(t) = 0‚ 2 < t < 4 5‚ t > 4. f. f (t) = sin 2t‚ 0 < t < π 0‚ t > π. 2. Use the Laplace transform table to find F (s) for the given function. a. f (t) = 2 sin t + 3 cos 2t. c. f (t) = 2t2 − 3t + 4. e. f (t) = e−2t sin 5t. g. f (t) = 5e2t + 7e−t . i. f (t) = t2 − t sinh t − 2e−t sin 3t. k. f (t) = te−t cos 2t. b. f (t) = e2t sinh2 t. d. f (t) = (sin t + cos t)2 . f. f (t) = sin t cos t. h. f (t) = (t − 1)2 + t sinh 2t. j. f (t) = t3 e−4t + t sin t. l. f (t) = 2t2 e−t cosh t. 3. Sketch
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What is original holiness‚ original justice‚ and original sin? How are they related? (10 points) Original holiness‚ original justice‚ and original sin are all interconnected. Original holiness was the original state of humans in relation to God before the Fall. As a result of original holiness‚ humans were in a perfect relationship with God‚ with no confused desires or clouded intellect to interfere with their relationship with Him. Original justice was the perfect state of humanity in relation
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Seven Virtues versus Seven Sins Virtues are character strengths consistently applied to moral decision making. They show positive patterns of behavior. However‚ vices are negative patterns of behavior‚ often harmful to one’s self or others. The seven virtues are faith‚ hope‚ charity‚ prudence‚ justice‚ fortitude‚ and temperance. The seven deadly sins are pride‚ envy‚ gluttony‚ lust‚ wrath‚ greed‚ and sloth. Practicing one virtue can protect one from the temptation to perform an act which is sinful
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“I heard a fly buzz—when I died” What would one think of while they die? One of Emily Dickinson’s most famous poems‚ "I heard a Fly buzz" describes the mental distraction caused by irrelevant details at even the most crucial moments--even at the moment of death. The poem then becomes even weirder and more ghoulish by transforming the tiny‚ insignificant‚ normally overlooked fly into the embodiment of death itself. Eventually‚ the fly’s wing cuts the speaker off from the light until she cannot
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Sins and Transgressions to Success and Progress In Ayn Rand’s Anthem‚ the main character is brought up into a society where individualism is never an option. In secret‚ this character broke these laws and constantly made what was called “transgressions” to the book’s authority figures. Near the books closing he states “Why the best in me had been my sins and my transgressions; and why I had never felt guilt in my sins.” Prometheus has came to understand that he was different and that his sins gave
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Goodman Brown‚” Goodman says‚ “But with your leave‚ friend‚ I shall take a cut through the woods until we have left this Christian women behind. Being a stranger to you‚ she might ask whom I was consorting with and whither I was going‚” (530) He believes she is a Christian women‚ when in truth she is up to the worshiping or evil. Hawthorne illustrates how Goodman’s views his family‚ as good people and worshipers of god even though they themselves have committed sin either by lashing at a Quaker women
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What Happened When Trayvon Martin Died? Different sources of media always have different perspectives on the same topic. Despite how much evidence and other known information‚ one source will always have different thoughts than the others. In the case of George Zimmerman and Trayvon Martin‚ two well-known news reports‚ CNN and The New York Times present the same topic in various ways. The news networks both discuss what happened the night Trayvon Martin was killed‚ but the main differences are the
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solve this problem‚ the citizens of Ireland should use human babies for food. Although this proposal is quite unethical‚ the author proves it to be realistic through the use of logical reasoning to support his idea. In the essay “The Not-So-Deadly Sin” by Barbara Kingsolver‚ a different approach is taken to prove the solution proposed is realistic. In the essay‚ Kingsolver illustrates the power of lies and the fact that people expect a lie to be ones’ truth. Since people are so vulnerable to lies
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A shocking story about a young women committing adultery in a such strict community. This event occurred in the seventeenth-century Boston.The young women who committed the sin is Hester Prynne. Hester Prynne had committed this sin with a Puritan minister named Reverend Arthur Dimmesdale. Hester’s real husband in disguise is Roger Chillingworth. Roger Chillingworth had sent Hester to America while he stayed behind in Europe but was supposed to follow Hester. The result of Chillingworth not following
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Sin Can sin really decide a person’s eternal fate? For thousands of years‚ people have accepted that sin is a breach of the religious laws set out in the bible and an offense against God that can result in a permanent place in hell. However‚ there has never been any solid proof of that. Really‚ sin is not only a violation of religious laws‚ but good morals‚ and does not necessarily decide anyone’s eternal fate. In the Catholic religion‚ there are two types of sin: mortal and venial
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