-2] . Find det(A). -1 1 Let A= 3 2 -1

Q: 1. Which of the following are PDES? Identify all. df = 3x dr df = 3y dr se = 3r af = 3y af = 3r dy

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: If t=3-4n, find t ,, and t t, t3 Express t, -t n+1 n+1

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Q: Find the general solution of the following ODE's: y' + 3x²y = x²

A: The given differential equation is y'+3x2y=x2 It is of the form of linear differential equation…

Q: Question 3 Let P = 2ax + 5ay - 3az, Q = 3ax - 4ay, and R = ax + ay + az. Determine P + 2Q (А) 8аx-…

A: Given problem:- Let P = 2ax + 5ay - 3az, Q = 3ax - 4ay, and R = ax + ay + az. Determine P + 2Q

Q: 22 - 4. Which of the following is equal to (2) given that g(x) = x² + a - 6 and h(x) : |3D x +1 ()…

A: Given h(x) and g(x). We have to find (h/g)(x). The solution is given below.

Q: 1. If x=27-3k and y = i +5j -4k, express each of the following in terms of i, j, k b) 2(3x+y)-3(4y…

A: Given x→=2i→-3k→ & y→=i→+5j→-4k→To write expression in terms of i→,j→,k→:

Q: x2+1 =0 Has soluion in R

A: Solution:

Q: [1 2 [1 2 [1 2 01 Q13: If A = 1 1 0 1 4 ol 3 B = 1 1 -1 l2 2 2 and C = 1 1 -1 Show li 1 1 that AB =…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: - the following sys 2z = 1 Bz = 3 az = b

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Q: Find the general solution of the given ODE du dr x+2y-3 2x+y-3

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Q: What is the image of ALMJ by Ro90? Ro,90? a. AJKL b. AKLM c. ALMJ d. ДМJK

A: Here we have to find the image of the ∆LMJ by Ro,90

Q: GIVEN: xihl i+ 2) 드 hai (-1)" (n + 2) 2"+1(n + 1) 4. Compute the exact value of n=0

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Q: Answer the following question accordingly: a) Let A=|2 3 -1 3 a and B-l= where %3D 2 5 a ato and a $…

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Q: -1 0 -6 9- Let D = 4 Find -2D = 2.

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Q: f A is a 2 x 2 with det(A) = 5, then det(4A-1) = %3D 80 -) 20 16 5

A: We have to choose the correct answer from the options according to the given condition

Q: -6 -3 0 3. [15p] А: and B Show that det A+det B ± det(A+B). 0 -12 1 9

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Q: .3 If U = 2 – x, | x/2- xdx= = n} .3 -J uvūdu В (2 – u)/ūdu | .3 © (2- u)/ūdu 1 (D uvūdu A)

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Q: 2+13 H.W. Evaluate zdz along the following paths- 1+12 (a) horizontally from 1 + 12 to 2 + 12 then…

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Q: an = aq"; bn = (-3)", dla n ≥ 2 oraz bo = b₁ = 0; 2n Cn = dla n ≥ 2 oraz co = 1, c₁ = 2. n!'

A: As per the question we are given three sequences : an , bn , cn  And we have to find their…

Q: 1 (x² + xy - y²)dx + (x² - 2xy) dy = 0

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Q: What is the general solution of the following ODE* 3 points (x² + xy – y*)dx + (;x² – 2xy) dy = 0

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Q: -AC || CD . AE || CB C. none of these D. AD || CB set Selection Co search

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Q: -4 -2 Let E= 0 Find 2E. -3 5

A: Given,  E=-4-204-35

Q: and on setting E = 1+ A, P) = 1/24*(1 +6A+8A²)-'(5 – k + k²) = 1/24* (1 – 6A + 28A² + ...)(5 – k +…

A: Consider the equation               f(E)yk=(E-2)(E-3)yk=(5-k+k2)4k  The homogeneous solution is…

Q: x²y' + 3y = x²

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Q: 1 Q4) If vZA =, such that AA" = I. Find x?

A: Transpose of matrix

Q: -10 If AXT = B, then X= Let A = %3D 0 2

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Q: If e'z = /3 -i.Then Im (z) is %3D O a. e2 b. 0 С. 1 d. -In(2)

A: eiz=3-i Now let z=x+iy. Then, ⇒eix+iy=3-i⇒eix+i2y=3-i⇒eix-y=3-i…

Q: у" — бу" + 11у' — бу — 4sin7х + 5 - %3D -

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Q: In r dr

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Q: 7. If DE = 11x + 15 and FG = 32x- 27, find DE. %3D D E

A: We are authorized to solve only 1 question, please repost remaining questions Circle property

Q: 5. (BH) Calculate det B, where 0. 4 1 1 В — 1 -2 4 -1 2 1 -1 0 7

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Q: If A is a 2 x 2 with det(A) = 3, then det(4A1) = %3D

A: det(A-1)=1det(A) det(4A-1)=4ndet(A-1) where n is the order of the matrix.

Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

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Q: Z1 is complementary to 2; 2 is complementary Given: 2 B 3 A E to 23 Prove: BD || AE

A: Prove that BD∥AE.

Q: 7 8. -1] -1|,Y = |0 2 4 [1 2 -5. Find det(XY X-1). Lo 0 -1] TT If X = |5.5 4 3 -V2

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Q: 1. Lat A - [; : - and B = 2 2 1 3 4 (a) Compute AB. (b) Compute BA.

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Q: 3 (5) Suppose that T : R³ → R² „such that 2 1 1 T (e,) = T(e.) T(e,) = and T (e,) = 1 1 3 2 T Find -…

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Q: (9) Let X z b(n,) and E(3x) = E(3– 5x) find n.

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Q: Question 18 Consider Evaluate O (9x4+6x)e (x3+y2) O (3x²+6x)e «³+y?) O (6x²+ 3x)e «³+y?) O (6r*+9x)e…

A: Topic = Derivative

Q: x, and x, in terms of t.) 2 1 -1 1 1 -1 1 2 1 2 2

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Q: (a) Compute /(2) dr, given that f(b) 3 and that | af'(a) dr b(1 + f(-b)). (b) Computei (2) dz. given…

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Q: If det A= 0 why is det A+ = O? If A has rank r, why does A+ have rank r?

A: Given Data det A=0   Suppose the column and row of the matrix are linearly independent. The matrix…

Q: -k= Xn–1 and Xn+1 = Xn-ơ• It follows from Eq.(1) that P=(A+B+C) Q+DP – (e d) (16) b Q= (A+B+C) P+ DQ…

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Q: Question 39 2r dr Using an appropriate substitution, evaluate: / V2x (A B 42 4

A: Option C

Q: Which of the following is correct? 1 1+32-1 3. A. X(z) of 3mu(m) = B. X(z) of 3mu(m) = C. X(z) of…

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Q: D B. E C Given: AB XEB = CB × DB Prove: AABC- ADBE

A: To Determine: prove △ABC~△DBE Given: we have a figure in which we have triangles △ABC and △DBE also…