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Use Parametric Formulas

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Scholar
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Date Posted: 7/23/2008 5:50:03 PM  Status: Live
Use Parametric Formulas
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Question Details:
Find  if x = t2 and y = √t-1 using parametric formulas.
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Oracle
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Date Posted: 7/23/2008 6:18:53 PM  Status: Live
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Response:
by definition
 
 
 
 
 

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Sage
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Date Posted: 7/23/2008 6:25:59 PM  Status: Live
Asker's Rating: Helpful   
Response:
Hi,
 
For this question, first find dy which respect to dt by taking the y-equation and finding its derivative to get:
 
 
Next, look at the x-equation and finding dx/dt by finding its derivative to get:
 
 
Now, we know that if we have the following, we would be able to find dy / dx thru the following:
 
 
Now, at this point, we really have the following which can be simplified further as shown:
 
<==== FINAL ANSWER
 
I hope that helps you out!  Please let me know if you have any other questions! =)
The VC
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