Either prove the wff is valid or give an interpretation that is false: (p.71) 18. (EEx)[R(x) V S(x)]-> (EEx)R(x) V (EEx)S(x) 28. (AAY)[P(x) V Q(x)] A (EEx)Q(x) -> (EEx)P(x)

Q: (b) How can you use vectors to determine whether four points in 3-space lie in the same plane? 2.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: if y = x+ v3+ 2x then prove that (3+2x2) + 2x 2y = 0 %3D dr

A:

Q: 4. |f x=47+2j-ky=-3i+5)+4k, and ----]+2k, determine 2x+4y-

A: Step 1: Step 2: Step 3: Step 4:

Q: finD 1) 2) g(s (x) a) p(x) x?-2x+2 b.) g4)==3x t. %3D cl.) s(x) = x-1 4) Cx))

A: Given that px=x2−2x+2, qx=3x+1, rx=x and sx=x−1. 1 We have to find the prx. prx=pxUse…

Q: Evaluate faJ4(a)da Hint: You may use - (a-PJ, (x)) = -a"Jp+1(x), da O -x- J3 (x) + 2x 2 J2 (a) + c O…

A:

Q: Compute f. F · dr, where F(x, y) = (8 + 21x², 4xy) and C is a line segment from (0,0) to (1,2). (Use…

A: Given F(x,y)=8+21x2,4xy2        (1) Line segment from (0,0) to (1,2) is y-0=2-01-0(x-0)⇒y=2x…

Q: 1. (2u). (2v) = 2 (u.v) 2. (7x+3y). (6x + 4y) = Note: u. (vw) = u(v + (−1)w) =u.v+u.(-1)w =u.v +…

A:

Q: Consider the following statements, where the domain of each variable is R: (1) Vxy ((x+y=2) ^ (2x -…

A: True or false

Q: Let a bc A= d ef g hi Assuming that det(A) = – 7, find a) Det(2A) b) Det(A´') c) Det(3A') d)…

A: Given that: A=abcdefghiand det(A)=-7

Q: Q.2 If f(x) = 2*, Then show that a) f(x+3) – f(x – 1) =f(x) S(x+3) S(x-1) = f(4) b) %3D

A:

Q: giver yn f(५) ५) -2x + 3, + 2, find of ax

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Q: P(x) = 1. Let x! and let H=10, Find P(9)

A: To find: P(9)

Q: Evaluate y ds, C: x = t², y = t, - 1<t < 9 |3D (325)-(5)를 1 12

A:

Q: Prove the validity of the following arguments Vx, A(x) → B(x) Ex, A(x) ^ C(x) Vx, C(x) →D(x) ..3x,…

A:

Q: 4. State whether the statements are true or false. Explain. (a) There is an even number multiple of…

A:

Q: Suppose that a = xdy is a 1 form and Y(v1, v2, v3) = ((v1 – v3)² (v2 – v3)²) ædy what is "a ?

A: Given α=xdy-----(i)γ(v1,v2,v3)=((v1-v3)2,(v2-v3)2)---(ii) To find γ*α------(iii) from (ii) we…

Q: If f(x) = x + 9 – x and g(u) = u + V9 – u, is it true that f= g? Yes No

A:

Q: O Deltarentiatk with respect () Singe (X+1) (x-)

A:

Q: 2) Let T [ ] = DT [₁2 i] = i) 0 ii) 2T = 1 + (-c-d)x+ (-d)²x² + (a + c)³ x³. Then we have: -7 - =

A:

Q: 2. Let f: RR by f(x) = -2x + 1. Let A = [2,5] B = [-1,3] C = [−2,3] D = [1, 4]. Find each of the…

A: Here are the solutions:  Note:We have provided the best possible solution for you. Kindly, verify…

Q: sv(8vh) (8→i)^(h→j) B. (i→j)→(fvh) .h Proof: Step Statements Reasons sv(gvh) (g i)^(h→j) gvh iv j…

A: We are given the following Logic: f∨(g∨h)             : Premise 1(g→i)∧(h→j)    : Premise…

Q: Q2) If f (x) = x + 5 and g(x) = x² – 3, find the following: %3D 1) f(f(x)) 2) g(f(x)) 3) f(g(x)) 4)…

A: Given that: f(x)=x+5          and    g(x)=x2-3

Q: Is (Vx)(V)x=y → (Vy)y = y an instance of Ax2? V b. Prove the following: (Vx) (Vy)x = y → (Vy)y = y…

A:

Q: 6. Let f(x) = x − 1 and g(x) = (x + 2)², find the following: a) Domain of f(x) b) Range of f(x) c)…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: 3. Let f(x) = { ,x<2 ax + b, x22 Find a and b so that f (2) exists.

A: To find the value of a and b

Q: For u(x) = 4x2 - x + 5 and v(x) = 2x + 4, which of the following is correct? a) (u – v)(2) = 11 b)…

A:

Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

A:

Q: *) Let p(x) = 8x – 7 and q(x) = /x – 7. Find u(x) given that q(x) = p(u(x)). - и(x) —

A: see 2nd step

Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…

Q: Let f(x) = Vx and g(x) = x³ +1. Find 29 a) f(g(2)) b) g(f(4)) c) f(F(16)) d) g(g(0)) e) f(2+ h) f)…

A:

Q: 8. Simplify f(x + h) - f(x), where: a) f(x) = 2x + 3 b) f(x) = 1 c) f(x) = x² %3D 1 2.

A: a) f(x)=2x+3b) f(x)=x2c) f(x)=11

Q: Let A = B = C = {x 1 x is a real number}. Let f: A → B and g: B → C be defined as follows: f(a) 2a…

A:

Q: Salve diff.eon √₁+x² + y² + x²y² + xydy 1 = 0 14x

A: Given differential equation is             1+x2+y2+x2y2 +xydydx=0 ⟹        1+x2+y2+x2y2 =-xydydx⟹…