Pls answer no.3 asap. Thank you. Note: Provide a correct, detailed, and complete solution. Write legibly and box your final answer. Thank you. Find the Laplace transform of:1. f(t)= (3t-4)² - 2t³ cos(4t) + 4e³t sinh(8t)2. 3y""+y"-38y' +24y = 3t - 2, y (0) = 0, y'(0) = 0, y" (0) = 0-4t+83. g(t) = e ³sin(3t-6) - 3t³] u₂(t)0 ≤t<43t - 6t³,4. h(t): =t≥4-t²10t + 31,

Answered: 3. g(t) = [e-4t+8 sin(3t — 6) – 3t³]…

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3. g(t) = [e-4t+8 sin(3t — 6) – 3t³] u₂(t) - -

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.3: Implicit Differentiation

Problem 11E

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Question

Pls answer no.3 asap. Thank you. Note: Provide a correct, detailed, and complete solution. Write legibly and box your final answer. Thank you.

Find the Laplace transform of:
1. f(t)= (3t-4)² - 2t³ cos(4t) + 4e³t sinh(8t)
2. 3y""+y"-38y' +24y = 3t - 2, y (0) = 0, y'(0) = 0, y" (0) = 0
-4t+8
3. g(t) = e ³sin(3t-6) - 3t³] u₂(t)
0 ≤t<4
3t - 6t³,
4. h(t): =
t≥4
-
t²
10t + 31,

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