Find the inverse Laplace transforms of 1 F(s): s2 - 8s + 15 1 F(s)= %3D s2 - 8s + 16 1 F(s): %3D s2 – 8s + 17

Q: Obtain the Legendre transformation and its inverse from the following function:…

A: The given function is fx,y=10xy-3x2+6y2. We know that, the Legendre transformation of a function…

Q: Find the inverse Laplace transform of F(s) 4 S-2 + 7s - 18 s² +9

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Q: Find the inverse Laplace Transform of: 11 5s 3 1 F(s) s2 + 3 s2 + 9' 5s – 7 s4

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

Q: f(t) = te3t cosh 4t s²-6s+7 s2-6s-7 А. (s2-6s+25)2 С. C. (s2-6s-25)2 s2-6s+25 В. (s2-6s-7)2 s2…

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Q: *(:) - E 2x2 Let the transformation T be given by T and v = U2 3 Let u = V2 X (a) Find T (u + v).…

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Q: Find the inverse Laplace transform of: 1 1+2s (a) (b) s+7 - 2 s+4 (c) (d) s' +6s +10 s' + 2s +5

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Q: Determine whether the following transformation is linear. Justify you answer. 2x2 T([^])) = [2²²] -…

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Q: Determine the transformation

A: Transformation is of many types :- Dilation Reflection  Rotation In dilation shape is same but it…

Q: Show that the transformation T defined by T[x1, X2) = (2x, - 3x.2, Xq + 4, 5x,) is not linear. %3D

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Q: 5s+3 6s 8 F(s) - (5s2+4s+1) s2+7 9.

A: The laplace transform formulas for e^(at)cos(bt) and e^(at)sin(bt) will be used in solving this…

Q: s2 +8s 1. Find the inverse transforms of (s-1) (s-3)²

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Q: 7 (a) s+2 e-8s (b) s(s + 2) e-5s (c) s2 + 2s – 5/4 1 (d) s2 + 2s +2

A: a)To find the inverse Laplace transform of 7s+2 L-11s-a=eat L-17s+2=7L-11s-(-2)…

Q: Which of the following transformations are linear? DA. T(A) = A + Is from R³x3 to R³×3 OB. T(A)=9A…

A: Given :  A.TA=A+I3B. TA=9AC. T(A)=A2 To Check : Given transformation is linear Note : As per policy…

Q: Explain the transformation of f(x) = - abs(x-2) - 3

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Q: True / False. The function L: C'(R) - C(R) defined by L (f) = -f' is a linear transformation.

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Q: 3s² +5s+5 F(s) = (s3+8s²+19s+12)(s³)

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Q: If x has a value of -4, determine if the series converges (absolutely or conditionally) or…

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Q: Find the Laplace transform of f(t) = 4 + 3t – 5t2 – 2(t – 1) а. (6s2 -s - 10)/s3 b. ( 6s? + s -…

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Q: Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

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Q: Find the inverse Laplace transforms of the following functions: 1 (a) (s − 3)² (s² − 6s +13) 3s + 2…

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Q: Which of the following transformations are linear? Y1 = -10x1 OA. Y2 = 6x1 Y3 = 3x1 OB. ( OC. Y2 Y3…

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Q: F: M2x2 → R, given by F(A) = det A; G: M2x2 → M2x2: given by G(A) = A'.

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Q: Let T be a linear transformation from P₂ into P₂ such that 7(1) = x, T(x) = 1 + x, and 7(x2) = 1 + x…

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Q: (a) f : R → R, given by f(x) = 5x; (b) g(x)= x²; (c) W : R² → R, given by W(r, y) = xy;

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Q: Obtain the Legendre transformation and its inverse from the following function:…

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Q: Find the inverse transform of the given functions: 35+5s+5 1. F(s) = (s3+852+195+12)(s³)

A: Factor the denominator of 3s2+5s+5(s3+8s2+19s+12)s3. 3s2+5s+5(s3+8s2+19s+12)s3=3s2+5s+5s+1s+3s+4s3…

Q: If T1 = a1(d/dt)² + b1 (d/dt) + cqI %3D and T2 = a2(d/dt)² + b2(d/dt) + c2I are linear…

A: Linear transformations do not satisfy the commutative law . Because a linear transformation T is…

Q: 5s + 1 s2 – 7s + 12 F(s) =

A: To find: Inverse Laplace transform of F(s)=5s+1s2-7s+12.

Q: 7s-2 F(s) = (s+3)(s-4)(5s-1)

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Q: FIND THE INVERSE LAPLACE TRANSFORM

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Q: Find the inverse Laplace transform for (a) F(s) = (s2 – 2s + 5)

A: # We are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: (4) 3 2s-4 1 s2+4s+4 s+2 s2+4s+5 5s-6 s2 –3s

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Q: Find the inverse transforms of the following functions: F(w) = 478(w) — j2/w + 4л8(w - 2)

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