Find the Value of ? P(a, b): a^ bv ( !a ^!b) ^ b == b Va (Vb P(a, b) ) == ? 3a (3b P(a, b) ) == ? a = {P v !P, P^ !P, T, F} b = {R^ !R, !T, F, !(R v !R) }

Q: O O O OC Find (all) the value(s) of c such that 5c2n 20 3 n=0 (A) c= 2 (B) c = 7 (C) c= -2,2 (D) c =…

A: An infinite series has the form ∑n=0∞ anxn=a0+a1x+a2x2+a3x3+…… where ai's are constants. We have to…

Q: Can you please answer this question and show all of the steps and say the correct letter

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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: What is the area of the kite? (2, 2) (-4, –2)(6, - 2) (2, - 6)

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Q: -2 caslx) +|

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Q: Let A=(1,2,3,4), B=(00,01,10,11), C=(x.y.z). f, = {(1,00).(2,01).(3,01).(3,10) (4,11)} f2 = ((1,x),…

A: f3 is a function from A to B . f1 is a function from A to B. domain of both f3 and f1 Is A and Range…

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: Find the mid point for A( 1 , 2 ) B( 7, 8 )

A: Mid-point for the given points is- a=x1+x22,b=y1+y22 where a & b are the mid-points, and,…

Q: let à = (3,4,5) and To (5,2, 6) a Find (2-6) x (a+b)

A: We need to find out the cross product.

Q: 2. Prove that if a, b e R, then (a) -(a + b) = (-a) +(-b), (c) 1/(-a) = –(1/a), (b) (-a)·(-b) = a ·…

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Q: (12) 1. A (BC) . 2. (13) 1. ~ (CA)/:. ~B (A-B) v (C-D) 2. ~Al.. C (14) 1. Dv~ A 2. 3. ~(A.~B) ~ C…

A: Solution:

Q: ifferentiate. 12) y = (x2 - 2x + 8) ex A) (x² + 4x + 6) ex C) (x²+6) ex 1 [ 2 ² + x + 1] x B) ex 3…

A: Given query is to find the derivative.

Q: Evaluate W(1 + x, x, x^2

A:

Q: Suppose ū = (-1,3,0) and v = (5, –2,5). Which of the following is 3v - u ? Select one: (-8,1,-5)…

A: given  u = (-1,3,0) v= (5,-2,5)

Q: If f(x) = .Determine the value of E) (d) 8 (e) None (a)

A: Use the formula for  summation of infinity geometric series.

Q: Suppose that we knew that the following two lines were true: (p^q) {p-p} (pvq) (p^q) {q-p} (pVg) ←…

A: Given:Objective: Determine the valid conclusions that can be drawn from the given information.

Q: Provide an interpretation which is true and one that is false. (∃ x)(P(x,b))

A:

Q: Find |AT|, |A²|, |AAŢ|, |2A\, and |A¯¹]. 4 03 A 2-1 5 1 46 (a) IATI (b) |A²| (c) JAATI

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Q: If X ~ U(3,7), then P(X = 4) ≠ P(X = 7) true or false

A: X~U3,7

Q: Is {(3, 4)}Linear combination of {(1, 2), (2, 4)} show all the work and state why or why not.

A:

Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: FInd the following. (0, 1), v = (5, –2) u = (a) |삐 (b) ||v|| (c) |u + v|| (d) (e) u + v (f)

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Q: Let u= and v= identify 3u+v???

A: We have to identify 3u+v for the given vectors: u=2, -3 and v=4, -1. Finding 3u: 32, -3=6, -3

Q: If (A, B) -> C, then can we also say that A->C? If A-> (B, C), then can we also say that A ->B?

A: If A, B→C, then can we also say that A→C? Solution: Consider A, B→C. Suppose this to be as When A…

Q: To show B(m,n)=+x²² -dx (1+x)"¹"

A:

Q: - What are the values of u, and o,? (2 points) Op -

A: Our aim is to find the following :  a) The sampling distribution of the sample proportion b)

Q: verify that (AB)T = BTAT

A: Given matrices: Now,

Q: Suppose that f(2, 3,1) = 5, fz(2,3,1) = 2, fy(2,3,1) = 3 and f.(2, 3,1) = -1. %3D Then f(1.9, 3.3,…

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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: If a is transcedental over Q then a^2 is also transcedental over Q

A:

Q: Find Ax Bx C where A = {1,5}, B={13,17} , C={0}. O (1,13, 0), (1, 17, 0), (5, 13, 0), (17, 5, 0) O…

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Q: 3) 4x + y = 7 A) (4, 5) C) (3,-5) B) (-4,-5) D) (5, 4)

A:

Q: Let u = and v = Find each quantity: a) (u)(v)  b) (u)(u)  c) (v)(v)

A: Given: u =<4,-3> and v =<-2,7>

Q: Show that (z3 z4) -1 = (z3-1. z4-1)

A: We prove the given statement by taking Z3=x3+iy3, and Z4=x4+iy4. After using the fact of…

Q: actortise the expression: a^(2)+by^(2)+bxy +axy

A: Given expression: ax² + by² + bxy + axy

Q: Does S={(-3,0,4),(5,-1,2),(1,1,3)} span R3?

A:

Q: Det A= -3 and B= 2 determine the following a) det (AB) b) det (3B) c) det [(AB)^T] d) det (B^-1) e)…

A: We assume A and B are matrices of order n.  Now, Det(A) = -3           Det(B) = 2. (a) Det(AB) =…