2. ~P → (~Q AP) P F F F F

Q: Find P(A U B), given that P(A) = 0.5. P(B) = 0.4, and A and B are mutually exclusive. 0.8 0.7 0.9…

A: We have given that P(A) = 0.5 P(B) = 0.4 Also, given that A and B are mutually exclusive

Q: Let X={a,b,c} and Y=∅. What is X∪Y?

A:

Q: In PCA, we obtain z E Rk from x E R" as follows: T z = u(1) y(2) u(k) Which of the following is a…

A: Given that,In PCA, we obtain z∈Rk from x∈Rn as follows:z=|u(1)| |u(2)| ...…

Q: 1. * (p^~a) 2. *q>*p 3. qv ("p v q) 4. (pV q)^(~p q) 5. ("p^ q) >~ (p^q)

A:

Q: let f:(a,b)→R be de fined by X€QN(a,b) x€Q' n(a,b) -2 f(x)=' 3

A: This is a problem of Differential Calculus.

Q: Let p, q, and r be true, false and false, respectively. Which of the following is true? a.) p ^ (q…

A:

Q: Determine whether the statement is true or false " If u ∙ v = u ∙ w and u ≠ 0, then v = w", If it is…

A:

Q: 4- Let X be ar.v with p.d.f f(x) = ax? 0) = 7/8. O T

A:

Q: --Let f(x, y, z) = x²y z +2ye²+7, find Se Əx = ? af =? ду =? axdz

A: f(x,y,z) = x2yz +2yez +7 df/dx = 2xyz  df/dy = x2z + 2ez df/dz = x2y +2yez d2f/dxdz = 2xy

Q: v/4 f(u) 10, %3D elsewhere.

A:

Q: Let u (k, –5) and v = (1,–1). If proj,u = ¿v , find k. Answer:

A:

Q: Suppose p is true, q is true, r is false, s is talse. Find the (s V p) ^ (~r V ~s) True False

A:

Q: If p is T and q is F, then p V ~q is OT OF

A: p is T, q is F p∨~q ~q (not q) = T

Q: . Suppose p is false, q is false, s is true. Then (svp is T/F? A True False

A: p is True q is False s is True Now, the statement s∨q is True if at least one of s and q is True.…

Q: (p v q) → r = O (p v r)^(¬q v r) O (-p v r)v(q v r) O (-p v r)v(¬q v r) O (-p v r)^(¬q v r)

A: We will find out the required value.

Q: By natural deduction, show the validity of Vx (P(x) V Q(x)), 3x ¬Q(x), Vx (R(x) → ¬P(x)) E 3a ¬R(x)

A:

Q: 12. Let f(z,y) = < then f(1,2) = (b) 글 (d) 금

A: Given :fx, y=x-yx+y-1

Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

Q: Which of the following are meaningful and which are not? Explain.(a) (u · v) × w(b) (u × v) · w

A: Consider the given: a)   u⋅v×w is not meaningful as u⋅v is scalar and cross product of vector and…

Q: Which of the following are meaningful and which are not? Explain.(a) (u · v) × w

A: We know that if u,v and w are vector quantity then u.v is scaler quantity So, cross product of…

Q: Let f(x) = ax²+bx+c, where statements are true? (A) las 8 (B) |bs 8 (C

A:

Q: Suppose p is false, q is true, s is true. Then (pA-q) v ~s is T/ F? A True False

A: Given: Suppose p is false , q is true , s is true. Then we to check p∧~q∨~s. Since q is true…

Q: If p is F and q is F, then -p A q is

A:

Q: Evaluate r'(t), r"(1), r'(t)·r"(t), and r'(t)×r"(t).

A:

Q: Given: f (x, y, 2) = z0 + 5x*y%z® _ #°yA 2x°y" + 5æ*y®z° – z°y4 ,3,,7.5 .48 3.4 Required: fzay, fzzy

A: Given f(x,y,z) = 2x3y7z5+5x4y8z6-x3y4 . We need to calculate the value of fzxy and fzzy .…

Q: A coin is tossed four times, then find its P.M.F. and C.D.F. respectively

A:

Q: 1 Assume that Pr[A]=0.45 Pr[B]=0.65, and Pr[A∩B]=0.25  A. Pr[B Compliment ∩ A]= B. Pr[A Compliment…

A: Given, Pr[A]=0.45 Pr[B]=0.65 Pr[A∩B]=0.25

Q: 3 For f(x,y) = In x+y°, 4,8)

A:

Q: Given f„(x, y) = cx (x - y), 0 < x < 2, – x <, y <.x, and 0 elsewhere, (a) evaluate c, (b) find…

A:

Q: Prove (A = B) = (A v C) = (B V C)

A:

Q: chere F(r, y, z) =

A: Stokes theorem

Q: If f(u, v) = 3uv³, find the following. i f(3, 1) = i fu(3, 1) = i f,(3, 1) =

A: We have to solve

Q: b(A, B) = tr(AB), where V = M2 (R) and A, B E V. b(p, q) = p(0)q(0) +p'(0)q'(0) + p" (0)ď"(0), where…

A: This is a problem of inner product space.

Q: Exaneple:s Fsid me nature 22,2 f he QF + 37,? :- 2 + 2 1122

A:

Q: Suppose X~ N(u=120, o = 3), determine the value of x such that P(X>x) = 0.05.

A: Given that X follows N(mean = 120, SD = 3), then Z = (X - mean)/SD follows N(0,1)

Q: If f(x, y, z)=√x²y² z², then fxyz (x, y, z) = 2xyz √x² 1² z² Select one: True O False

A: Given: if fx,y,z=x2y2z2 then fxyzx,y,z=2xyzx2y2z2 We have to state if the given statement is true or…

Q: show: o f(2) dz f(2)dz (Z-Zo) (C) (2-20)2 (C)

A:

Q: What is KN + IK? GHI J KLM N -4 -3 -2 -1 0 1 2 3 4 KN + IK =

A: It is given that,     We have to find the value of KN+IK.

Q: When is it true that u+v= v+u?

A: Answer: It is true when is commutative property.

Q: Use resolution to show ∀x∀y[p(x,y) → ¬p(y,x)] models ∀x¬p(x,x)

A: Please look into the next step for detailed answer

Q: 5. Are the following implications correct? (A = B) = (A VC= B v C) (A = B ^ C) = (A = C) (A + B) =…

A: HERE , WE CAN USE TRUTH TABLE TO POROVE THE GIVEN IMPLICATION

Q: 28. f,(2,4) if f(x, y) = x* In y

A:

Q: (c) If f(x) = x + v2 – x and g(u) = u + v2 – u, is it true that f = g? %3D (d) If x² – x f (x) and…

A:

Q: If F =, and S: r=, Osusa/2,0<v<2. Then S[ F•nd4 is equal

A: This is the problem of surface integral use method to solve

Q: ind  ∂2f ∂x2,  ∂2f ∂y2,  ∂2f ∂x∂y, and  ∂2f ∂y∂x. f(x, y) = 1,000 + 6x − 9y

A: Given f(x,y)=1000+6x-9y  ∂f∂x=∂∂x(1000+6x-9y)         =∂∂x(1000)+6∂∂x(1)+∂∂x(-9y)∂f∂x=0+6+0=6…

Q: 2. (p q) (~q → ~p) 3. ((q →~r) A (~p v q)) → (p →r). -> -> ->

A:

Q: generally true? Prove / disprove this.

A: P(x+y|x)=probability of (x+y) given x. P(y|x)=probability of y given x.

Q: Prove ¬¬A := ¬(¬A) = A ¬(A ^ B) = (¬A) V (¬B) ¬(AV B) = (-A) ^ (¬B)

A: As per the policy of bartleby the provisions is to solve only 3 subparts of questions questions

Q: 4- Let X be ar.v with p.d.f f(x) = ax? 0 ) = 7/8.

A: