Traveling east and then south places you in the south-east direction from the start.

You return to your starting point, so you are 0 miles away.

Traveling south and then east places you in the south-east direction from the start.

Turning left from east will point you north.

Turning left from south means you will be facing north.

Investing in Product A is recommended due to its consistent growth trend.

Based on the growth trend, a reasonable estimate for Product B's sales in Q5 would be 700 units.

Product B ranks the highest based on its average sales per quarter.

Product D would be last based on its Q4 sales figures.

Product D shows fluctuating sales across the quarters as per the table.

The modulus of z = -1 + i is |z| = √((-1)² + 1²) = √(1 + 1) = √2. The square of the modulus is |z|² = 2.

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

The real part of a complex number z = a + bi is a. Here, the real part is -3.

The conjugate of z = 1 + i is z̅ = 1 - i.

z^3 = (1 + i)^3 = 1 + 3i - 3 - i = -2 + 2i.

z^4 = (1 + i)^4 = (2e^(iπ/4))^4 = 16e^(iπ) = -16.

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

z^3 = (1 + i)^3 = 1 + 3i - 3 - i = -2 + 2i.

z^4 = (1 + i)^4 = 4i.

|z|² = (1)² + (1)² = 1 + 1 = 2.

The argument of a complex number z = a + bi is given by θ = tan⁻¹(b/a). Here, θ = tan⁻¹(1/1) = π/4.

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

z^3 = (1 + i)^3 = 1 + 3i + 3i^2 + i^3 = 1 + 3i - 3 - i = -2 + 2i.

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

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

The argument θ = tan^(-1)(√3/1) = π/3.

The conjugate of a complex number z = a + bi is given by z* = a - bi. Thus, the conjugate of z = 1 + i√3 is 1 - i√3.

|z| = √(1^2 + (√3)^2) = √(1 + 3) = √4 = 2.

|z|^2 = (1)^2 + (√3)^2 = 1 + 3 = 4.

|z| = √(1^2 + (√3)^2) = √(1 + 3) = √4 = 2.