Answer:
Step-by-step explanation:
Given that:
This implies that the level curves of a function(f) of two variables relates with the curves with equation f(x,y) = c
here c is the constant.
By cross multiply
From (2); let assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.
Now,
This is the equation for the family of the eclipses centred at (0,0) is :
Therefore; the level of the curves are all the eclipses with the major axis:
and a minor axis
which satisfies the values for which 0< c < 100.
The sketch of the level curves can be see in the attached image below.
