8 F (s) = s2 – 16

Q: Find the Inverse Laplace Transform of the following functions: 16 a. L s(s2–14) 483 b. Li{-32)

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Q: Determine the Inverse Laplace Transform as a function of t. Write your solutions and answer on the…

A: We have to find :L-14s2+6s+18

Q: A shopper buys cat food in bags of 3 lbs. Her cat eats 3434 lb each week. How many weeks does one…

A: Given that A shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 lb each week

Q: 4 (iv) F(s) = s2 +9 2s + 16 (v) F(s) : s2 + 4s + 20 3s – 15 (vi) F(s) %3D 2s2 – 4s + 10

A: The Laplace transform of a function is an integral that converts the real variable into complex…

Q: Find the inverse Laplace transform of the function 8-2 F (S) (S²+1) (S-1) es

A: As per our company guidelines we will solve the first part of the question, To get the solution to…

Q: Find the inverse Laplace transform of the following function. s² + s +1 S3 +8²-2 G(s) Your answer…

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Q: G(s) = 7 s³(s+4)²

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Q: Use the transforms in the table below to find the inverse Laplace transform of the following…

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Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 3s…

A: To apply the translation theorem, we need to rewrite the given function in the standard form of the…

Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 9s +…

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Q: (vii) f(t) = 4sin3t (viii) f(t) = 3cos2t

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Q: Determine the inverse Laplace transform of the function below. 3. s2 + 64

A: Given expression 3s2+64. We have to find the inverse Laplace of given expression. Formula will use…

Q: 3) f(t) = 7t2 - te-4t Ans. 14 (s + 4)²

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Q: 5- 25 + 4 (s + 1)(s + 2)°

A: This is a problem of Laplace Transform.

Q: Find the inverse Laplac Transform of the following functions: 2s-3 Find L-1 s²–3s+2. Find L-1 |…

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Q: Evaluate the Inverse Laplace transformation of the following functions s²-6 C-1 (-3 $154+35) {3

A: Sol

Q: 2-1 7 s² +49 2

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Q: 3s+5 F(s) s2-6s+25

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Q: Use the table of Laplace transforms to find the Laplace transforms of the following functions. cos²…

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Q: s2 + 6s + 8 G(s) = s4 + 8s2 + 16° xnlanation calculation IS we

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Q: s4 – 12s + 36 f(t) = sinh 3t + cosh 3t – 2t3 Ans. s4(s - 3)

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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: Evaluate the Inverse Laplace transformation of the following functions

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Q: f(t) = t'g(t)

A: Sol:-We can use the formula: L-1F(s)=-1tddsL-1F(s) where F(s) = L(f(t)) and L-1 denotes the inverse…

Q: 2. Find the inverse transforms of the following functions: a. F(s) = S b. F(S) = 52+7 s²+7 c. F(s) =…

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Q: 6s + 3 s4 s² + 4 +5. 2

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