In series, R_eq = R1 + R2 = 4Ω + 6Ω = 10Ω.

Total resistance R = 4Ω + 6Ω = 10Ω. Voltage V = I * R = 2A * 10Ω = 20V.

In series, R_total = R1 + R2 = 5Ω + 10Ω = 15Ω.

The complement A' consists of all elements in U that are not in A. Therefore, A' = {3, 4, 5}.

2(3^2) - 5(3) + 1 = 18 - 15 + 1 = 4.

Substituting x = 5, we get 2(5) + 3 = 10 + 3 = 13.

3(5) + 2 = 15 + 2 = 17.

Molar mass of H2SO4 = 2*1 + 32 + 4*16 = 98 g/mol. Mass = 0.25 moles x 98 g/mol = 24.5 g.

|z| = √((-2)^2 + (2)^2) = √(4 + 4) = √8 = 2√2.

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

z² = (1 + i)² = 1² + 2(1)(i) + i² = 1 + 2i - 1 = 2i.

The argument is given by tan^(-1)(√3/1) = π/3.

|z|^2 = (2^2 + 2^2) = 4 + 4 = 8.

The conjugate of z = 2 - 3i is 2 + 3i.

The imaginary part of the complex number z = 3 + 4i is 4.

z + z* = (3 + 4i) + (3 - 4i) = 6.

z + z̅ = (3 + 4i) + (3 - 4i) = 6.

|z|^2 = 3^2 + 4^2 = 9 + 16 = 25.

The real part of the complex number z = 4 + 3i is 4.

The argument of z = 5 + 12i is given by arctan(12/5).

The imaginary part of the complex number z = 5 + 12i is 12.

The determinant of \( B \) is \( 2*4 - 3*1 = 8 - 3 = 5 \).

The determinant is calculated as \( 0*0 - 1*1 = 0 - 1 = -1 \).

The determinant is \( 1*1 - 1*1 = 1 - 1 = 0 \).

The determinant is \( 1*1 - 1*1 = 1 - 1 = 0 \).

In a body-centered cubic (BCC) structure, there are 2 atoms per unit cell (1 from the center and 1 from the corners).

A buffer solution typically consists of a weak acid and its conjugate base (salt), which helps to resist changes in pH when small amounts of acid or base are added.

A buffer solution is made from a weak acid and its conjugate base (salt), which helps maintain pH.

Capacitance (C) is defined as C = Q/V. If the charge (Q) is doubled while the voltage (V) remains constant, the capacitance also doubles.

Increasing the plate area while keeping the distance constant increases the capacitance, as capacitance is directly proportional to the area of the plates.