Q3) Assume A = [4 6 3 11 7 2 [32] and B = 1 14 5 show that (AB)' = B' A' 31

Q: verify that (AB)C = A(BC)

A: Given matrices:

Q: 6. Evaluate f z z* –8 dz. A) (x² - 8) +C B) a O b O d

A:

Q: If the seeedof an dbjectis given by ve) what is its eoríthen x al a to dime + = 2 it the object was…

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Q: I. Find A + B, where a) A = 1 0 41 b) A = 1-1 2 2 1 L 0-2-3 J -1 0561 L -4 -3 5-2 J [-13 3 5 1 2 2…

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Q: verify that A(B + C) = AB + AC

A: Now,

Q: Suppose Duf(xo, Yo) exists. Show that Duf(xo, yo) = - Duf(xo, yo).

A:

Q: -4 If A = [ 2 ],x = [],B = [°,] then,|A,| = X%3D %3D -3.

A: Solution:- for Ay replace the second column with matrix B

Q: Find + 5x +7) dx 22 .7 + 5x + 7) dx 3 22

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Q: Q3/ for what value of u will Ju 2 0 16 5 = 0 Ans.: u = 2.0

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Q: Simplify (-4r X2r) Oa) 8r13 6. O b) 2r13 O 0 840 O d) 2y0

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Q: 2 let -27 Aslo -3 1470 -4 find AB+BA,AA"AA, (3A=2B)°C A'C..

A: "Since you have posted a question with multiple subparts, we will solve first three subparts for…

Q: 7. f(2) = -3, g(2) = 2, f2) = 4, g(2) = -5 a) If h = 0, use the values above to find h) 9(x)

A: 7. f2=-3, g2=2, f'2=4, g'2=-5

Q: 3. cooficiant af z" in the apransion 3)11

A: From the Binomial Expansion

Q: 6.- Evaluate T(au + bữ), considering the following 1 T(ī) = 2, T(5) = , T(ī) 2, a = -1 and b = 2 3…

A: T(au+bv)=T(au)+T(bv)

Q: \f a,b and C. are 10 Lhen 2०-30)

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Q: f6) = 5-31 5+3x Q11. Let %3D

A: Given: To Find:

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: 23 22-1 dz (1- 22(2 +2i]3

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Q: dx is 2(1 – x²)7 +c is it : V1-x2 a)True b)false

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Q: 3. с) x2 -7xy + 10 x2 +xy -6y2

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Q: (-{) x ( - } ) ? 2.) What is the product of D. T C. * A. 28 B.

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Q: 10) Prove the following statements true or false: i)āx(bx?) = (āxb)xã, ii)(a + b)x(ã − b) = 26 xã

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Q: Let G = (a, b | a² = b² = (ab)?). a. Express b²abab³ in the form b'a'. b. Express b'abab³a in the…

A: Given: The expression is G=a,b|a2=b2=(ab)2. To Express: (a) The expression b2abab3 in the form of…

Q: verify that (A + B) + C = A + (B + C)

A: Now,

Q: 9. Which of the following is one of the possible answers when you integrate the expression 2csc² x?…

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Q: Find the value of ZA (0, 1, 4) - - (-24,-2x, 92) dr I= -8 (-1, 4 ,0) BY O a) I = O b) I=2 O c) I =…

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Q: verify that (A + B)C = AC + BC

A: To verify that (A+B) C = AC + BC.

Q: prove. that s U. W V- W 1. U.r V.r

A: Using the vector triple product, it can be written that: a→×b→×c→=a→·c→b→-b→·c→a→. Using the scalar…

Q: 3. Consider A={m,a,t,h}; C={x:x=3n,1sns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n S6,nEN} What is ANB?

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Q: 2,5 Evaluate O 근43 0,0 2,1 7,4 (Z+ €)dz (2+i) dz 7.4

A: As per the guidelines I am only answering the first 3 questions.  Kindly repost the other questions…

Q: 33. What is the real part of In (2 + j2)? a. 0.785 b. -0.785 c. 1.040 d. -1.040

A: 2+j2=2√2(1/√2 + j/√2) = 2√2(cos(π/4)+jsin(π/4))

Q: ) = Zzz 2(러)(2-3) Find XCK) is X(2)

A:

Q: 16. a) AB Let A = [1 2 3] -1 5 3] and B 01 1 2 -25 0. Find 0 b) A+B

A: A=[1−230−15],B=[01−1120−250]

Q: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

A: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

Q: ABCDIS square A find D-x ->

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