the river to the tanks. To minimize the cost of the pipeline‚ how far from the refinery should P be located? (Round your answer to two decimal places.) 1 year ago Report Abuse Colorado... Best Answer - Chosen by Voters This is a min-max calculus problem‚ where we want to minimize the cost function: We need a drawing of the situation: see https://docs.google.com/drawings/d/1PvkU… where R is the refinery‚ O will be the x-axis origin‚ P is the point on the north bank‚ and x= distance
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AP® Calculus BC 2012 Free-Response Questions About the College Board The College Board is a mission-driven not-for-profit organization that connects students to college success and opportunity. Founded in 1900‚ the College Board was created to expand access to higher education. Today‚ the membership association is made up of more than 5‚900 of the world’s leading educational institutions and is dedicated to promoting excellence and equity in education. Each year‚ the College Board helps more than
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1 Chapter 4.1 Marginal Functions in Economics ___________ Cost: Suppose that C ( x ) describes the cost function for producing x number of a certain product. Then the ___________ cost is the derivative of the cost function‚ C ( x) ‚ and measures the rate of ________ of the cost function ______________ the number of units ______________. Note 1: The marginal cost for a particular value of x is the ___________ cost of one __________ unit of production. ___________ Revenue Function: R( x) px
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many mathematical discoveries that have influenced our way of thinking‚ perhaps‚ the invention of Calculus should be considered one of the greatest achievements of mankind (Allen‚ page 1). The discovery of calculus has been a major time point in history. It has solved many mathematical problems as well as contributing to other scientific areas such as physics‚ electricity‚ and engineering. Calculus can be attributed to two famous scholars – Isaac Newton and Gottfried Wilhelm Leibnitz. Newton’s contributions
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Working On Your Essay Introduction: (150 words) 1. State your central claim Society will be in anarchy if the For example a murder can claim to have gotten pleasure out of killing someone – society cannot function if individuals perceptive view of pleasure are deemed morally correct. Another example is the act of rape were it is seen as a pleasurable act for the individual performing the act however this 2. two arguments used to support the claim. 3
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Maxima and Minima First Derivative Test 1) We are given the function First‚ we find the derivative: We set the derivative equal to 0 and solve: Since the domain of f is the same as the domain of f’‚ 4 is the only critical number of f. Testing: x < 4 | f’(0) = -8 | f is decreasing | x > 4 | f’(5) = 2 | f is increasing | By the First Derivative Test‚ x = 4 is a local minimum. 2) We are given the function First‚ we find the derivative: We set the derivative
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Maggie Friedman Professor Sullivan TSEM 102 Section 058 22 September 2014 Eli Whitney invented the cotton gin in the late 1800’s. Its original purpose was to help people separate cotton fibers from their seeds. This process was necessary in order to use the cotton in its proper way. This invention came at a time when slavery was starting to slowly become less crucial to the nation’s economy and freeing slaves was gaining momentum. The cotton gin soiled all plans of reducing slavery by increasing
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taking Mr. Hale’s AP Calculus class‚ I have co founded the science club‚ and I play tennis outside of school. I think I would be an asset to the Honor Society because I am really organized. I know if you ever see my books in the hallway they are kind of a mess with papers but I know how to set up conferences‚ make lists‚ and organize events. I also never give up. In anything I do‚ I believe that if you start something you should see it through. One example of this is my calculus class. I started out
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The reason why I want to learn AP® Calculus AB is first of all‚ I need a fourth math credit in order to graduate‚ I need this in order to pursue the career I want to major in. The major I would like to take in college is Computer Science so Calculus is very important to take. There is nothing specific I am looking forward to learning in this course except for learning differential calculus and integral calculus. I hope to achieve an understanding of calculus and to learn how to solve problems by
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MAT114 Multivariable Calculus and Differential Equations Version No. 1.00 Course Prerequisites L T P C 3 0 2 4 : 10+2 level Mathematics/ Basic Mathematics (MAT001) Objectives This Mathematics course provides requisite and relevant background necessary to understand the other important engineering mathematics courses offered for Engineers and Scientists. Three important topics of applied mathematics‚ namely the Multiple integrals‚ Vector calculus‚ Laplace transforms which require knowledge of
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