let a, b, and m be three positive numbers. if either a divides m or b divides m, then d=GCD (a,b) divides m

Q: Q: Prove that Lim 1-1

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Q: uV cand Showw that: ne Be %3D Be av

A: Given Applying partial derivative on g with respect to x: Applying partial derivative on g with…

Q: Let A = {c, d, f, g} B = {f, j} C= { d, g} True or False: C C A? True False

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Q: 2. Which of the following operations is associative on Z? A. a*b = a b C. a*b = a B. a*b = max (a,…

A: Note: As per Bartleby guidelines if a question have more than 3 subparts and specific part is not…

Q: . Let a, b € Z so that 4a + 5b is a multiple of 13. Prove that 13 divides 9a + 8b.

A: We have to show that 13 divides 9a+8b To prove this we using 4a+5b divisible by 13

Q: = [a b] and B =[2³]. a. Compute AB. b. If AB = 1-5₂ 1. Let A = find the entries of A, i.e. find the…

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Q: Given A = -1 0 22]₁ compute 3A

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Q: Use property of betweenness. Given A*B*C and A*C*D, prove A*B*D.

A: Given: and ,Aim: To prove .

Q: Compute (8). O 6720 O 336 O 42 O 56

A: We have to find out the combination of 8 to 5 or 8C5.   The combination formula: C(n, r) =…

Q: 1.) Perform the indicated operations   A.)     i 2 + i 3 + 4    B.)      i 1997 + i 1998  + i 1999…

A: Note "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Let a, b e R. Prove that if 15a + 206 = 49, then a and b are not both integers.

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Q: find A2, A3, and A4. Given A = (Hint: Recall that i = V-1-) Discuss the similarities between An and…

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Q: Prove or disprove: if a, b, c e N, then a2 - 6 + 4c + 2.

A: a2-b2≠4c+2 we have to prove this relation in three cases like a<b,a>b and a=b

Q: Given A and B = [6 –7 -1 8], find AB and BA . | -2 АВ BA : ||

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Q: et a, b, c be positive real numbers. a² 6² c² a c

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Q: 3. Which of the following statements are true? There may be more than one correct answer. A. Ø CA B.…

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Q: If A and B are independent, prove that B and the complement of A are independent.

A: Given,A and B are independent events , so P(A∩B)=P(A)×P(B) .

Q: AV B ¬A→ (CAD) AV¬B ¬AV ¬(С V D) Find the value of all variables that are solvable

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Q: 18. Show that P→ qand-q→→p are logically equivalent.

A: We have to show that  and  are logically equivalent.

Q: If a1, az, az,.-ans. be the A.P. and S, = a-1m+1+a-1m+2+a-1n+3 +.--+ am %3D Prove that :…

A: In this question we have to proof S1, S2, S3,.... are in Arithmetic Progression.

Q: Challenge. Establish the Cauchy-Schwartz inequality: For real numbers we have (a + az + ..+ a) (b+…

A: Prove the Cauchy-Schwartz inequality…

Q: Let A- and 8 I Find AB

A: Explanation of the answer is as follows

Q: Find AB and BA, if possible. (If an answer does not exist, ent 1 5 AB = BA = A X || 4 10 9 423 2 3 1…

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Q: Perform the operation, if possible. Let et A = [ - 1 5 1] and B= OA. O C. [ 6 - 10 9 5 - 35 - 3 -6…

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Q: 29. How many possible sets of four marbles are there?

A: There are 3 red, 2 green, 1 lavender, 2 yellow and 2 orange marbles. 4 marbles are to be chosen.

Q: 1. The greatest common divisor c, of a and b, denoted as c = gcd(a, b), is the largest number that…

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Q: ssnip

A: Given: B=abcd A=1234 AB=BA AB=1234abcd     =1×a+c×21×b+2×d3×a+4×c3×b+4×d     =a+2cb+2d3a+4c3b+4d

Q: Write the set containing two females in terms of A and B.   e. List the elements in !A, AB, AuB…

A: According to the given information, S=JD, JM, JS, JN, DM, DS, DN , MS, MN, SN A=JM, JS, JN, DM, DS,…

Q: Decide whether R \ Q is countable or uncountable, and prove your answer. You can use what you know…

A: To prove that R \ Q is countable or uncountable.

Q: If |A|  8 and |B|  5, what is |A ∪ B| + |A ∩ B| ?

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Q: Determine the non-permissible value(s) for 3x+2x² x² - 6x

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Q: Let |4|= 3m and B|= 4 , then |4 B| is m=3.6 إجابتك

A: Given that |A|=3m and |B|=4 find A-1B also m=3.6