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 F = (Use symbolic notation and fractions where needed.) (6x-2zx²,4z - xy, 8z²x²). Calculate div (F) and curl (F). div (F) = Incorrect curl (F) = 6-4xz-x+16z²x (-4,-162²x-2x²-y)#9Suppose that A = and B = for some real numbers x and y. Find 9 у all ordered pairs (x, y) such that AB = BA. (Enter your answer as a list of ordered pairs; for example, (1,2), (3,4), (5,6) .) Answer: (0,3),(0,-3),(0,9),(1,0)
- What is the ordered pair of the removeable discontinuity han g(x) x² + 4x + 3, 8. x- -x- 2 A (-1,-) B (-1,0) c (1,-) D (2,1)need help!! Determine the value of each of the following expressions with the table: a) f(g(1))b) g(f(1))c) f(f(1))d) g(g(1))e) (g o f)(3)f) (f o g)(6)Please help me solve this and solve into detail. For this Big Problem, we’re going to experiment with some unusual relations. The relation⋆ means “this number written out in English has this many letters”. For example, 6 ⋆ 3because the word “six” has 3 letters in it. (1) List the elements of ⋆ on {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (2) Draw a digraph of ⋆ on {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Remember that a digraph just hasone copy of each element! (3) Is ⋆ reflexive, antisymmetric, symmetric, and/or transitive? Explain your answer. (4) Pick another language and let the relation ♡ mean “this number written out in [yourlanguage] has this many letters”. List the elements of ♡ on {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (5) Draw a digraph of ♡ on {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (6) Is ♡ reflexive, antisymmetric, symmetric, and/or transitive? Explain your answer. (7) Look at your digraph of ⋆ from question two. Imagine starting at 10 and followingthe arrows as far as you can. Where do you end up?…