MAP 2302 Midterm: MAP 2302 FIU de Test 3
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Use correct notation when presenting your computations and. Show me the all magic on the page. ________________________________________________________________: (10 pts. ) definition of the laplace transform of f, {f(t)}, in terms of a definite integral? (a) suppose that f(t) is defined for t > 0. {f(t)}(s) (b) using only the definition, not the table, compute the laplace transform of f(t) ________________________________________________________________: (15 pts. ) defined for t 0, what is the definition of the convolution of f with g, (f*g)(t)? (a) if f(t) and g(t) are piecewise continuous functions ( f g )(t) (b) Using only the definition of the convolution as a definite integral, not some fancy transform shenanigans, compute (f*g)(t) when f(t) = e2t and g(t) = e3t. ( f g )(t) Using the laplace transform table, compute the laplace transform of (c) f*g when f(t) = t sin(t) and g(t) = t2e-t. [do not attempt to simplify the algebra after computing the transform. ]
