Question

Asked Sep 10, 2019

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Parameterize the line of intersection of the surfaces:

x^{2 }- y^{2 }= z - 1

and

x^{2 }+ y^{2 }= 4

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Step 1

Given equations of surfaces are:

Rewriting the second equation:

Step 2

This is of the form:

Hence, let

Step 3

Plugging the values in the first equation:

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

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