Use the Laplace transform for linear systems (Lesson 11) to solve the following system of equations [x' (t) + y(t) = S(t-1), x(t) + y(t) = 0, x(0) = y(0) = -1.

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Q: #3) For any x € R", show that ||x|| = inf{r: xerB}, where B:= {|ly|| ||y|| ≤ 1}.

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Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

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