21 41 Verify the following directly if A = 1. B = |; .c = [, а. A(ВC) %3D (АB)C b. А(B+C) %3 AB + AC с. В(A-C) 3D ВА - ВС 2

Q: 5. Find the homogeneous differential equation whose general solution is y = 3 cos x - e³x/2 - 4x sin…

A: Note:-“Since you have posted multiple questions, we will provide the solution only to the first…

Q: Divide. 7y6 – 14y* – 49y³ – 1 7y? 4a3 – a? - (-4a³) a?

A:

Q: 7.Find of z = x3 + 5x2 y + 6 02z дхду

A: find ∂2z∂x∂y of z=x3+5x2y+6 formula: ∂xn∂x=nxn-1

Q: Compute (3, -3,1) • (-1, -3, -4). (3, − 3,1) • ( − 1, − 3, -4)= (Simplify your answer.) - -

A:

Q: Match each expression in Column I with its equivalent in Column II

A: Given, we know that any non zero number with zero exponent is always 1

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A:

Q: Let i = (2, –1, 5) and ū = (5, –7,3). Find 37 – 5ū. %3D - А. (-19, —32, 0) В. (-19, 32, 0) С. (19,…

A:

Q: (1 3 A = 2 1 4 0 3 B = -1 -5 6. Evaluate A+B , 3A– 2B , AB', A'B .

A: If the rows and columns of the matrix A are interchanged, then we obtained the transpose matrix, AT.…

Q: Let A = {0, 1}, B = {a, b, c}, and C = {d, e}. Find i. AxB ii. Ax C ii. (A x B) U (A x C)

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A: Here we have to find the second partial derivative of the given function.

Q: (х + 3)dx бх — х2

A: ∫ (x+3)dx/(6x-x2) ∫ (x+3)dx/x(6-x)  -∫ (3/2(x-6) - 1/2x) dx  -3/2∫ dx/x-6 + 1/2∫dx/x {ln(x) -…

Q: 3VI cos

A:

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

A:

Q: a +b - la – b| 2 a+b+la-이 1. Prove: where max and min denote respectively the greater and the lesser…

A:

Q: 1. + (х+2)(х-2) x-2 2.

A:

Q: If zxy2xsin(y)+x determine the following: હિ Verify that Əz 022 022 022 022 xoy ex axdy dyox

A:

Q: Evaluate (Csch(In 1.5) 10*+1 Usinh(Ino.5) 10x-1 A. 2.9764 В. 3.7265 C. 4.1508 D. 1.8751 Evaluate…

A:

Q: Derive the identity (A-B)U(B- A)U(AOB) and AUB.

A: We have to derive the identity A-B∪B-A∪A∩B=A∪B

Q: 9. y" - у' - 2у 3 -2t + 4t?

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 26. A = 2î + 25 27. B = -2î + 2ĵ 28. Č = 3î + j y 24 24 1. -3 -2 -1 32 -1 -1 -3 -2 -1 3. 2. -1 -1 -2…

A:

Q: Question no 05: 2 -2 16 2 If A=- B 0 25 Evaluate: 1. AxB 2. BxC 3. СхА

A: We are solving the first three subparts and for the next subparts post the question again and…

Q: 4x +9x-5 4. Which expression is equivalent to 2x-1 where x # 5 A. 2r+x+5 . 11 B. 21+ 2 2(2x-1) C.…

A: Topic = Algebra  Correct Option = A

Q: * Q1 X1 +x2] 3 X1 4 X2 If 3 [x3 X4] [x3 + X4 1. x1 = -2, x2 = 2, x3 = -2, x4 = -3. 2. x1 = 2, x2…

A: We will perform the addition and scalar multiplication of matrices on both the sides. Then we will…

Q: Consider --e +y?). 3+3² Evaluate dxdy

A: We have to find partial derivatives for the given function.

Q: 6. b = 1+35 + 35, 5 +3 A, 5+3-1= B a. If (25)* = (125) then determine y: x b. Show that, b³-3b-6b-4=…

A: Note:- For this problem, you don't mention about "b" in part (b), Will i have to use values of b and…

Q: 1-z ze'dxdzdy Jo Jo A. e5 - 1 OB. Ов. 2 Oc. e5- OD. 5 3 2. 3.

A:

Q: Simplify. (3- 2i) (4 - i) O A. 14 - 1li B. 10 - 11i O C. 12 - 3i O D. 12 + 2i

A:

Q: 8. Which of the following has no solution? A. -Vx =5 B. = 5 c. -Vx =-5 D. -3/x =-15 9. What is the…

A: Solution:GivenTo solve the following:Formula:(a-b)2=a2-2ab+b2

Q: əz and əx əz 9. If x²y + y²z + z²x = 10 , where x and y are independent, determine ду -x2-2yz az…

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Q: 12. 을 =D2 ;+1 а. -1 аnd - 8 b. 1 аnd 8 с. -1 аnd 8 d. 1and – 8

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

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: (:) If rank of A is r and if B : , then the rank of B is: C ar O b. 2r Od.0

A: Given, the rank of matrix A is r. Then we have to find the rank of the matrix B=AA.

Q: 7 Differentiate y = 3x 7 3+ X а. - O b. 3 + 7x2 7 Зх + х2 С. d. 7 3 + x2 7 -3+ x2 е.

A:

Q: 2х + Зу? 5х + 4y? Zxуat(-3,2) %3

A: The given function is z=2x+3y25x+4y2 To find zxy firstly differentiate 'z' with respect to 'x' and…