Hi could you drew a truth tree for each one please 2 (3) (y)(Fy Gy)//~(x)(Fx •~Gx) (4) (3x)Wx(x)Sx // (x)(Wx > Sx)
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- Let A(x) be an open sentence with variable x. Show that the converse of (∃! x) A(x) ⇒ (∃ x) A(x) Is false. Please note that I have'nt taken a college level math course in several years (probably almost 2 decades) and am returning to college this term. I have a terrible history with, and a subsequent fear of, proofs. Any help that you can give to make me more comfortable with proofs would be greatly appreciated. Please be easy on the old man.2. Use your own predicates P(x) and Q(x) to explain why (3r, P(x)) ^ (3x, Q(x)) is not logically equivalent to 3r, (P(x) A Q(x)).What is the end behavior of each of the following y = -4x3 + 2x2 + 7 2. y = 2x3-3x* + 4 3. y = -x³ + 2x5 - 1 4. y =Ox (x - 7)(x + 5)* 5. y = x(x + 1)(x - 8)