Prave that for all sets A and B, (ANB) = A UBC %3D

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Q: ) Eliminate the arbitrary umstants of y= C, + C2 e ** + C3 e 3x

A: The given equation is y=c1+c2e2x+c3e-3x. We have to eliminate arbitrary constants c1, c2, c3. Since…

Q: state explicity which ordered pairs are in A x B and which are in R?

A: The ordered pairs (x,y) such that x∈A, y∈B are in AxB. i.e.  AxB={(x,y) | x∈A, y∈B}

Q: Q3- Give an example of two denes not equal X subsets of (R,7) and (z,7cof). ( Explain your answer ).…

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Q: these are not grraded its the teams system that says the point cuz of the hw you can serach it up

A: objective is to choose the correct option.

Q: Prove V²f(r) = d²f dr² + 2 df r dr

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Q: Use the sets A = {1,2,4}, B = {2,5,7} and C = {1,3,7} to investigate whether Ax (B n C) = (A × B) n…

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Q: For the set D={}, determine n(D). n(D) = %3D

A: D= { } = empty set  n(D)= cardinality of set D

Q: What is the x-Coordinate of the termir O a. -V3/2 O b. V3/2 O c. -V2/2

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Q: Q3- Give an example of two denes not equal X subsets of (R,tco) and (z,rof ). ( Explain your answer…

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Q: d if -1<r e if r<1 ist the open sets in the quotient topolo

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Q: Express the set using the roster method. {x | xEN and 4<xs7} Choose the correct answer below. O A.…

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Q: Let FECT-2,21], foro. Prave that Max -2

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Q: Write out the following sets by listing their elements between braces. 9. {X :X < {3,2,a} and |X|=…

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

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Q: Fined exy if w:f),4メーク(V=ズ」 し EXpress the anscwer in terms of U, V, fy fv soly wメyニ

A: The given question is solved in step 2.

Q: Find the measure of UT. U 11 T V 16

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Q: Select all that apply: Which of the following are equivalent to the statement "Nobody defeated…

A: Using the given symbol to select correct option equivalent to the statement ''Nobody defeated…

Q: The phfhenn f()--e-7 has verter at and opens OA- deed O (-2 ped Oadwed

A: Given data: The given expression for the function is f(x)=-x2-4x-7. The given expression can be…

Q: Let X=(1,0, – 1, - /2)'. Then, ||X||, =| Select one: а. -1- V3 b. -V3 O C. 2 +/2 d. -V2

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Q: D A B 12° 18° 22° 28° Subm here to search Cip

A: Sum of angles on a linear line is 180°. In this, Angle A = 68°. We have to find angle D.

Q: A saleswoman buys the five products say, bag, sunglass, watch, mal upplier. Let y = 78, xɔ = 25, x3…

A: A sales women buys the five products say  bag , sunglass, watch , makeup set and fountain pen from…

Q: Which of the following sets contains only whole numbers? {-2, V10, 9} J2 16 15 8 {0, 9, 103} D { -…

A: We know that whole numbers include Natural numbers and 0We know that Natural numbers are the…

Q: Find the degree of Q(V2, V5) over Q.

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Q: Evaluate |/I. ze*+ydV where B is the box determined by B 0 <x < 4, 0 < Y < 3, and 0 < z < 3. The…

A: We have to evaluate the integral

Q: Write a paragraph proof to show that ZABF is complementary to ZEBD. F D. A B

A: Fiɡure in which ∠ABF= x°, ∠FBE = x°, ∠EBD=y°, ∠DBC=y° To write a paragraph proof to show that ∠ABF…

Q: Q7. V(x, y) = x³ + y³ and x = 2t +r,y = 2t – r , what av? is ? ar

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Q: Express the set using the roster method. (x| xEN and x> 9) Choose the correct answer below. O A.…

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Q: use determîne the ratio test to if it conver g en ce is dikergence to 3.

A: We have to find

Q: For Exercise, consider sets A and B and determine if the statement is true or false. A = {x|4 > x},…

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Q: ven the following sets, find the set (A U B) N (A U C). U={1, 2, 3, ..., 10} A= {1, 2, 3, 10} B={1,…

A: In this question, the concept of set operation is applied. Set Operation The concept of set…

Q: Find the generd fhw q Me 4 Uu Pollowdg netwals 13 C.

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Q: Theovem closeed ball in a Mefric. Every Space closeel

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Q: (a) Show that (A B)? + |A X B2 = (AB)? %3D

A: Question a) (A.B) = AB*Cos(x°) (A*B) = AB*Sin(x°) where, x is the angle between vector A and vector…

Q: umbers that has and his 34) а, hen e2n/(n+2) %3D ness line

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Q: Let X-(1,0,- 1,-/2)'. Then, ||X||∞ =V7 %3D Select one: O True False

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Q: (d) Verify that for v= (a, b) E R², P[v]s' = [v]s and Q[v]s = [v]s•.

A: d) First find the matrix P that is the change of basis from S to S'. 1,3=31,2-12,31,4=51,2-22,3…

Q: F 61 °D 61 ° C H.

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Q: (a) What is the support of Y? (b) Find P(Y = 2).

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Q: Let x~ N( M, -) Ti- 5, Ź (xi-x)* 2 %3D %3D n -1 Ź(xi- 7)" 2 2. T2 = 2. 2. 2. Check the Consist of 6,…

A: We know that, Y=∑xi-x¯2σ2~χn-12 Then  EY=n-1⇒E∑xi-x¯2σ2=n-1⇒E∑xi-x¯2=n-1σ2---&gt;1…

Q: Let A=[t, t?,0]and B=[1 , t² , 0] and C=[2,t³ , 1] find (ABC)`

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Q: Use the theorems and given information to show that r | 8. %23 1 2 3 4 87 6/5

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Q: Shuw that A s open and closed m (K,r) iPf Bd(A) = . %3D

A: Part (4) We have to prove that A is open and closed in X,ζ iff Bd(A)=∅. It is given that X,ζ is a…

Q: Suppose FW = Ax+B, with F6)-r and F() - 8, pind F) interms of A,B,r,s

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Q: For Exercise, consider sets A and B and determine if the statement is true or false. A={x|4&gt;x},…

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Q: Find (u + v) ∙ (2u − v) when u ∙ u = 4, u ∙ v = −5, and v ∙ v = 10.

A: u·u=4,  u·v=-5  &amp;  v·v=10

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.