Mathematics: Find a parametric representation for the surface. the part of the hyperboloid 4x2 − 4y2 − z2 = 4 that lies in front of the yz-plane. (enter your answer as a comma-separated list of equations. let x, y, and z be in terms of u and/or v.)

Find a parametric representation for the surface.

hannahkharel2

12.03.2022

"in front of the y,z plane" probably means $x\ge0$ , in which case

$4x^2-4y^2-z^2=4\implies x=\sqrt{1+y^2+\dfrac{z^2}4}$

We can then parameterize the surface by setting y(u,v)=u and z(u,v)=v , so that $x=\sqrt{1+u^2+\dfrac{v^2}4}$ .

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breebree6929

02.06.2022

3/8 x 4
3/8 x 4/1 = 12/8
12/8 = 1 4/8
1 4/8 = 1 1/2
In 4 weeks, the puppies gained 1 1/2 pounds

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