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Answer: In each of 1 through 10, write the Fourier integral representation (14.1) of the

Advanced Engineering Mathematics | 7th Edition | ISBN: 9781111427412 | Authors: Peter V. O'Neill ISBN: 9781111427412 173

Solution for problem 14.4 Chapter 14

Advanced Engineering Mathematics | 7th Edition

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Advanced Engineering Mathematics | 7th Edition | ISBN: 9781111427412 | Authors: Peter V. O'Neill

Advanced Engineering Mathematics | 7th Edition

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Problem 14.4

In each of 1 through 10, write the Fourier integral representation (14.1) of the function and determine what this integral converges to.f (x) = sin(x) for 4 x 0 cos(x) for 0 < x 4 0 for |x| > 4

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1. Tort theories (breach of warranties) a. Negligence – plaintiff has a burden i. There’s not a warranty cause of action, there’s just a blanket disclaimer. So the plaintiff’s attorney sues for negligence. Is the disclaimer of warranty going to be a good defense in tort cause of action No, because disclaimers is a contract defense in a contract cause of action. Breach of warranty is a contract cause of action and this is a tort defense. ii. Negligence – defective product case. 1. Early on, the courts had a requirement of what’s called privity case. A lot times in a defective product case, you have three defective parties, the manufacturer (defendant), the dealer (defendant), and the costumer (plaintiff). The plaintiff in a defective product case can make out a cause of action against the defendant. That the plaintiff has to be in privity with that defendant, now privity is a contact concept, meaning direct contractual relationship. In this case, the plaintiff’s privity would be the dealer. The privity is not required if the plaintiff can meet the tracing burden, the plaintiff does not see negligence in the dealer but see it in the manufacturer. The plaintiff has to prove that the product left the manufacturing in the same conditions in which it was expected to and ultimately did reach the consumer without intervening change in the condition in which it was sold. b. Elements to the Res Ipsa Loquitar – the thing speaks for itself. It’s way for the plaintiff’s attorney to make out a case, even though the plaintiff cannot prove a specific act of negligence. i. Injuring causing of instrumentality ii. Under the exclusive control of the defendant iii. The injury can only be explained by negligence iv. Case: coca cola vs. S cola, S cola bought a coca cola and before opening the bottled, the bottle exploded in his hand causing him severe personal injuries. S cola attorney filed suit against the bottling company with whom S cola was not in privity. Plaintiff’s attorney raised the theory of ‘res ipsa loquitar.” The question was why did the bottle explode They didn’t know, for some reason the pressure inside the bottle was greater than the outside. Secondly, exclusive control of the defendant. If the plaintiff can prove that the product left the manufacturer in the same condition, the plaintiff met the tracing burden. Thirdly, what happened would not have happened after the pursuit of negligence. And so, the negligence started at the bottling company. c. Strict liability – liability in regardless of fault, it a non-fault theory. i. Another tort theory, its distinguishable from negligence because negligence is a fault paradigm. There are two types of paradigm: fault paradigm and reciprocal risk paradigm. ii. Restatement 1. Primary authority – a statute passed by the legislator, which is actable, case law and statutory law. 2. Legal commentary (secondary authority)- law book publishers a. Attorney will go into court and call out secondary authority, but its best if you can try primary authority. For example, what you use the restatement for To read the commentary and find in that commentary primary authority, because that’s what I want to sight in court. Every once in awhile an attorney will sight secondary authority after sighting primary authority and saying for example, Texas jury prudence sums up these cases thusly. 3. Pg. 143 – 145 breakdown of sec 402A of strict liability a. Elements of strict liability – this liability applies even thought the seller (merchant) has exercise all possible care in the preparation of the sale of product. i. The product should be in a defect or strict condition when the defendant sells it, when the product left the defendant possession. ii. The defendant is a merchant dealing in goods with that kind iii. The product must be unreasonably dangerous to the user or consumer because of its defective condition iv. The plaintiff must incur physical harm to self or property by user or by product. v. The defective conditions must be proximate cost of the injury or the damages vi. The goods must not have been substantially changed from the time the product was sold to the time the injury was sustained. 4. Strict liability comes to play when the product was defective, not because the consumer used it wrong. IV. Negotiable Instruments Law (uniform commercial code) a. Assignments (review) 1) Law of assignments is important for contract law and also important because if you don’t understand the law of assignment, you will not understand the law of negotiable instruments. 2) A>Kinstrument>C (C is the holder in due course) 1. Pay in full value a. Has to give B something. 2. C has to take the instruments in good faith a. There are no red flags in which surrounds that instruments. 3. C has to take the instruments without notice that is it over due or dishonored or any defenses of the instrument. 2) Shelter provision. Section 3-203 (b) of UCC. i. The transfer of an instrument invests in the transferee whatever rights the transferor has in that instrument. And these can include in holder in due course. D can be a holder in due course id C has those rights. e. Negotiation and endorsement 1) Bearer paper 2) Order paper 3) Types of endorsement i. Blank ii. Special iii. Restrictive iv. Unqualified v. Qualified

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Chapter 14, Problem 14.4 is Solved
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Textbook: Advanced Engineering Mathematics
Edition: 7
Author: Peter V. O'Neill
ISBN: 9781111427412

The full step-by-step solution to problem: 14.4 from chapter: 14 was answered by , our top Math solution expert on 12/23/17, 04:48PM. Advanced Engineering Mathematics was written by and is associated to the ISBN: 9781111427412. This textbook survival guide was created for the textbook: Advanced Engineering Mathematics, edition: 7. The answer to “In each of 1 through 10, write the Fourier integral representation (14.1) of the function and determine what this integral converges to.f (x) = sin(x) for 4 x 0 cos(x) for 0 < x 4 0 for |x| > 4” is broken down into a number of easy to follow steps, and 40 words. Since the solution to 14.4 from 14 chapter was answered, more than 247 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 23 chapters, and 1643 solutions.

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Answer: In each of 1 through 10, write the Fourier integral representation (14.1) of the