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Solved: 9396. Lagrange multipliers Use Lagrange

Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs ISBN: 9780321947345 167

Solution for problem 93 Chapter 12

Calculus: Early Transcendentals | 2nd Edition

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Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321947345 | Authors: William L. Briggs

Calculus: Early Transcendentals | 2nd Edition

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Problem 93

9396. Lagrange multipliers Use Lagrange multipliers to find the maximum and minimum values of f (when they exist) subject to the given constraint. f 1x, y2 = 2x + y + 10 subject to 21x - 122 + 41y - 122 = 1

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International Law o Roots: western influenced, since western countries are the oldest, most stabilized, and most influential.  1st came European domination, through colonization.  2nd came US domination, through power struggle during Cold War, and later became most powerful nation.  Hugo Gratus- father of Int’l Law- huge influence to negotiations and conflict resolutions. He lived during Age of Reason- where scholars began explaining the world w/basic reason. During this age Natural Law also emerged- belief that all people are born with knowledge of right and wrong. o Trends: increased over time- more actors, such as countries, corporations, inter-govn’tal agencies, non-govn’tal agencies; more contact, through interactions, conflicts, partnerships. Also, interdependence increased: need for set rules, coordination of policies (same policies to create efficiency when contacting each other on int’l level). o Issues: early lawcountries freshly out of war- so boundaries were set thencontemporary law- transnational issues based on economies, environment, human rights, etc. todaydifferences between cultures- issue of cultural relativism- trying to understand other cultures can become difficult, even with great effort. Ex: the way Muslim nations treat their women might seem like oppression, instead of personal choice. In this case, Western countries might fight for rights of Muslim women; while Muslim countries might begin feeling as if Western countries are oppressing. o Creating Int’l Law: sovereign states pursue self-interests. Most agreements are based on customs & agreements. Int’l law could be bilateral or multilateral. Could also form IGOs (Int’l Govn’t Organizations), to establish agreements & to hold up agreements/monitor adherence. Ex: Int’l Court of Justice, WTO- World Trade Organization.  Customs- common practices- ex: an unwritten agreement back in the days used to state that countries would control 3 nautical miles of the sea, off their coasts.  Agreement- formal treaties. o Int’l Law Has a Primitive Nature: is based on old customs & agreements, laws come from different entities (no 1 specific one is set in place to manage for every situation- different countries have different agreements with each other over the same issue. Ex: US might have a law limiting amount of product incoming from Russia, while have no law limiting the amount of incoming product form UK.  Issues: no overarching enforcement authority (ex: police); to pass a law a majority agreement is required=cooperation; creating/planning/gaining support/passing a law takes a long time; self-interests might act in opposition to a mutually beneficial change. o Adherence: Is Int’l law really a law – unanswered question, since there’s no enforcement & compliance is voluntary, because sovereign states’ self-interests prevail. Ex: Russia & Crimea  UN declares vote illegal. However, most countries obey these laws most of the time, since their reputations could be on the line due to lack of compliance; there are always long-term benefits, that outweigh short term losses; complying sets precedence for cooperation, creating an effective system. o Article: Creating Int’l Law: Mercury Agreement.  Why is the Minamata Convention (agreement over mercury) important (1) mercury exposure is highly toxic to inhale, ingest, and at skin contact. (2) mercury waste harms the environment by seeping into soil, polluting the water, poisoning animals and plants, and by climbing up the food chain through bodies of animals. 2  Location: Minamata, Japan- one of the world’s worst cases of mercury poisoning/exposure. Here, a local chemical plant caused water pollution. Sickness became known as Minamata disease.  What does Mercury Agreement regulate Supply; trade; use; emission reduction in mining, power plants, metal production.  Why did 140+ states agree- self-interest; uncontroversial objective due to concern of the safety of the people (an easier type of issues to agree over, since it’s a straight forward issue with a straight forward solution). This also doesn’t restrict coal burning, so the agreement is not economically straining and is relatively easy to fix. 3

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Chapter 12, Problem 93 is Solved
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Textbook: Calculus: Early Transcendentals
Edition: 2
Author: William L. Briggs
ISBN: 9780321947345

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Solved: 9396. Lagrange multipliers Use Lagrange