1. Show that ADAC is similar to ABAE (DA) (AE) = (BA) (AC) 2. Show that DA AE

Q: Prove the following fact: A" = 3"-1A. 1 1 1 1 1 1 1 1 1 A =

A: Given, A =111111111  We have to  prove An = 3n-1A

Q: Compute • d da - [In(1+x)²].

A: NOTE: Refresh your page if you can't see any equations. . use the log rule

Q: (7) In general, (SOT)CSnT.But, (SnT) + SnŤ.

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Q: Compute ATBT and BT AT by hand if possible. If not possible, describe why. A = 2 3 −1 0 B = 10 -1 0…

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Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

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Q: d) Prove (AV (Vx) BC = (Vx)B(AV C), as long as x not free in A. (Hint: Translate first to Standard…

A: Given,  Prove (AV (Vx)BC = (Vx)b(A V C), as long as x not free in A. (Hint: Translate first…

Q: Please answer in typing format for like

A: Given : For two events A,B∈Ω,(i) P(B|Ac)= 0.1 (ii)P(Bc|A)= 0.8(iii)P(A)= 0.4Where Ω is the set of…

Q: Find (1+i)5.

A: Need to find .Use Binomial Theorem.

Q: 16) (4xy)*|

A:

Q: (d) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x. (Round b,…

A: e) Consider the following table for necessary calculations. y x x2 12 22 484 22…

Q: Let A = (-0,0), B=(0,0) then AUB=

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Q: Prove c (A + B) = cA + cB   (c + d)A = cA + dA   c(dA) = (cd)A  IA= A

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Q: 8. If x = 1- 1 and y = In 1, what is in terms of 1 ? dx (B) 21 (C) -- (A) (D) 212 (E) 214

A: Given x=t2-1,  y=lntdxdt=2t,  dydt=1t Now,  dydx=dydtdxdt=1t2t=12t2

Q: use fortran H.w 1: Transiate the following expression to Fortran expression: 1- B- Va? + 10 2-…

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Q: 5x dy. 10.) Evaluate

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Q: The standard error equation can be rewritten to v(o In). O True O False

A: In this case, we need to check whether the given statement is true or false.

Q: Evaluate csc°(3x)dx cot*(3x) cot (3x) cot(3x) + C 12 2 cot°(3x)_ 2cot³(3x)_ cot (3x) +C 15 9 O…

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Q: Let 1)" Find sup A and inf A. Provide some explanations how you got their values or why they don't…

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Q: Given Ā =, B =,č = (a) Compute Ā· (B + T) (b) Compute A · (B × C)

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Q: If (A) -71,then (A)] = ...

A: I have appended the formula used in the solution part.

Q: Evaluate: (8t – 121 + 6)dt

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Q: Q1) Find the inverse of A (1 00 A=2 1 0 5 4 1

A: A=100210541

Q: 11. Prove (AUB) × C = (A x C) U (B × C)

A: 11 prove (A U B)*C = (A X C) U (B X C) here this is the property of distributive  so this is direct…

Q: Find the value of a such that (3 + 4i)(1+2i) (1 + 3i) 9 = = = q(1 + i).

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Q: Compute the following values, showing your work: φ(20), φ(25), φ(54) and φ(8!)

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Q: What is the difference between the minor of an element aij and the cofactor of the element?

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Q: (b) у — 2г tan-"(г) — In(1 + x?)

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Q: (a) If j² = -1, simplify

A: (a) if j2=-1, then      (i) j6=

Q: (4) 9Afi - fiAgi (a) Show that A 9i 9i+1

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Q: The following table gives the number I = I(t), in millions, of adult Americans with Internet access…

A: here we can use table to solve this question.

Q: b) Use an algebraic proof to show that (AUB) - (AUC) = (B-C) - A

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Q: Compute a (х + 2) dx. O x3 + x² + C O x² (x² + 2x)+C x2 + 2x ) + C 2 - + C 2 + x2 + C 3

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Q: с) V (и-у) - и х(Vху) - ух(Vxи)- (и-V)у+(ү-V)и %3D

A: