If fx=2x2-3 and gx=x+64 , find the following:
a) fg3
b) gf9
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Construct expansions in a two-individual universe of discourse for the following sentences: Predicate Logic Symbolization 1. (x)(Fx ⋅ Gx) 3. (x)[Fx (Gx ∨ Hx)] 5. (x) (Fx Gx) 7. (x)(Fx Gx) 9. (x)[Fx (Gx Hx)] 11. (∃x)[(Fx ⋅ Gx) ∨ (Hx ⋅ Kx)] 13. (∃x) [(Fx Gx) ∨ (Fx Hx)]
3 3) (Ex)(Gx Fx), (Ex) (Gx Hx) ~(ax)Fx, 4) (x)(FxGx) (3x)~Gx (Ix 3) (Ex)(Gx Fx), (Ex) (Gx Hx) ~(ax)Fx, 4) (x)(FxGx) (3x)~Gx (Ix
3 (2) (x)(Ax Bx), (Ex)(Cx Bx), (x)(CXAX) (Ex) (Gx Hx) (3) (Ex)(Gx Fx), (ax)Fx, (Ex) Gx 3x) Fx (4) (x)(Fx Gx) (2) (x)(Ax Bx), (Ex)(Cx Bx), (x)(CXAX) (Ex) (Gx Hx) (3) (Ex)(Gx Fx), (ax)Fx, (Ex) Gx 3x) Fx (4) (x)(Fx Gx)
1. Prove that “(∀x)Fx • (∀x)Gx” is equivalent to “(∀x)(Fx • Gx)”.
Find the value for the function Find fx +h) when f(x)- -2x2-3x + 3.
Find the partial derivative. Find fx (-2,3) when f(x,y) = 2x2 – 3xy - y. O A. - 10 B. 15 C. -9 OD. 14
9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4 9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4
Need help solving this symbolic logic derivation using Logic2010. ∀x(Fx∧Gx) ∴ ∀xGx
Prove Valid: 1. (z)(Pz --> Qz) 2. (Ex) [(Oy • Py) --> (Qy • Ry)] 3. (x) (-Px v Ox) 4. (x) (Ox --> -Rx) ... :. (Ey) (-Py v -Oy) 1. (x) [(Fx v Hx) --> (Gx • Ax)] 2. -(x) (Ax • Gx) ..... :. (Ex) (-Hx v Ax) 1. (x) (Px --> [(Qx • Rx) v Sx)] 2. (y) [(Qy • Ry) --> - Py] 3. (x) (Tx --> -Sx) .... :. (y) (Py --> -Ty)
Let $(x) = 2x2 and let Y = $(X). assume that Y ~ U(0,1/2) and that X is a continuous random variable. fx(x) = 0 whenever |2| > 1. Obtain an expression linking fx(x) to fx(-x) for xe (-1,1). Show that E[X] = -2/3 + 28. xfx(x) dx. Using your expression linking fx(x) and fx(-x), obtain an upper bound for E[X] and a pdf fx for which this bound is attained. [10]