1. [-/2 Points] DETAILS ZILLDIFFEQMODAP10 7.1.001. MY NOTES ASK Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let ifbe a function defined for & 2 0. Then the integral 6. [-/2 Points] DETAILS ZILLDIFFEQMODAP10 7.1.023. is said to be the Laplace form of f, provided that the integral converges. MY NOTES Find (10). ASK YOUR TEACHER PRACTICE ANOTHER Oster Use Theorem 7.1.1 to find (it)). ((t) = 12 + 31 - 6 (s > 0) 2. [-/2 Points] DETAILS ZILLDIFFEQMODAP10 7.1.003. MY NOTES ASK Use Definition 7.1.1. 7. [-/2 Points] DETAILS ZILLDIFFEQMODAP10 7.1.027. DEFINITION 7.1.1 Laplace Transform Let / be a function defined for $ 2 0. Then the integral MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER is said to be the Laplace transform of f, provided that the integral converges. Use Theorem 7.1.1 to find 2(1(t)) Find 2(it)). f(t) = 1 + elt (s > 0) 8. [-/2 Points] DETAILS ZILLDIFFEQMODAP10 7.1.031. 3. [-/2 Points] DETAILS ZILLDIFFEQMODAP10 7.1.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use Theorem 7.1.1 to find {(Att)). Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform ((t) = 312 - 2 sin St Let / be a function defined for t 2 0. Then the integral is said to be the Laplace transform to find _(it)) cost. Osten 9. [-/2 Points] DETAILS ZILLDIFFEQMODAP10 7.1.037. (s > 0) MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find _(/(t)) by first using a trigonometric identity. (Write your answer as a function of s.) ((t) - sin 6t cos 6t . [-/2 Points] DETAILS ZILLDIFFEQMODAP10 7.1.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use Theorem 7.1.1 to find (it)) 10. [-/2 Points] DETAILS ZILLDIFFEQMODAP10 7.1.039. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find (/(t)) by first using a trigonometric identity. (Write your answer as a function of s.) 5. [-/2 Points] DETAILS ZILLDIFFEQMODAP10 7.1.021. ((t) = sin(6t + 4) MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER se Theorem 7.1.1 to find (itt). (E - 5t - 4

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