Even numbers on a die = 2, 4, 6. Probability = 3/6 = 1/2.

The even numbers on a die are 2, 4, and 6. There are 3 even numbers out of 6 total numbers, so the probability is 3/6 = 1/2.

There are 5 vowels (A, E, I, O, U) in the English alphabet of 26 letters. Therefore, P(vowel) = 5/26.

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

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

z1 * z2 = (1 + i)(1 - i) = 1 - i^2 = 1 + 1 = 2.

The product of the roots is c/a = -5/2.

Using Vieta's formulas, the product of the roots is 1/2 (c/a = 1/2).

The product of the roots is given by c/a = 2/3.

The product of the roots is given by c/a = 9/3 = 3.

The product of the roots is given by c/a = 8/1 = 8.

The product of the roots is given by c/a = 15/1 = 15.

Projection = (a · b / |b|^2) * b = (3*1 + 4*0) / 1^2 * (1, 0) = 3 * (1, 0) = (3, 0).

Projection = (A . B / |B|^2) * B = (3*1 + 4*2) / (1^2 + 2^2) * (1, 2) = 11/5 * (1, 2) = (2.2, 4.4).

The radius is the square root of 16, which is 4.

The range of sin^(-1)(x) is [-π/2, π/2].

Range = Maximum value - Minimum value = 30 - 15 = 15.

Range = Maximum - Minimum = 30 - 15 = 15.

Range = Maximum value - Minimum value = 8 - 3 = 5.

Range = Maximum value - Minimum value = 20 - 5 = 15.

Range = max - min = 30 - 5 = 25.

Range = Maximum - Minimum = 25 - 5 = 20.

Range = Maximum - Minimum = 15 - 5 = 10.

Range = Maximum - Minimum = 50 - 10 = 40.

Range = Maximum - Minimum = 25 - 5 = 20.

The function is a downward-opening parabola with a maximum value of 4, so the range is (-∞, 4].

The function f(x) = x^2 has a minimum value of 0, so its range is [0, ∞).

The range of sin^(-1)(x) is (-π/2, π/2).

The range of y = cos^(-1)(x) is [0, π].

The range of y = sin^(-1)(x) is [-π/2, π/2].