15 Points A rubber inflatable tube (mass = 1.5 kg) is being pulled upward along an icy incline of 15° by use of a mass (mass = 2.5 kg) hanging vertically 0.75m meters above the ground.  The rubber tube starts from rest at the bottom of the incline and accelerates upward until the vertical mass hits the ground.  Once the mass hits the ground, the rope breaks and the tube continues to move upward until stopping.  Then it moves down the incline, back to the bottom of the hill.  (Friction exists between the rubber tube and the incline) What is the acceleration of the system and the tension in the rope? How fast is the tube moving when the vertical block hits the ground?  

Write truth table for f = (p ^ ~q) v (q -> p).

Factor the polynomial completely and choose a viable factor.  y(x – 4) + 6(x – 4)

Factor the polynomial completely and choose a viable factor.  3×2 + 3x – 6

Factor the polynomial completely and choose a viable factor.  27y3 – 64×3

Factor the polynomial completely and choose a viable factor.  64 + t3

Solve the equation and be sure that your answer is simplified as much as possible.   x2 – 10x + 1 = 0

(Chapter 4) What is the main purpose of local search algorithms?

(Chapter 8) What does first-order logic add to propositional logic?

(Chapter 11) How does planning under uncertainty differ from classical planning?