If A subut of B. where B 18 a closo d subset of IR show that

Q: De Morgan's law

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Q: If geR[a,b] and if hGx) = gCa) except for a finite num ber of points in [a, b], then prove that…

A: Here we apply riemann integration formulas.

Q: Show that if a and b are positive integers, then there are divisors c of a and d of b with (c, d) =…

A: image is attached

Q: 4.In AABC, BX bisects ZABC. a. If AB= 10, BC = 8 and AC = 12, find AX and XC. b. If AX= 5, XC = 7,…

A: We will solve the given questions of the given triangle ABC  in the following step.

Q: If ∠A≡∠C in ABCD, then ABCD is cyclic.

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Q: Let Hand K be subgraups of a and Ikl-55 fing IHO K! grop C. If IHI =2

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Q: Let a, b, c e Z. show that ca & cb if and only if c (a, b).

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Q: Show that if a\b and gcd(b, c) = 1 Then gcd(a,c) = 1 %3D

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Q: Show that for n, m e Z+, gcd(2" – 1,2 – 1) = 28cd(n,m) – 1.

A: To prove : gcd(2n-1, 2m-1)=2gcd(n,m)-1where n,m ∈ℤ+

Q: Consider the Venn diagram below. Illustrate the other De Morgan's law by selecting the region(s)…

A: GivenAc ∪ Bc

Q: Let C: z-3 and I – 6dz. ONone of these

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Q: explain these results in APA 7e give as many detail as posible Boxplot-Incongruent Condition 35- 15…

A: From the given output of Boxplot We interpret the outcome.

Q: Show that if A ⊂ B, then C – B ⊂ C – A.

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Q: Suppose is dhe iavene faction of a diffarentiable šunc- tica fand let Glu) -1/r . E3) - 2 and /3) -…

A: G(x)=1f-1(x)f(3)=2 , f'(3)=1/9

Q: Prove that if ACC and A CBC C, then either A CB or BCC

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Q: I of the equat: nethod will b

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Q: Prove that if r <s < n, then P(n , s) is divisible by P(n,r).

A: Given: r≤s≤n Therefore, n-r≥n-s So we can write n-r! = n-rn-r-1n-r-2...n-sn-s-1n-s-2...1 n-r! =…

Q: If C1, C2 are connected subsets of R, then the product C, xC, is a connected subset of R?,

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Q: Stefan was able to map AABD onto AABC. D A

A: Given, ∆ABD  and ∆ABC     We have to find whether we can map  ∆ABD  onto ∆ABC

Q: Prove that if A – B – D and B – C – D, then A -C– D.

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Q: Jin Let G beagreupsuch that I6tefs thens

A: Answer

Q: Find the SVD of 3 A = 2 3 -2 [Hint: Work with AT]

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Q: Find the sum of the GS that satisfies the given Condihon n- 4 az=30 a3S

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Q: If m, n, p, q are integers, n > 0, q > 0, and r = m/n = p/q, prove that

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Q: Assume that AA and BB are disjoint subsets of UU, and that n(U)=55n(U)=55, n(A)=23n(A)=23, and…

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Q: .Compute b, and bo (to 1 decimal).

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: Suppose that A= {a,b,c,d} Then |A| =.?

A: Let X be a set , then X be number of elements in set X

Q: Show that if A is nonsingular and AB = O for an n × nmatrix B , then B = O .

A: We have given  matrix A is non singular and AB=0 for an n×n matrix  B. We have to prove that B=O

Q: Prove that if A CC,BCC, and (C \ A) C B , then C = AU B.

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Q: let A, B and C three are OVerlapping Sds anly using Venn that (B-u(e A) diagrom Show A-B

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Q: Derive k, kkg and ky fourth order Runge Kutta methed-

A: Range Kutta

Q: Suppose a tair Coin is flipped twice, het A, = "Head on 1st Toss" A= "Hend on 2 Toss" Ag=" %3D 1)…

A: Suppose a fair coin is flipped twice, let A1=”Head on 1st toss”, A2=”Head on 2nd toss” and A3=…

Q: If ADEF ARST, then we can conclude that ZR

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

Q: For each subfield S of Q[i, z], determine Auts(Q[i, z]).

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Q: Let a, b, c E Z. show that ca & cb if and only if c (a, b).

A: Division properties are used to prove it

Q: Show that if a \ b and gcd(b, c) =1 Then gcd(a,c) = 1

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Q: Prove that if ACC, BCC, and (C A) CB, then C= AUB.

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Q: Let S be a 50-element subset of {1, 2, 3,...,87} and let T = {s+11 :sE S}. Prove that SnT+ Ø.

A: This is a question of Set theory, application of the Pigeon Hole Principle.

Q: If a,,a,, a3,., a, are in HP, Prove that a,a, +a,a; +...+ a,.1 a, = (n - 1)a,a,.

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Q: Let A = and U = Then A2017U is equal to ... B

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Q: 33, A Sphene has the iengen of t

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Q: A= Find a portia lar soltPon of the syatem with

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Q: Given: STaVU T. Prove: 4SVTZUTV

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Q: If i and i are in R™, then –i is in span {ū, 3}. |

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Q: Let S= {1, 2, 3, Question 5. 4} and G = S,. Write all of the elements of GT and G(T) in each case.…

A: Given, S={1, 2, 3, 4} and G=S4 We have to write all the elements of GT and G(T) in each case. (a) T…

Q: Let a,b,c be intergers with gcd(a,b)=1 and c|(a+b) (c divides a+b). Prove that gcd(a,c)=1 and…

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Q: Let A = {a,b, c} and B = {b, c, a}. Prove that A = B. Thus, the order %3| in which the elements are…

A: The given sets are A={a,b,c} and B={b,c,a}we have to show that A=BResult : two sets A and B are…

Q: Suppose that a,beG such that a = m and b =n with Gcd (m,n) = 1. Then n | is in mn

A: Suppose that a, b∈G such that a=mb=n and Gcdm, n=1 i.e., m and n are relatively prime. We will find…

Q: Use Venn diagrams to verify that if A is contained inB, then A ∩ B = A and A ∩ B = ∅.

A: Venn Diagram: Euler Venn Diagram or commonly known as Venn Diagram, is a diagrammatic representation…

Q: (c) If gcd(a , 133) = gcd(b , 133) = 1, show that 133|al8 b18 %3D %3D

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