The conjugate of a complex number a + bi is a - bi. Thus, the conjugate of 5 - 2i is 5 + 2i.

The constant term occurs when 2k - 5 = 0, k = 2. The term is C(5,2)(-3)^3(2^2) = 10 * -27 * 4 = -1080.

The continuity equation states that the product of the cross-sectional area (A) and the velocity (V) of a fluid remains constant along a streamline.

Centroid = ((0+6+3)/3, (0+0+6)/3) = (3, 2).

In a face-centered cubic (FCC) lattice, each atom is surrounded by 6 other atoms, giving it a coordination number of 6.

In a face-centered cubic (FCC) structure, each atom is in contact with 12 other atoms, giving it a coordination number of 12.

In the complex [Co(NH3)6]3+, there are six ammonia (NH3) ligands coordinated to the cobalt ion, giving it a coordination number of 6.

In the complex ion [Co(NH3)6]Cl3, the central metal ion Co is surrounded by 6 ammonia (NH3) ligands, which gives it a coordination number of 6.

In the complex [Co(NH3)5Cl]Cl2, cobalt is surrounded by five ammonia ligands and one chloride ligand, giving it a coordination number of 6.

The coordination number is determined by the number of ligands attached to the central metal ion. Here, Co is surrounded by 6 NH3 ligands.

In the complex [Co(NH3)5Cl]Cl2, cobalt is surrounded by five ammonia ligands and one chloride ligand, giving it a coordination number of 6.

The critical angle θc can be calculated using sin(θc) = 1/n. Thus, θc = sin^(-1)(1/1.5) = sin^(-1)(0.6667) ≈ 41.81 degrees, which is closest to 60 degrees.

A × B = |i  j  k| |1  1  0| |0  1  1| = i(1*1 - 0*1) - j(1*1 - 0*0) + k(1*0 - 1*0) = i - j.

Using Ohm's law, I = V/R = 20V/10Ω = 2 A.

Using Ohm's law, I = V/R = 20V / 10Ω = 2A.

Using Ohm's law, I = V/R = 24V / 12Ω = 2A.

Using Ohm's law, I = V/R = 48V / 12Ω = 4A.

Using Ohm's law, I = V/R = 48V / 12Ω = 4A.

Using Ohm's law, I = V/R = 48V / 12Ω = 4A.

Using Ohm's law, I = V/R = 48V / 12Ω = 4A.

Using Ohm's law, I = V/R = 45V / 15Ω = 3A.

λ = h / p = h / (mv) = 6.63 x 10^-34 / (9.11 x 10^-31 * 1 x 10^6) = 6.63 x 10^-24 m.

The derivative f'(x) = d/dx(1/x) = -1/x^2.

f'(x) = 6x^2 - 18x + 12.

The derivative f'(x) = d/dx(3x^2 + 5x - 7) = 6x + 5.

The derivative f'(x) = d/dx(5x^4) = 20x^3.

Using the chain rule, f'(x) = d/dx(e^(2x)) = 2e^(2x).

The derivative f'(x) = d/dx(x^3 - 4x + 6) = 3x^2 - 4.

The derivative f'(x) = d/dx(x^3 - 4x) = 3x^2 - 4.

The derivative f'(x) = d/dx(x^4 + 2x^3 - x + 1) = 4x^3 + 6x^2 - 1.