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Find the Laplace transforms F(s) of the following functions: a. 4t+3 b. 5e²¹ +4e-3t c. 3t² +8 sin 5t

Find the Laplace transforms F(s) of the following functions: a. 4t+3 b. 5e²¹ +4e-3t c. 3t² +8 sin 5t

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 95E
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Question
Q1 find the laplace transform
MATH 10014 ASSIGNMENT 2.pdf (26.5 KB) MATH 10014 ASSIGNMENT 2 1. Find the Laplace transforms F(s) of the following functions: a. 4t+3 b. 5e²t+4e-3t c. 3t² +8 sin 5t 2. Find the inverse Laplace transforms [f(t)] of the following: a. F(s) ==++ S S c. F(s)=- e. F(s) = g. F(s) = 65 7 i. F(s) = 4s-1 s² +5s +6 3s-1 1.4s² -4.48s +2.94 2.3s +8.2 1.3s +14.157 3s +5 2s² +3.6s+15 3s² +5s b. F(s) = d. F(s)=- f. h. j. F(s) Page 20 (s-3) (s+2) 2s +5 s² +1.2s+.2924 3s +8 s² +9 F(s) = 2s+7 s +1.16s+1.042 5s² +4 (s² +17)(s−1) 65+8 F(s)=- of 2
Transcribed Image Text:MATH 10014 ASSIGNMENT 2.pdf (26.5 KB) MATH 10014 ASSIGNMENT 2 1. Find the Laplace transforms F(s) of the following functions: a. 4t+3 b. 5e²t+4e-3t c. 3t² +8 sin 5t 2. Find the inverse Laplace transforms [f(t)] of the following: a. F(s) ==++ S S c. F(s)=- e. F(s) = g. F(s) = 65 7 i. F(s) = 4s-1 s² +5s +6 3s-1 1.4s² -4.48s +2.94 2.3s +8.2 1.3s +14.157 3s +5 2s² +3.6s+15 3s² +5s b. F(s) = d. F(s)=- f. h. j. F(s) Page 20 (s-3) (s+2) 2s +5 s² +1.2s+.2924 3s +8 s² +9 F(s) = 2s+7 s +1.16s+1.042 5s² +4 (s² +17)(s−1) 65+8 F(s)=- of 2
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