Complete the following: pv (q^¬ =pv (r^g) by: = (pv¬r) ^ (pv q) by: =(¬rvp) ^ (pv g) by: = (rp) ^ (pv g)_by:

Q: Compute √27 using once False Position method with x₁ = 1 and x = 2. A 1,69 B 1,84 1,93 1,78

A: We have to compute 275 using the method of False position once where xl=1 and xu=2

Q: In(2x² – 2) = In- 2x2 = 2 In x 2. True False

A: Check whether ln2x2-2=ln2x22=2lnx is true or false as follows. Recall, ln(a)-ln(b)=lnablnxa=alnx

Q: assume that A={6,8,4,g} and B={3,2,8,d,h,g}. (a) n(A×B)= (b) n(B×B×B)=

A: a) Given that A={6,8,4,g} and B={3,2,8,d,h,g}So, A has 4 distinct elements and B has 6 distinct…

Q: If X~N(2,9), compute a. P(X>=2) b. P(1<=X<7) c. P(-2.5<=X<=-1)

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Fird the inversc trons frm of ; F (5) = sz+ 25

A:

Q: 7. Show that

A:

Q: Show that (p+ 9) A-g = -(p V q) Clearly indicate which rule was applied at each step.

A: we have to solve given problem:

Q: verify that A(B + C) = AB + AC

A: Now,

Q: Suppose Duf(xo, Yo) exists. Show that Duf(xo, yo) = - Duf(xo, yo).

A:

Q: test Conti nt for Xel

A:

Q: ,3lnx +2x4 "dx A) 3lnx 2x4 x3 D 3lnx+ 2x4 E None

A: Using substitution method.

Q: Show that PLEU FUG) = P(E) + P(F) + "P(G) - PLENF) - P(ENG) - P(FNG) + P(ENENG)

A: There are three events. These are E, F, G. The objective is to show that,

Q: Given P(A|B) = 3 P(A|B°) , P(A) = 0.02 and P(B) = 0.25 a) Find P(ANB) b) Find P(B|A) c) Are A and B…

A:

Q: 2 fax) = 2 + 3x-xª for f(x+1)

A:

Q: that guen iver ナ Imr that 0rove (Mn+^)I

A:

Q: Simplify (-q^p)v-(qvp) to -q 1. Select a law from the right to apply (-q^p)v-(qvp)

A: We have to simplify the logical expression

Q: Suppose X~N(19, 2.5).  Find P(X = 17)

A: Given X~N(19, 2.5)

Q: Consider x = 3x1 – 2x2, x, = 2x1 – 2x2, with x (0) = 3, x2 (0) = ;. b If x1 ge + e-, find the values…

A:

Q: verify that (A + B) + C = A + (B + C)

A: Now,

Q: Evaluate (p v q v -r) ^ (p v ¬q v ¬s) ^ (p v ¬r v ¬s) ^ (¬p v ¬q v ¬s) ^ (p v q v ¬s). O…

A:

Q: If zxy2xsin(y)+x determine the following: હિ Verify that Əz 022 022 022 022 xoy ex axdy dyox

A:

Q: csc/x+5 xp- 1) Use substitution method to evaluate Vx+5

A: Given:         ∫csc2x+5x+5dx     apply u-substitution     u=x+5→dudx=12x+5       dx=2x+5du…

Q: P → (Q → R) is equivalent to A. (P ^ Q) → R B. (P v Q) → R  C. (P v Q) → ∼R D. None of these

A:

Q: Evaluate [ V21+12x-9x²dx

A: The given integral ∫21+12x-9x2dx can be evaluated as, ∫21+12x-9x2dx=∫21+-9x2-43xdx…

Q: Show validity: Vxр (х, f (x)). Vx3yp(x, y)

A: Please check the answer in next step

Q: verify that (AB)T = BTAT

A: Given matrices: Now,

Q: Use the substitution u = √x+9 to evaluate =(√x +9) * +c ² / (√x +9) ²¹ +C 1 / (√x +9) ²+ + C =(√x+9)…

A: By using substitution u=x+9 to evaluate ∫x+93x dx.

Q: (2VZ cV4z-x2 Evaluate S" dydxdz

A: This question is taken from the calculus in which we have to find the triple integral of the given…

Q: The following proposition is true: "The number of words in this sentence is nine." In logic, the…

A: Given statement: The number of words in this sentence is nine. Concept: In negation, we write the…

Q: Evaluate ſ /9 – 4æ²dx O a. 을sin-1z+ 를v9-4z2 + C O b. None of the following Oc 을cos-1 z+ 를 v9+422 + C…

A: Hence option (b) is correct.

Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c 3 1(1-x*) ? +E E

A:

Q: HO Let A = 1 -21 4 and B = 3 2 3 5-6 -1

A:

Q: f(x) 3* [(x+1) Sind 27x fx-2)

A: Givenf(x) = 3x27xexpress all the terms in 3 ( because 27=33) f(x) = 3x33x = 3x-3x= 3-2x = 132xTo…