Identify the surface and the axis of symmetry corresponding to the equation −x2+36y2+36z2=9.
Added by Victor H.
Step 1
The given equation is \(-x^2 + 36y^2 + 36z^2 = 9\). To rewrite it in standard form, we can divide the entire equation by 9: \[ \frac{-x^2}{9} + \frac{36y^2}{9} + \frac{36z^2}{9} = 1 \] This simplifies to: \[ -\frac{x^2}{9} + 4y^2 + 4z^2 = 1 \] Show more…
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