Question
The solution of the set of constraints of a linear programming problem is a convex (open or closed) is called ______ region.
- Feasible
- Active
- Linear
- None of these
Solution:
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$(1)$ $y=\log _0\left(\frac{1+\sqrt{1-x^2}}{x}\right)-\sqrt{1-x^2}$
$(2)$ $x y^{\prime}-\sqrt{1-x^2}=0$
$(3)$ $y=-\log _0\left(\frac{1+\sqrt{1-x^2}}{x}\right)+\sqrt{1-x^2}$
$(4)$ $x y^{\prime}+\sqrt{1-x^2}=0$