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

Q: • Ann computes z(-1)+1 +C = undefined 'dz = (-1) +1 +C= +C= • Bob computes zl-1)+1 1 %3D (-1) +1 •…

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Q: Evaluate L{te- cos 4t} g + 2s + 15 b) (s2 + 2s + 17)2 5' + 28 - 15 b) (s + 2s + 17) s - 2s - 15 c)…

A: Note : According to the company guidelines we can solve only first question please post other…

Q: -1 g(t)dt = 17 and g(t)dt = -2, find g(t)dt . %3D -3 о -15 O 11 -19 O -13 O -11 О 15 O 13 O 19

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Q: Find L[e2t tsin(2t) + et+1 + et cos 2t] A)+ 28-4 s+2 (4-1)2 +4)a (+2)a +4 +2 B) 4-4 1-2 1-2 (-1)2…

A: Use the formulas below to calculate the Laplace transform.

Q: 2. 9y" – 12y' + 4y = e-3x

A: According to our policy at Bartleby, I can solve only 1st question. Given a non-homogenous second…

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

Q: a. I = f [cos nt. 8(t-2) + 38(t+1) + sinnt. 8(2t - 1)]. dt = 4.5 -0 b. I = f e-t6(2t - 2). dt = //…

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

Q: valuate the following: a. L {e3t + cos6t - e3t cos6t} b. L-1 {6s/(s2 + 25) + 3/(s2 + 25)} c. L-1…

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Q: for n E No. Since f is "1-1", from (2.49) S (Xn+1) = af (yn-1)+bf (xp-2), f(yn+1) = af (xp-1)+bf…

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Q: z3+4z+9 Residue of f (z) at z = -1 is %3D (2z+2)(z-3)³ a. -1 64 O b. 1 64 O c. -1 32 O d. -1 16

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Q: 6. f(t) = , e* sin 2r dr C.. -s(s-1) (s-1)+4 -2 A. s(s+1)+4) В. s((s-1)+4) (s-1)2+4 D. B.

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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

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Q: ker(A) = R104 %3D O ker(A) = {0} %3D ker(A) cannot be determined from this information

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Q: А. -2 B. -1 C. 0 D. 1 3-x and starting with - .By performing one interaction using the procedure…

A: Since you have asked multiple questions in a single request we would answering only the first…

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Q: (a) if f (t) = tet cos 5t then L{f(t)} =?. 4s2 + 19s + 52 (b) if F (s) then L-1{F (s)} =? s (s2 + 4s…

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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!'

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Q: 2.. This question should be done by hand. Let 3 0. A = b = 0 -1 Use the spectral method to obtain…

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Q: f(y) = 3ey/2 in powers of (y – 2) Corresponds to Select the correct response: 53(-2)² 2n n! 3 + n=1…

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

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Q: 5. By making a suitable substitution, find the general solution y= y(r) of the ODE dy = (y – 4r –…

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Q: [2 1] Q2) Assume A = |1 3 L3 4] - anda-: [2 4 1 B = show that (AB)' = B' A' 13 6 4

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Q: f(t) = e3t + cos(6t) – e3t cos(6t) As4 + Bs3 + Cs² + Ds + E F(s) Fs5 + Gs4 + Hs3 + Is² + Js + K

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Q: If f(2) = (x² + ay² – 2ry) + i(bx² – y² + 2xy) is analytic, then val | elect one: O a. 1, 0 O b.…

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Q: -Z/3 (A) g(x) =-2cos(3x) (B) g(x)=-2sin(3x) (C) g(x) = -2cos (D) g(x) = -2sin (E) g(x) = 2 sin(3x)

A: As per given by the graph, there is given a graph of g(x). Now, The given graph is lies on the y…

Q: 1 Q1) L-1 s(s²-1) 02) The general colution of 11 a) co

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Q: 4.1.5. Let f(x,y) = (x² – y², 2xy). Show that Df(a,b) (h, k) = (2ah– 2bk, 2bh+ 2ak) for all (a, b) e…

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Q: 1. Consider the following ODE over the interval (0,+∞): xy" – y' + 4x°y = 0 (a) Show that y =…

A: Note: According to our guidelines We’ll answer the first question since the exact one wasn’t…

Q: (3) = 2 u + U, =D2 at ucx, t) fipdy ing the following initial condition : - -3X U(x,0) = 6e

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Q: Starting with x0 - 1.5, yo 1.2, the values x3 and y3 obtained using the pair formulae /+-y.. Y... -x…

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Q: -6 4. h(x) = [+ 2e" cos(x) %3D 5. t(0) = e30 + sec(40 + 5) %3D 4 6. q(r) = V13r2+21

A: Answer three que 4,5,6 as our company guideline please repost other question as next question.

Q: '0 (Fhop (4) (d) det(4) is non-real. (e) det (A)

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Q: f(x) = x² - 2x and g(x) = In (x-1). Find x if (fog)(x) = 0 If f(x) = x) = √x, g(x) = x + 5 and…

A: As Per Bartleby Answering Guidelines We Solve only First One Problem Solution - 4 : Given that the…

Q: 14. Which of the following does not require the use of the chain rule to find y y = cos ¹(10x5 - x²)…

A: Given problem:- Which of the following does not require the use of chain rule to find dy/dx? (A)…

Q: x =-3 is a R.S.P for (x +3)'y" - 2xy' + (1 – x²)y = 0 | | Select one: O True O False

A: Statement:  x=-3  is a Regular Singular Point (RSP) for (x+3)2y''-2xy'+(1-x2)y=0

Q: -2) Calculate A-1 by 2 Let A = 1 2 1 -1 -1 A-' = ÷(-A² + 3A +I). and verify your result by showing…

A: Given: A=12-2121-1-10 Therefore,…

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: Q2: Find the even part xe(t) and the odd part x.(t) of the signal x(t) = (1+t³) cos 10t

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Q: 4- Find e' in the form x+iy if z equals a) 2+ 1/2n i b) 0.5 -1.2i

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Q: Write a in the form of a = a„T+a„N at t = 0 without finding T and N first if r(1)=(2+3¢+ 3¢°)i+(4+…

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Q: 3. Consider the linear ODE: -2 -1 1 + %3D 1 find the general solution

A: given linear ODE dx1dtdx2dt=-2-101x1x2+11 claim- find the general solution

Q: 3. Given 1 1 -j -1 j A = 2 1 -1 -1 -1 -j] where j= -I. (a) Calculate |||1, || 4||2, and ||||p. (b)…

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Q: Each of the ODEs shown below is second order in y, with y₁ as a solution. Reduce the ODE from being…

A: We are given second order differential equation using the method of reduction of order we need to…

Q: Q3/ For the signals in the figure find the convolution using direct formula * 3.0 2.5 2.0 4. 1.5 1.0…

A: The table is given below: k 0 1 2 3 4 x(k) 1 0 2 3 3 h(k) 4 2 5 6 3

Q: Q2. Let a b c A = |d g h Assuming that det(A) = -7, find (a) det(3A) (b) det(A) (c) det(2A) a d (d)…

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