
7. (6) For each question, use Th. 7.1.1 to compute L{f(t)}. Show your work. Write your...
2. (4) For each question, use Th. 7.1.1 to compute L{s(t)} Show your work. Write your answer in the box (a) f(t)= eos 21 L{S (0} = (b) ( 0-1? + 10 L { (t)} = (c) OF S +4 sinh 3 L{f (t)} = (a) (1) 6 + 7 sin 47 L {f(t)} =
2. (4) For each question, use Th. 7.1.1 to compute (0) Show your work. Write your answer in the box (a) f(t) = cos 21 L{f(t)} = (b) (t) = +10 L {f} (c) / (t) = 5e -3r 44 sinh 34 L{f} (d)/(t) = 6+*+ 7 sin 40 LS (0) =
6. (10) For each question, use Definition 7.1.1 to compute L{f(t)}. Include the restriction on s. Show your work. Write your answer in the box. (a) / (t) - 4 L{f(t)} S> (b) / (0) - 0,0<i<2 t. 2 L{f(t)} = 8>
Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 282 - 4 sin(56) L{f(t)}
0/2 POINTS PREVIOUS ANSWERS ZILLDIFFEQMOD Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a fung f(t) = 4+2 – 3 sin(5t) L{f(t)} = Coco 52 + 10 Show My Work (Required) What steps or reasoning did you use? Your work counts towards yours You can submit show my work an unlimited number of times.
Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 5t? – 2 sin(3t) gif(t)} =
Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (2t - 1)3 %3D L{f(t)} =
Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral 2{f(t)} -6° e-str(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find L{f(t)}. (Write your answer as a function of s.) {f(t)} = (s > 0) f(t) (2, 2) 1
Use Definition 7.1.1,DEFINITION 7.1.1 Laplace TransformLet \(f\) be a function defined for \(t \geq 0\). Then the integral$$ \mathscr{L}\{f(t)\}=\int_{0}^{\infty} e^{-s t} f(t) d t $$is said to be the Laplace transform of \(f\), provided that the integral converges.to find \(\mathscr{L}\{f(t)\}\). (Write your answer as a function of \(s\).)\(f(t)=t \sin (t)\)\(\mathscr{L}\{f(t)\}=\square \quad(s>0)\)
Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral Kf(t)} = [e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find L{f(t)}. (Write your answer as a function of s.) f(t) = {6. Ost<3 PROI} = (s > 0)