Question
Asked Sep 10, 2019
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Parameterize the line of intersection of the surfaces:

x- y= z - 1

and 

x2 + y= 4

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Expert Answer

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Step 1

Given equations of surfaces are:

 

Rewriting the second equation:

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- =ニ -1 11 4 4 4 4 =1 22 22 = 1 2 2 || ||

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Step 2

This is of the form:

 

Hence, let

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cos2 0sin = 1 cos sin0 2 2 x 2 cosy 2 sin |I

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Step 3

Plugging the values in the first equation:

 

Therefore, the parametric form of the intersection is give...

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(2 cos 0(2 sin0 =: -1 4 cos2 0-4sin ==-1 --1-4(cos 0-sin2 0) 2 -14 cos 20 -=14cos 20

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