
a.
Calculate the set of parametric equations to represent the graph of the rectangular equation.
a.

Answer to Problem 86RE
The parametric equations are x=t,y=2t3+5t .
Explanation of Solution
Given:
It is given in the question that the equation is y=2t3+5t and parameters are t=x .
Concept Used:
In this, use the concept of putting the parameters in the equation and draw the parametric graph of that.
Calculation:
Letting t=x , it gives the following parametric equations.
x=ty=2t3+5t
The graph of these equations are given below:
Conclusion:
The equations are x=t,y=2t3+5t .
b.
Calculate the set of parametric equations to represent the graph of the rectangular equation.
b.

Answer to Problem 86RE
The parametric equations are x=1−t,y=2(1−t)3−5t+5 .
Explanation of Solution
Given: It is given in the question that the equation is y=2t3+5t and parameters are t=1−x .
Concept Used:
In this, use the concept of putting the parameters in the equation and draw the parametric graph of that.
Calculation:
Letting t=1−x , it gives the following parametric equations.
t=1−xx=1−t
y=2x3+5xy=2(1−t)3+5(1−t)y=2(1−t)3+5−5ty=2(1−t)3−5t+5
The graph of these equations are given below:
Conclusion:
The equations are x=1−t,y=2(1−t)3−5t+5 .
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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