3 Suppose x € Z, y € Z, z E Z, function P(x,y) is x+ y² +z= 1. Determine the truth value of the follows and explain why. Vxay3z P(x,y,z) VxVy3z P(x,y,z) VxVz3y P(x,y,z) • 3x3y Vz P(x,y)

Evaluate Jef f(x f(x, y, z) ds. f(x, y, z) = x² + y² + z² S: x² + y² = 9, 0≤x≤ 3, 0≤z≤x

Let P(x, y, z) denote the statement x³ - y³ = z. Let the universe of discourse for x, y, and z be Z‡. 3 Consider the following statements: (1) Vx Vzy P(x, y, z). (2) Vz 3x3y P(x, y, z). Select one of the following choices: (a) (1) is True and (2) is False. (c) (1) and (2) are True. (b) (1) is False and (2) is True. (d) (1) and (2) are False.

Evaluate f (xz + yz²) dV for the box B: 0 ≤ x ≤ 5, 2 ≤ y ≤ 4, 0≤z≤ 2. (Use symbolic notation and fractions where needed.) ]] (x² + y2²) dv = B