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Sagot :
Answer:
[tex]x(t) = 54t[/tex] and [tex]y(t) = 134(t - 3)[/tex]
Step-by-step explanation:
Represent the swimmers with A and B
For Swimmer A:
[tex]Rate = 54m/min[/tex]
For Swimmer B:
[tex]Rate = 134m/min[/tex]
Required:
Write a parametric equation
For Swimmer A:
If swimmer A covers 54 meters in 1 minutes, then the swimmer covers 54t in t minutes
So, the function is:
[tex]x(t) = 54t[/tex]
For Swimmer B:
If swimmer A covers t minutes, swimmer B swims for (t - 3) minutes because swimmer B starts 3 minutes later.
If in 1 minutes, swimmer B covers 134 minutes; In (t - 3) minutes, the swimmer covers 134(t - 3)
So, the rate is:
[tex]y(t) = 134(t + 3)[/tex]
Hence, the parametric functions are:
[tex]x(t) = 54t[/tex] and
[tex]y(t) = 134(t - 3)[/tex]
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