Let U- lo, 1,2, 3,4,5,6,7,8,a}.let two fuzzy subsets A and B •f 0 be given by 2 3 4 6 7 8 9 0:2 0:3 0·8 0.9 I land 2. 3 4 6 7 8 9 0.9 0:8 0.7 0.5 O4 02 0.2 o

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9}. Find A′.

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Q: Find projvu.u = (−1, 3, 1), v = (4, 0, 5)

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Q: let u=(1,2,3), v=(3,2,1) and w=(4,5,6) u.(2v)= Select one: 1/20 20 -20 -1/20

A: The given vectors are: u=(1, 2, 3)v=(3, 2, 1)w=(4, 5, 6)

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and T= {1,3, 7}. Find T'. O T = {2, 4, 5, 6, 8,9, 10} OT =…

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Q: Let u = (3, 5, -7) and v = (6, -5, 1). Evaluate u + v and 3u - v.

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Q: Find the set (AUB)'. U= {1, 2, 3, 4, 5, 6, 7} A= {2, 3, 5, 6} B = {3, 4, 5}

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Q: Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8} and E = (0, 2, 4, 6, 8} and P = {2, 3, 5, 7}, then ?∩?=

A: Given  U = { 0,1,2,3,4,5,6,7,8} E = { 0,2,4,6,8} P = { 2,3,5,7} So U ∩ E = { 0,2,4,6,8} U  ∩ P = {…

Q: the book is "First Course on Fuzzy Theory and Applications"

A: The formula to compute the membership fuctions is as follows.

Q: 5. Among a set of 6 red ball and 5 green balls, how many selections of 4 balls can be made such that…

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Q: Find projvu.u = (0, −1, 2), v = (3, 2, 4)

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Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that they are all…

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Q: Let A, = {..., – 2, – 1,0,1,..., i}. Find ỦA, i31

A: First we find A1, A2, A3,...An, then find union as in next step.

Q: Determine the number of ways in which the four corners of a squarecan be colored with two colors.…

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Q: 17. Show that Z () = zlog

A: Z-tramsform

Q: Let: U = (a, b, c, d, e, f, g, h, i} A = {a, c, d, f, g, h} B = {b, c, d, e, i} Find (A U B). O (a,…

A: Given that,U=a, b, c, d, e, f, g, h, iA=a, c, d, f, g, hB=b, c, d, e, iThe set A∪B' is determined as…

Q: Standard license plates for passenger vehicles in California are of the form NMLMXXX where N is any…

A: GivenThe form of Standard License plates = NMLMXXXN = digit except 0X = any digitL = Upper case…

Q: Let u = (-7, 1, 5) and 7 = (5, 3, 4). —

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Q: Let U = {1,2,3,4,5,6,7,8,9,10} and A = {1,3,5,7,9). Find A". ....

A: Given, U=1,2,3,4,5,6,7,8,9,10   AndA=1,3,5,7,9

Q: Suppose you have 6 black and 9 white t-shirts and you dont want to put black ones on top of another…

A: The number of white t-shirts=9 The number of black t-shirts=6

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

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Q: Find a set of smallest possible size that has both {3,4,7,8} and {1,5,6,9,10} as subsets.

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Q: 4. Prove that, VR, -11-

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Q: 2. Let A = {0, 1, а, b, 8, 10, с, — 4}, В %3 {3, 1, 9, e, а, с, 0}, and C 3D {2, с, 10, 9, 8, —4,…

A: solution of the given problem is below...

Q: Find projvu.u = (2, 3), v = (0, 4)

A: Given: Let the vector u and vector v be: Formula used:

Q: Suppose the universe U={1,2,3,4,5,6,7,8,9} and you have two subsets A={1,2,3,4} and B={2,4,6,8}Which…

A: Given the universe U={1,2,3,4,5,6,7,8,9} and the two subsets A={1,2,3,4} and B={2,4,6,8}

Q: Let Az = { k, k + 1, ..., k²}, for k 1,2,3, .. Find U은1Ak-nE1 Ax

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Q: Is A a subset of B if A = {2, 3, 5, 7, 8, 9, 10} andB = {3, 5, 8, 9}?

A: The given sets are, A=2,3,5,7,8,9,10B=3,5,8,9 A set A can be said to be the subset of another set B…

Q: Find projvu.u = (2, 5), v = (0, 5)

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Q: Let U= {0,1,2,3,4,5,6,7,8} and E= {0,2,4,6,8} and P={2,3,5,7}, then the compliment of P= A.…

A: We have to find complement

Q: Assume that there are 2 pairs of black socks (çorap),3 pair of pink socks, and 5 pairs of blue socks…

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Q: Suppose there are balls of 6 different colors, i.e., Red, Blue, Green, Yellow, Black, and Brown, in…

A: given total number of color of balls =6 also, there are exactly 25 indistinguishable balls of each…

Q: Let Ai = {…,−2,−1, 0, 1,…, i}. Find

A: Here, Ai = {…,−2,−1, 0, 1,…, i}={ xϵ Z| x≤i }

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

A: Here we are given :     A= {1, 2, 3, 4}; B = {00, 01, 10, 11} and C = {x, y, z}Also, g is a function…

Q: Each of the 20 students learn exactly two of the three languages: English, French and German. 80% of…

A: Total number of students= 20 Number of students learn English= 80% of 20 = (80÷100)*20= 16 Number of…

Q: Let u = {1, 0, 2}, v = {0, 1, 3} and w {1, 0, 1}, then

A: Let u={1,0,2},v={0,1,3} and w={1,0,1} .

Q: Assume that there are 2 pairs of black socks (çorap),3 pair of pink socks, and 5 pairs of blue socks…

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Q: Assume that a fair die is relled. The samnple space is1, 2, 3, 4, 5, 6| and all the outcomes are…

A: If a fair die is rolled, then we get sample space as  S={1,2,3,4,5,6} Let E denote the outcome of 6…

Q: A box contains 4 black, 2 red and 3 white marbles. In which of the following ways is it correct to…

A: Given: A box contains 4 black, 2 red, and 3 white marbles, and 4 balls are selected from this box. 4…

Q: Sort the cards into categories of special right triagnles. Not a special right triangle 4/3 5V2 2/5…

A: *concept:- trigonometric ration.

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is ed and 1…

A: Answer - A box contains 8 red and 6 green balls.                 How many ways can 3 balls be drawn…

Q: let u = (1, 2, 3), v = (2, 2, -1) and w = (4, 0, -4) : then u - v and v u equal v = (0,1, 4) V - u =…

A: u = ( 1, 2, 3 ) v = ( 2, 2, -1 ) w = ( 4, 0, -4 )

Q: Let U={1,2,3,...,10}, A={1,3,5,7}, B={1,2,3,4}, and C={3,4,6,7,9}.Select B∪C' from the choices…

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Q: Let U={1,2.3,4.5.6.7,8,9,10} be the universal set and A={1,2,3,4,5,6}, B={1,3,5,8,10} Then P(A-B) O…

A: Given, U=1,2,3,4,5,6,7,8,9,10 be the universal set. Also A=1,2,3,4,5,6 and  B=1,3,5,8,10. Now we…

Q: Find projvu.u = (2, 4), v = (1, −5)

A: The projection of u onto v is denoted as projvu. The following formula is used to find projvu.…

Q: Assume that A ={ 1, 2, 4, 6 } and B = { 2, 3, 6, 9 }. Find A - B. * O A -B = { 3, 9} O A -B = { 1,…

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Q: 30. (i) Verify that Hall's marriage condition is satisfied for the family {A₁, A₂, A3, A4, A5, A6}…

A: Hall's marriage condition is defined as  let S be the family of finite subsets of X, where the…

Q: If A {100, 200, 300, 400, 500, 600} and B {200, 400, 600, 800}, find: AUB O {100, 200, 300, 400,…

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Q: Find the set A UØ. U= {1, 2, 3, 4, 5, 6} A=(3, 4, 5, 6}

A: Given, U=1, 2, 3, 4, 5, 6, A=3, 4, 5, 6

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.  Also let A = {1, 3, 5, 7, 9} and B = {2, 4, 5, 6, 7}.…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.