Show that the path traced by the point of intersection of three mutual perpendicular tangent planes to the ellipsoid #ax^2+by^2+cz^2=1# is a sphere with the same centre as that of the ellipsoid.?
Show that the path traced by the point of intersection of three mutual perpendicular tangent planes to the ellipsoid #ax^2+by^2+cz^2=1# is a sphere with the same centre as that of the ellipsoid.
Show that the path traced by the point of intersection of three mutual perpendicular tangent planes to the ellipsoid
See below.
Calling If Let but Now given three orthogonal planes and calling and as a consequence then we have also Now adding and finally but so which is the path traced by the point of intersection of three mutual perpendicular tangent planes to the ellipsoid. Attached a plot for the ellipsoid
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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