Question

MATH 2303 Workshop 7 1, NAME (please print legibly): Your SMU ID Number: SHOW ALL YOUR WORK TO RECEIVE FULL CREDIT. 1. (2 points) Using the definition, find the Laplace Transform of the function: ſex, 0<t<3 f(t) 3<t 2. (8 points) Find the Laplace transform of each of the following functions. 1. 2 f(t) = + + cos 3 + 3e-2 2. 2 (t) = (1 - eM)? (Hint: expand...) 3. 29(t) = tsin? t (Hint: use half angle formula first...) 4. 2 (1) = cos(36) - te

Answer 1

DATE ANSWER a The laplece transform of f(t), defined for all real numbers to us the number function F (s) which is FCS) = { f(t)esteht of 0 ezt okt <3 #(t) of 1 t> 3 (+) ze zt and f(t) for ostes = +>3. FG) -f +Ct) est dit Forte "fiets at

DATE F (s) = (2-8ht 3 -st + C2-S e C-s 3 362-5) FCs) 35 - es e . + 1 2-S 2-5 S F (s) = ***-1) + 31 35 tě S