Vector Functions and Space Curves: Examples

1. Change the following vector equation into component functions and parametric equations:
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Answer:

 

Use the definition of component functions and parametric equations to change the vector function into the correct forms:

Component Functions
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Parametric Equations

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2. Find the limit of the following:
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Answer:

 

To find the limit, take the limit of each component as t approaches 2 :
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