Original Problem: Find an equation for the surface consisting of all points 𝑃P for which the distance from 𝑃P to the 𝑥x-axis is twice the distance from 𝑃P to the 𝑦𝑧yz-plane and identify the surface. Equation I've gotten thus far is y^2+z^2=4*x^2. How would i go about plotting a 3D representation of this equation?

3D plot of equation involving variables

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Scott Stearns 2021-6-11

回答： Walter Roberson 2021-6-11

Original Problem:

Find an equation for the surface consisting of all points 𝑃P for which the distance from 𝑃P to the 𝑥x-axis is twice the distance from 𝑃P to the 𝑦𝑧yz-plane and identify the surface.

Equation I've gotten thus far is y^2+z^2=4*x^2. How would i go about plotting a 3D representation of this equation?

Walter Roberson 2021-6-11

Assuming you have found the right equation:

syms x y z real

fimplicit3(y^2+z^2==4*x^2)

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