1. Determine the Laplace transform of the function: f(t) = e-t sinh 2t + e¯2t cos t s – 2 2 A. F(s) + (s – 2)² – 1 ' (s – 1)2 + 4 | s + 1 1 B. F(s) = (s + 1)2 – 4 ' (s + 2)2 + 1 s – 1 (s – 2)2 – 1' (s...

Hi! I need answers in these two questions. Would need it at most 30 minutes. Thank you very much!

Extracted text: 1. Determine the Laplace transform of the function: f(t) = e-t sinh 2t + e¯2t cos t s – 2 2 A. F(s) + (s – 2)² – 1 ' (s – 1)2 + 4 | s + 1 1 B. F(s) = (s + 1)2 – 4 ' (s + 2)2 + 1 s – 1 (s – 2)2 – 1' (s – 1)2 + 4 1 C. F(s) = - 2 s + 2 D. F(s) (s + 1)² – 4 ' (s + 2)² + 1 2. Which of the following gives the correct inverse transform of the given F(s)? 8 F (s) s(s² + 4)² 1 1 A. f(t) =--¬ cos 2t – 2 St sin 2t 1 В. f (t) 1 sin 2t 2 1 t cos 2t 2 2 C. f(t) 1 1 +-sin 2t 1 t cos 2t - 1 1 + cos 2t 2'2 1 st sin 2t D. f(t)