The characteristic equation has a repeated root r = 2. The general solution is y = (C1 + C2x)e^(2x).

The melting points of alkali metals generally decrease as you move down the group due to the increase in atomic size and decrease in metallic bonding strength.

Ionization energy generally increases across a period due to increasing nuclear charge.

DNA (deoxyribonucleic acid) is the genetic material that carries the instructions for life.

The solution represents the point where the lines intersect, if they do.

The solution to a system of linear equations in two variables is represented by the point where the two lines intersect.

The solution to a system of two linear equations is represented by the point where the two lines intersect.

Linear equations represent straight lines in a two-dimensional space.

The equation x + 2y = 4 represents a straight line in a two-dimensional space.

The geometry is tetrahedral when there are four bonding pairs and no lone pairs around the central atom.

A molecule with four bonding pairs and no lone pairs has a tetrahedral geometry.

Molecules with sp3d hybridization have a trigonal bipyramidal geometry.

The geometry is linear when there are two bonding pairs and no lone pairs on the central atom.

The geometry of [Ag(NH3)2]+ is linear due to the presence of two ligands.

The complex [Ag(NH3)2]+ has a linear geometry due to the presence of two ligands around the silver ion.

The geometry of the complex ion [Cu(NH3)4]2+ is square planar.

[Ni(CN)4]2- has a square planar geometry due to the presence of 4 ligands around the nickel ion.

The geometry of [Ag(NH3)2]+ is linear due to the coordination number of 2.

The geometry of [Ag(NH3)2]+ is linear due to the presence of two ligands.

At equilibrium, the Gibbs Free Energy change (ΔG) is zero, indicating that the system is at its lowest energy state.

For a spontaneous process, the Gibbs free energy change is negative.

The gravitational field strength at a distance r from the center of a planet is given by g = GM/r^2.

Inside a uniform sphere, the gravitational field strength varies linearly with distance from the center, so at R/2 it is g/2.

g = G * M / r² = (6.67 × 10^-11) * (100) / (10²) = 6.67 × 10^-10 N/kg

g = GM/r², at 3R, g = GM/(3R)² = GM/9R².

Gravitational field strength (g') = g / (distance^2) = g / (3R)^2 = g / 9.

g = GM/r²; at 3R, g = GM/(3R)² = G/9.

Gravitational field strength decreases with the square of the distance. At 3R, it is g/9.

g = GM/r²; at 4R, g = GM/(4R)² = GM/16R².

Gravitational field strength g = GM/r². At 4R, g = GM/(4R)² = GM/16R² = G/16.