(Solved): Problem 1a (10 points) Given the bilateral Laplace transform : \( F_{b}(s)=\frac{10}{s+14}+\frac{5} ...
Problem 1a (10 points) Given the bilateral Laplace transform : \( F_{b}(s)=\frac{10}{s+14}+\frac{5}{s+5} \) a (5 points) Sketch the ROC and write the ROC as an inequality so that: the system is causal. Does the Fourier Transform exist explain why or why not? Do not solve for \( \mathrm{f}(\mathrm{t}) \). b (5 points) Sketch the ROC and write the ROC as an inequality so that: the system is anticausal. Does the Fourier Transform exist? ? Do not solve for \( \mathrm{f}(\mathrm{t}) \).