4. Given a, b € Z, such that mdc(a", b") = 1, \n € N₁ n ≥ 2, Verify that a and b are prime numbers between each other.

Q: 14. ) -10 < 4t- 2 s 6

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Q: 2. Sキ 1 dx 5+x2

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Q: If A = (; A-: )-..R. e M2x 2(R), find A" for any positive integer n.

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Q: 3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + nº+ 1, express a, in terms of n.

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Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

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Q: Determine a conclusion. Choose the correct answer below. the null hypothesis. There is difference…

A: That is, there is no evidence to conclude that there is significant difference between the two…

Q: Is it possible to find a number  n  such that is ∫0∞  xn dxconvergent?

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Q: 3. Find mzRQS. R 7x +4 S 3x+ 9

A: The objective is to find m RQS.

Q: Let a > 0 be a real number and I = [" LL* rdzdrd0. Then I = 2па 4па па None of these

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Q: 1 Select one: а. x - 1 1 1 In 2 x2 b. 1 2 In C. 4 In X 2 x2 d. In X 2 + C 2 x2

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Q: z - j

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Q: 2. Find n and a if: Inx² + In2= In ax"+1

A: Given equation is lnx2+ln2=lnaxn+1. We have to find the value of n and a. Used formula: lnmn=nlnm…

Q: 1. Find the general solution for: dy + 4y = 2e + t + 1 dt? Cos 2t Find a solution so that: dy y(0) =…

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Q: Given: F(s) = (2s+3)/(s² -2s +5). Evaluate: f(1) Use 2 decimal places. 5.67

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Q: Suppose that A = {red,white} and B= {white,blue} Then AUB=.?

A: We know that A∪B = x : x∈A or x∈B

Q: a = [, = ; ine 4 Find A· B 1. 3 B

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Q: Let D = {2, 4, 8) "For every z D, 2x¹ €

A: Given that set D = { 2, 4, 8}  And statement is  " For every x in D,   2| x". We need to check that…

Q: Given: f(t) = 3t4 + 6. Evaluate: F(3) Use 2 decimal places. 2.30

A: Here we have to apply laplace transform.

Q: 5) For each + ive integer i, where i is equal to three, then find the union and intersection of…

A: 5 Given that Ai=x∈R|−1i&lt;x&lt;1i=−1i,1i. a We have to find the A1∪A2∪A3 and A1∩A2∩A3. Here,…

Q: A cinema can accomodate 200 customers. Let z denotes the numbers of the customers in cinema. What…

A: Introduction: It is given that the cinema can accommodate 200 customers. The random variable z…

Q: 3. р Л~ q

A: To write the truth table for p∧~q

Q: -5² + 3(¯5)² 50 O -50 O 49 O -49

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Q: Suppose a > 0, (a, 42) = 6 and [a, 42] = 420. Find а.

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Q: 3. Calculate 1 +3+5++ (2n- 1) for n = 1,2,..,6. 4. Calculate 1+ 3+7++ (2"- 1) for n 1,2,..,6.

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