Question

Use appropriate software to sketch each of the following surfaces and identify it.

4(x+1)²+2(y-2)²+(z-1)²=1

Answer 1

$4(x+1)^2+2(y-2)^2+(z-1)^2=1$

$\Rightarrow \frac{(x+1)^2}{1/4}+\frac{(y-2)^2}{1/2}+\frac{(z-1)^2}{1}=1$

The above equation represents an Ellipsoid.

Graph :-

x-y Trace :-

x-z Trace :-

y-z Trace :-