rabbitz42z8
2021-11-20
Match the parametric equations with the graphs labeledI-VI. Give reasons for your choices. (Do not use a graphingdevice).
a)
b)
c)
d)
e)
f)
Salvador Fry
Beginner2021-11-21Added 12 answers
Consider the parametric equation,
This equation's graph matches with that of (V).
As t goes to infinity, both x and y go to infinity. The graph must also contain the point achieved at
This function should not have any oscillatory behavior.
The parametric equations match graph (V).
The equation's graph matches with that of (I).
As f goes to infinity, both x and y go to infinity. The only graphs that have this behavior are (V), (I) and (IV). The graph must also contain the point achieved at Only graph (I) satisifies this requirement.
This equation's graph matches with that of (II).
The graph must contain the point achieved at . Graph (II) is the only graph that satisifies this.
This equation's graph matches with that of (IV).
The graph must contain the point achieved at . Graph (IV) is the only graph that satisifies this.
This equation;s graph matches with that of (IV).
As t goes to infinity, both x and y go to infinity. The the onli graph that have this behavior are (V), (I), and (IV). However, graph (IV) is the only one that shows any oscillatory behavior.
This equation's graph matches with that of (III).
The only graphs that exhibit oscillatory behavior are graphs (III), (II), (IV), and (VI). The graph must also satisfy the fact that the point cannot be a point on the graph. Graph (III) and (IV) satisfy this requirement.
For graph (IV), as t goes to infinity, both x and y go to infinity . This is not the case for these equations.
22+64
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