Engineering Board Exam Reviewer · Laplace Transforms · hard

Find the Laplace transform of f(t)=t 2t.

1. 4 - s2≤ft(s2 + 4 )2
2. s2 - 4≤ft(s2 + 4 )2
3. s2 - 4s2 + 4
4. 2 s≤ft(s2 + 4 )2

Answer

B. s2 - 4≤ft(s2 + 4 )2

Solution

With F(s)=s/s2+4: Lt 2t=-F'(s)=-(s2+4)-2s2/(s2+4)2=s2-4/(s2+4)2.

More Laplace Transforms questions

1. Find the Laplace transform of f(t)=t t.
2. Use the initial value theorem to find f(0+) if F(s)=5s+3/s2+2s+4.
3. Find the Laplace transform of f(t)= 2t.
4. Find the Laplace transform of f(t)=3t2-4 2t+5.
5. Find the Laplace transform of f(t)=e-t 2t.
6. Find the Laplace transform of f(t)=te2t.
7. Find the Laplace transform of f(t)= 3t.
8. Find the Laplace transform of f(t)=e-2t.
9. Find the Laplace transform of f(t)=t3.
10. Find the Laplace transform of f(t)=1.

All Laplace Transforms questions