The diamond structure can be described as a face-centered cubic (FCC) lattice with a basis of two carbon atoms.

The SI unit of electric charge is Coulomb (C).

Coulomb (C) is the SI unit of electric charge.

The unit of electric current is the Ampere, which measures the flow of electric charge.

In the CGS system, the unit of energy is Erg, where 1 Joule = 10^7 Ergs.

Energy is measured in Joules, and 1 Joule is defined as 1 Newton-meter, hence both A and B are correct.

The SI unit of energy is Joule (J).

The unit of force (Newton) is derived from mass, length, and time: kg·m/s².

The SI unit of force is the Newton (N).

The SI unit of power is defined as Joule per second (Watt).

The SI unit of power is the Watt (W).

The SI unit of pressure is Pascal (Pa), defined as one newton per square meter (N/m²).

The SI unit of pressure is Pascal (Pa), defined as one newton per square meter (N/m²).

One joule is defined as one newton meter (N·m).

The United Nations Framework Convention on Climate Change (UNFCCC) was established in 1992 during the Earth Summit in Rio de Janeiro.

The United Nations was founded in 1945 after World War II to promote peace and cooperation among countries.

The Universal Declaration of Human Rights was adopted by the United Nations General Assembly on December 10, 1948.

Flying buttresses were primarily developed during the Medieval period, particularly in Gothic architecture, to support the walls of cathedrals.

The Renaissance period saw the significant development of perspective in painting, allowing artists to create a sense of depth and realism in their works.

(1 + i)^2 = 1^2 + 2(1)(i) + i^2 = 1 + 2i - 1 = 2.

Using the power of a power property, (a^m)^n = a^(m*n), we get (x^2)^3 = x^(2*3) = x^6.

Using the right triangle definition, cos(tan^(-1)(x)) = adjacent/hypotenuse = 1/√(1+x^2).

Since 32 = 2^5, log2(32) = 5.

Since 32 = 2^5, log_2(32) = 5.

Using the right triangle definition, sin(tan^(-1)(x)) = opposite/hypotenuse = x/√(1+x^2).

sin^(-1)(-1) corresponds to the angle whose sine is -1, which is -π/2.

Since π/4 is in the range of sin^(-1), sin^(-1)(sin(π/4)) = π/4.

sin^(-1)(√3/2) corresponds to the angle whose sine is √3/2, which is π/3.

tan^(-1)(√3) corresponds to the angle whose tangent is √3, which is π/3.

To find the vertex, use the formula x = -b/(2a). Here, a = 2, b = -4, so x = 1. Plugging x = 1 into the equation gives y = -1.