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Q: . If n(A) = 15, n(B2)= 20, and n(A ∩ B) = 10,find n(A ∪ B)

A: Given: nA=15, nB=20, nA∩B=10

Q: Justify the equations in either by deriving them from formulas.

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Q: A = B = 2 (1) Find a matrix C which satisfies 3A + C = B. C = (2) Find a matrix D which satisfies A…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2) tan C B 28 21 35

A: In right angle triangle  tan thetha = perpendicular/Base

Q: 3. Let A = {1, 2, 3}. What is |A|?

A: If A = {x,y,z}  |A| = sqrt x^2 + y^2 + z^2

Q: Please prove statement below by CONTRADICTION

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Q: Show that

A: Our Aim is to Prove that:-111abca2b2c2=a-bb-cc-a   -(i)

Q: 34 ot fle). 1 z(z* 1) (z-2)²

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 27 b) ´ rīdr

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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: If | B| = m then n

A: We know that, If there are n elements in a set A, then there exists 2n subsets of A. The power set…

Q: dy +Ydy=e'

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Q: If a(3, 4) – b(2, 4) = (8, 10), determine a and b.

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Q: Suppose B = (9, 2) and AB = (11, 4). Then A = %3D

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Q: 2) classify ग 822 +y 8x2 02Z ०५२ 2

A: GivenA partial differential equation AimTo classify the given equation1) A linear partial…

Q: 8A. Determine whather the fallwrng series converges com fi fimally w tiverge or Con (-1)" _ . an+7

A: Determine the following series converges absolutely or conditionally or diverge.

Q: Can you find a,b,c, and d (if exists) such that AB = BA.

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Q: . 40 기도) 3 k=3

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Q: Let x) 4 and gx)-x-3. Find the foilowing lock

A: To find the following expressions

Q: 5. Let A 3D, В %3 and C %3 Find a) (A · B)C b) А : (2С) c) ||B||2

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Q: iken that I+2=1 xpressyin terms of xand z.

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: could you explain if option 14 is correct: the one attached

A: As per the question, we are tasked with minimizing the cost of meeting daily workforce demands for…

Q: 3. In how many ways can one enter and then exit a six door room if the entry and the exit door can…

A: It is given that the six door room.

Q: You run a regression analysis on a bivariate set of data (n=20n=20). With ¯x=53.7x¯=53.7 and…

A: The regression equation is y =-0.429x + 61.854, where x is the explanatory variable and y is the…

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: Is X and Y are independent

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Q: %3D If X-N(50,10), P(X < 60) = ? O 1) 0.841 O 2) 0.159 3) 0.341 O 4) 0.659

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Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

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Q: k GsGe) x Since) X>0

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