either prove that the wff is a valid argument or give an interpretation in which it is false. (∃x)P(x) ^ (∃x)(∃y)Q(x, y) → (∃x)(∃y)[P(x) ^ Q(x, y)]

For the function f given by S(z) = 32 +3 evaluate f(z + h) – f(z) a) 06h +3z b) 0-6h +3r c) 06h + 6z d) 03h + 6z e) O-3h + 6z f) ONone of the above

Let T (c, d) mean “c is taller than d,” G(c) mean “c is a giraffe,” N (c)mean “c is a gnu,” L(c) mean “c is a lion, and Z(c) mean “c is a zebra.Then from the axioms(I) (∀c)(∀d)(G(c) →(N (d) →T (c, d))) (every giraffe is taller than everygnu),(II) (∃c)(N (c)∧(∀d)(L(d) →T (c, d))) (some gnu is taller than every lion),and(III) (∃c, d)(L(c) ∧Z(d) ∧T (c, d)) (some lion is taller than some zebra),1prove that every giraffe is taller than some zebra, i.e.,(∀c)(G(c) →(∃d)(Z(d) ∧T (c, d))).

Solve the problem. Describe all solutions of Ax = b, where 2-5 31 A = -2 6-5 70 and b = 310 Describe the general solution in parametric vector form. -3 G -8-17-0

x² + 1 f(x) = (x – 4)(x + 7) Complete the statement As x → 4+,f(x) → ..

X1 + x2 X2 - X3 X1 + 2x4 [x2 – x3 + 3x4] 8. Determine [T]B if T and B = 1

Simply and give answer in the form of F(c) G(c)