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Tofind:the rectangular equation and graph the curve using parametric equation.
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Answer to Problem 64RE
The rectangular equation is
Explanation of Solution
Given:
Concept used:
The parametric equation has equation for each variable whereas rectangular equation has one equation
In rectangular equation it composed of variable like
To convert parametric to rectangular
Calculation:
According to the given parametric equation:
Squaring the equation
By putting the value of
Which can be written as:
The equation is of parabola.
Which is rectangular equation.
Since, the power or the degree of the equation is two so the graph will be curve line.
The graph of the equation
Here from the graph:
The graph shifted to right at a distance of
The graph lies in the positive region it shows that domain and range of the given parabolic equation is positive and the function is even function.
Hence, the rectangular equation is
Chapter 10 Solutions
Precalculus
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