lnx
y=1-lnx/2
i suppose
A parametric graph is a type of graph in which the coordinates of a point are expressed as functions of a third variable, typically time. This means that both the x and y coordinates of a point are determined by a separate equation.
Unlike a Cartesian graph, which uses a single equation to represent the relationship between x and y coordinates, a parametric graph uses two separate equations to determine the coordinates of a point.
Parametric graphs are commonly used in physics and engineering to model and analyze the motion of objects, such as projectiles or vehicles. They can also be used in computer graphics to create animations and special effects.
To plot a parametric graph, you will need to plot points by substituting different values of the third variable (usually time) into the two equations that determine the x and y coordinates of each point. These points can then be connected to create a smooth curve.
Parametric graphs can be useful for representing complex relationships between two variables, as well as for analyzing motion and change over time. They also allow for more flexibility in plotting curves compared to Cartesian graphs.