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5. What is the Laplace transform of the given function f(t) = cos³ (t)? 3 S - . 4 s² +9 A) F(s) B) F(s) 6. 1 == = = A) F(s) = A) B) B) F(s) = F(s) F(s) S 4 s²+1 3s +1 4(s² + 9) If the Laplace transform of x³/2 is 3√π 5 42 (s + 1) √π 4(s + 1)5/2 7. Find the Laplace transform of f(t) = (1 + sin 2t cos 2t). s² + 2s + 16 s(s² + 16) s² + 2s + 16 (s² + 16) = + 3√√π 4s5/2 C) D) F(s) = F(s) = 3s s² + 1 3 S C) F(s): C) D) 1 S - + - 4 s² + 1 4 s² +9 ,then the Laplace transform of t³/2e-t is: 3√√π = 5 -(s + 1) 4s2 D) F(s) = + F(s) = 4s s² +9 F(s) = 3√π 4(s + 1)5/2 s² + 2s + 4 s(s² + 16) s² + 2s + 16 s(s² + 4)

5. What is the Laplace transform of the given function f(t) = cos³ (t)? 3 S - . 4 s² +9 A) F(s) B) F(s) 6. 1 == = = A) F(s) = A) B) B) F(s) = F(s) F(s) S 4 s²+1 3s +1 4(s² + 9) If the Laplace transform of x³/2 is 3√π 5 42 (s + 1) √π 4(s + 1)5/2 7. Find the Laplace transform of f(t) = (1 + sin 2t cos 2t). s² + 2s + 16 s(s² + 16) s² + 2s + 16 (s² + 16) = + 3√√π 4s5/2 C) D) F(s) = F(s) = 3s s² + 1 3 S C) F(s): C) D) 1 S - + - 4 s² + 1 4 s² +9 ,then the Laplace transform of t³/2e-t is: 3√√π = 5 -(s + 1) 4s2 D) F(s) = + F(s) = 4s s² +9 F(s) = 3√π 4(s + 1)5/2 s² + 2s + 4 s(s² + 16) s² + 2s + 16 s(s² + 4)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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5. What is the Laplace transform of the given function f(t) = A) F(s) B) F(s) = 6. == A) F(s) = B) F(s) = 1 A) F(s) = S 4 s² + 1 3s +1 4(s² + 9) B) F(s) = + 3 If the Laplace transform of x³/2 is 3√π 5 42 (s + 1) √π 4(s + 1)5/2 7. Find the Laplace transform of f(t) = (1 + sin 2t cos 2t). s² + 2s + 16 S - . 4 s² +9 3√π 4s5/2 s(s² + 16) s² + 2s + 16 (s² + 16) C) D) F(s) F(s) = C) 3s s² + 1 3 S cos³ (t)? F(s) = - 4 s² + 1 D) F(s) = C) F (s) + ,then the Laplace transform of t³/2e-t is: 3√√π 5 4s2 = 4s s² +9 D) F(s) = + 1 S - 4 s² +9 -(s + 1) 3√π 4(s + 1)5/2 s² + 2s + 4 s(s² + 16) s² + 2s + 16 s(s² + 4)
Transcribed Image Text:5. What is the Laplace transform of the given function f(t) = A) F(s) B) F(s) = 6. == A) F(s) = B) F(s) = 1 A) F(s) = S 4 s² + 1 3s +1 4(s² + 9) B) F(s) = + 3 If the Laplace transform of x³/2 is 3√π 5 42 (s + 1) √π 4(s + 1)5/2 7. Find the Laplace transform of f(t) = (1 + sin 2t cos 2t). s² + 2s + 16 S - . 4 s² +9 3√π 4s5/2 s(s² + 16) s² + 2s + 16 (s² + 16) C) D) F(s) F(s) = C) 3s s² + 1 3 S cos³ (t)? F(s) = - 4 s² + 1 D) F(s) = C) F (s) + ,then the Laplace transform of t³/2e-t is: 3√√π 5 4s2 = 4s s² +9 D) F(s) = + 1 S - 4 s² +9 -(s + 1) 3√π 4(s + 1)5/2 s² + 2s + 4 s(s² + 16) s² + 2s + 16 s(s² + 4)
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