PRACTICE EXERCISES FOR CHAPTERS 6 1. Use the method of integration by parts to find the Laplace transform of the function f(t) = sin(at), where a is a nonzero real number. 2. Find the inverse Laplace transform of the function
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- Apply the theorem of differentiation of transforms to find the Laplace transform of the given function. f(t) = 9t sin 3t Click the icon to view the table of Laplace transforms. L{9t sin 3t} = S> C. (Type an expression using s as the variable.)Use the laplace transform of derivative to solve for the laplace transform of the following.Apply the theorem of integration of transforms to find the Laplace transform of f(t). 7 sin 7t t f(t) = L Click the icon to view the table of Laplace transforms. 7 sin 7t t (Type an exact answer, using as needed. Type an expression using s as the variable.)
- Find the inverse Laplace transform of the functionApply the theorem of integration of transforms to find the Laplace transform of f(t). 5 sin 8t t f(t) = Click the icon to view the table of Laplace transforms. 5 sin 8t t (Type an exact answer, using as needed. Type an expression using s as the variable.)Use the laplace transform of derivative to solve for the laplace transform of the following.