Explanation

Explanation

Pulchritude means خوبصورتی

Unsightliness means بدصُورتی

Explanation

The United States transferred control of the Panama Canal to Panama on December 31, 1999, as per the Torrijos-Carter Treaties.

The canal is currently managed by the Panama Canal Authority, a government-owned entity of Panama.

Explanation

Simply Connected: A region is simply connected if every closed curve within it can be continuously shrunk to a point without leaving the region.

Multi-Connected: A region is multi-connected if it is not simply connected.

This meaning it has "holes" or other topological features that prevent some closed curves from being shrunk to a point within the region.

Explanation

Explanation

1. Intersection of $D_f$ and $D_g$: The function $\frac{f}{g}$ is defined only where both $f$ and $g$ are defined.

2. Excluding zeros of $g$: The function $\frac{f}{g}$ is undefined where $g(x)=0$ because division by zero is not allowed.

Explanation

Explanation

Explanation

u . n = 0, where n is the unit normal to the boundary

This is the impermeability condition, which states that the fluid cannot flow through the fixed boundary.

Explanation

Using Vieta's formulas, we know that α + β = 4/2 = 2 and αβ = 5/2.

Now, α^2β + αβ^2 = αβ(α + β) = (5/2)(2) = 5.