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
4(x+1)2+2(y−2)2+(z−1)2=14(x+1)^2+2(y-2)^2+(z-1)^2=14(x+1)2+2(y−2)2+(z−1)2=1
⇒(x+1)21/4+(y−2)21/2+(z−1)21=1\Rightarrow \frac{(x+1)^2}{1/4}+\frac{(y-2)^2}{1/2}+\frac{(z-1)^2}{1}=1⇒1/4(x+1)2+1/2(y−2)2+1(z−1)2=1
The above equation represents an Ellipsoid.
Graph :-
x-y Trace :-
x-z Trace :-
y-z Trace :-
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