..._____ _________________ Mean Value Theorem: If f is continuous on [a, b] and differentiable on (a, b), then there exists a number c on (a, b) such that [pic] ____________________________________________________________ __________________ Intermediate Value Theorem: If f is continuous on [a, b] and k is any number between f (a) and f (b), then there is at least one number c between a and b such that f (c) = k. ____________________________________________________________ _________________ [pic] [pic] ____________________________________________________________ __________________ Definition of a definite integral: [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic] [pic]...
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...LoYOLA INSTITUTE OF BUSINESS ADMINISTRATION | Counseling Skills | HUMAN NATURE | | AROKIA MARCINA J DINESH KANTH | 1/27/2012 | Humans are always focused, have fear in life, run for the success and worried of the same. This distinguishes their character which includes thinking, feeling, action etc. With this notion they try to attain success in life and success in not by excellence. But some make end of their life due to frustration, emotions, negative attitude, failure on their goals and lack of confidence in them, lack of excellence etc. Next in the order comes competitiveness of attain the success. It makes one happy and most of the others unhappy at various levels. The competitiveness arises due to positional power, attaining self goals, bargaining power, family commitments etc. Everything in this world in measurable thus every people has to measure the values, belief, knowledge etc and act accordingly to the benefits of themselves as well as to others. But what happens in real scenario? Most of the people don’t measure and plan it accordingly this brings competitiveness among people. This brings various differentiations among the people, give rise to cultural differentiation, separation, attitudinal changes etc. How human lives get complicated as he grows up? It’s nothing but by various INTERPRETATIONS in his carrier and its starts from the place where he is born and grown up etc. For instance most of student believes that success in studying is achieved by...
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...Brand Culture and Consumer Interaction Brand culture is an integral component of our consumer culture. Consumers’ identification with certain brands influences their purchasing behaviors. As such, companies aim to develop an ethos and worldview through their brand that the consumer desires and identifies with. Once this is accomplished, the consumer “buys” into the brand. Harley Davidson, Apple, and Coca-Cola are examples of brands that have excelled in establishing this brand identification amongst its customer base. One method in which companies can further establish this brand identification is by engaging the customer with brand interaction. Nike is a contemporary brand that fully utilizes customer interaction and engagement to promulgate its brand culture. Customer interaction and engagement with the brand leads to effects that are echoed by the authors of this week’s readings concerning brand culture and user commodification. Lee and Klein identify that brands conjure up emotions in consumers and that is what influences their purchasing decisions, as a result of the brand identification established. Nike is able to emotionally tie its customers to its brand by allowing its customers to fully engage with its brand through the ways in which customers can interact with its products and product development. The NikeID program is an example of how Nike allows customers to interact and engage with its brand. Nike allows customers to design their own shoes and accessories...
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...This article addressed the five arcs of supply chain integration by analysing the 322 manufactures. Overall, it can be divided into seven parts. In the first two parts, it is a theoretical introduction of some important conceptions like the supply chain integration, including two types of integration (forward and backward), as well as two different arcs of integration (narrow and broad).in the third part-case study, the author researches 322 cases in order to support the hypothesis that the greatest change will happen in the company that integrates supply chain with the widest arc. These 322 cases were studied independently and dependently respectively with five different types of integration strategies (in-ward, periphery-, supplier-, customer- and out-ward). According to this research, four tentative conclusions arise which strongly support hypothesis in part four: 1. Out-ward facing supply chain strategy means the largest improvement. 2. Manufactures with in-ward strategy may face the most severe crisis. 3. Both supplier- and customer- facing can absorb more profit than in-ward and periphery-facing group. 4. Periphery-facing could balance the external environment in some extent. Moving on to part five. The author comes up with two conclusions and some practical significance. One is that the five kinds of supply chain strategies has its potential value in future research, the other is that the company with the widest arc of both supplier and customer has the...
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...ENSEMBLE Case Study: Partners HealthCare System Partners HealthCare uses InterSystems Ensemble to integrate internal and external EMRs Partners HealthCare System Inc., based in Boston, Massachusetts, is an innovative integrated healthcare network that includes multiple major hospitals with more than 7,000 physicians attending to four million outpatient visits and 160,000 admissions per year. Partners’ institutions, including Massachusetts General Hospital and Brigham and Women’s Hospital, consistently rank among the best hospitals in the United States, according to U.S. News and World Report. To maintain its leadership status, Partners establishes enterprise-wide, CEO-supported corporate initiatives under the banner of “HighPerformance Medicine.” “Ensemble has given us tremendous flexibility with data transformations, and made us much more agile in delivering on this type of integration.” Steve Flammini, CTO One of these initiatives includes electronic medical record (EMR) adoption by all community physician practices in the Partners system. To achieve this goal, Partners offers these physicians full, Webbased access to its internal EMR. But first, Partners must rapidly create interfaces (programs that handle data translation and transmission between systems) to the community physicians’ practice management and scheduling systems, and integrate that data into its EMR. The initiative also gives participating physicians access to more than three...
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...the function f (x) = x3 − 6x2 + 9x − 3 (a) find f (x). (b) determine all the critical points of f. (c) find the intervals where f is increasing and where it is decreasing. (d) classify each critical point as relative maximum or minimum. (e) Find f (x). (f) Find the intervals where the graph of f is concave up and concave down. (g) Determine the inflection points. Page 2 20 points 2. Evaluate the following limits: (a) lim x2 − 4x + 4 x→2 x3 + 5x2 − 14x (b) lim x2 x→0 cos 8x − 1 (c) lim x − 8x2 x→∞ 12x2 + 5x (d) lim e3x − 1 x→0 ex − x (e) lim x2 e−x x→∞ Page 3 18 points 3. Find the following indefinite integrals: (a) 3 cos 5x − √ + 6e3x dx x (b) √ 4x dx x2 + 1 (c) x2 + √ x x−5 dx Page 4 15 points 4. Evaluate the following definite integrals: 1 (a) 0 x4 + 3x3 + 1dx e2 (b) 1 (ln x)2 dx x π 4 (c) 0 (1 + etan x ) sec2 xdx Page 5 8 points 5. Sketch and find the area of the region that lies under y = ex and above the x axis over the interval 0 ≤ x ≤ 7. 8 points 6. A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 800 m of wire at your disposal, what is the largest area you can enclose and what are its dimensions? Page 6 14 points 7. For the function f (x) = e−x (a) find f (x) 2 (b) find an equation of the tangent line to the graph of f at x = 0. (c) find...
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...INTEGRALS Essential Calculus, James STEWART October 17, 2011 Essential Calculus, James STEWART () INTEGRALS October 17, 2011 1 / 34 Indefinite integrals Recall: A function F is called an antiderivative of f on an interval I if F (x) = f (x) for all x in I . Essential Calculus, James STEWART () INTEGRALS October 17, 2011 2 / 34 Indefinite integrals Recall: A function F is called an antiderivative of f on an interval I if F (x) = f (x) for all x in I . Definition The family of all the antiderivative of f is called indefinite integral of f , denoted by f (x)dx, f (x)dx = F (x) mean F (x) = f (x) Essential Calculus, James STEWART () INTEGRALS October 17, 2011 2 / 34 Indefinite integrals Recall: A function F is called an antiderivative of f on an interval I if F (x) = f (x) for all x in I . Definition The family of all the antiderivative of f is called indefinite integral of f , denoted by f (x)dx, f (x)dx = F (x) mean F (x) = f (x) b Remark: A definite integral a f (x)dx is a number whereas an indefinite integral f (x)dx is a function (or family of function). Essential Calculus, James STEWART () INTEGRALS October 17, 2011 2 / 34 Indefinite integrals Remark: The symbol is called an integral sign, f (x) is called the integrand and a and b are called the limits of integration; The dx simply indicates that the independent variable is x. The procedure of calculating an integral is called integration...
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...Our organization is a large decentralized management culture, with over 100 operating companies that almost have their own individual operation and technology. However, regardless of the hardware, software, operations, and management, information such as client data, sales numbers, product purchased, etc., are all elements necessary for Sysco to integrate and analyze in order to improve within the corporate culture. We can do that Business Objects’ BI. The idea is to use our current data and help with future business. Therefore, we must first show the system’s capabilities and value through areas where the system can provide most value. First, by analyzing customer and product purchasing data, the system allows us to quickly analyze customer purchasing behavior – what type of products purchased, when the products are purchased, the customer’s relative location and volume, etc.. Sysco is a service/product provider with an integrated operation that generates over 23 billion dollars in sales (in 2002). Therefore, it is vital for Sysco to stay ahead of the game and know what our customers need and want. It is crucial for us to continue to provide a “happy” service experience for all of our customers and maintain their loyalty. This also directly leads to the second question which the BI will be able to further analyze is the focus on our most valued asset – customers. How do we keep them happy if we do not know what is driving them away? Customer’s historic purchasing data...
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...Exercises in Classical Real Analysis Themis Mitsis Contents Chapter 1. Numbers 5 Chapter 2. Sequences, Series and Limits 11 Chapter 3. Topology 23 Chapter 4. Measure and Integration 29 3 CHAPTER 1 Numbers E 1.1. Let a, b, c, d be rational numbers and x an irrational number such that cx + d 0. Prove that (ax + b)/(cx + d) is irrational if and only if ad bc. S. Suppose that (ax + b)/(cx + d) = p/q, where p, q ∈ Z. Then (aq − cp) x = d p − bq, and so we must have d p − bq = aq − cp = 0, since x is irrational. It follows that ad = bc. Conversely, if ad = bc then (ax + b)/(cx + d) = b/d ∈ Q. E 1.2. Let a1 ≤ a2 ≤ · · · ≤ an and b1 ≤ b2 ≤ · · · ≤ bn be real numbers. Prove that n i=1 ai n j= 1 b j ≤ n n ak bk k=1 and that equality obtains if and only if either a1 = an or b1 = bn . S. Since {ai }n=1 and {bi }n=1 are both increasing, we have i i n n 0≤ (ai − a j )(bi − b j ) = 2n ak bk − 2 ai 1≤i, j≤n k =1 i= 1 n j=1 b j . If we have equality then the above implies (ai − a j )(bi − b j ) = 0 for all i, j. In particular (a1 − an )(b1 − bn ) = 0, and so either a1 = an or b1 = bn . E 1.3. (a) If a1 , a2 , . . . , an are all positive, then n n 1 a ≥ n2 ...
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...One Smooth Stone Jennifer Riley Man 103 Management Principles Instructor Vicki Yanaga Saturday march 3, 2012 Mission of the One Smooth Stone is this, “We help clients build relationships critical to success of their business through exceptionally crafted programs and even in both physical and virtual environments.” In order to understand a company devised like One Smooth Stone it is best for discussing the different organizational structures and, other classifications also the cultures of the diversified company. Their business structures are also specialization and integration and structural integration and also delegation and the differentiation (One Smooth Stone). The One Smooth Stone is also unique how they have handled their business structures and even the cultures. This is a family oriented company that also cares about each other. Mainly their goal is also to provide the theatrical presentations and also with their clients, in the educational and fun with the empowering atmosphere to. With One Smooth Stone is really working hard for studying up on the clients and also to do the extra research on many of, their client’s needs and also offering the own expertise along with to better serve the clients. The team members also work together as a team and integrate the ideas plus take actions when it is necessary and making, each of the members responsible for their many jobs. There isn’t no one boss...
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...Material Requirements Planning Areas Use In this section you will find information about how Material Requirements Planning Areas (MRP areas) are transferred from SAP R/3 to the location master data of the SAP Advanced Planner and Optimizer (SAP APO). An MRP area is understood to be a planning area within a plant that is subject to separate inventory management and material requirements planning. Features The Material Requirements Planning Area in SAP R/3 You can find information on the MRP areas in SAP R/3 under the components Logistics ® Production Planning and Control (PP) ® Requirements Planning ® Special Planning Process ® MRP Area. The Material Requirements Planning Area in SAP APO. The SAP R/3 MRP area of a plant is represented as the location Production Plant in SAP APO. All additional SAP R/3 MRP areas are represented as locations with their own location types. Restrictions: The SAP R/3 MRP area may only be assigned to one storage location. The process Subcontracting MRP Area in SAP R/3 is supported in APO without an MRP area. Integration R/3 – APO You can transfer the MRP area to SAP APO via the integration model APO Core Interface (CIF) and then create this as a location with the corresponding location type in connection with the MRP area of a plant or another MRP area. If MRP area processing is activated in SAP R/3 you can use CIF to control whether you would like to work with MRP areas in SAP APO. SNP Planning ...
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...Since play is integral to a child’s world, it becomes the gateway to engaging in mathematical inquiry. Sarama and Clements suggest that mathematical experiences can be narrowed down into two forms, play that involves mathematics and playing with mathematics itself (2009, p. 327). Further, it is the adult present during the play who is able to recognize how the children are representing their mathematics knowl- edge and then build on their understanding through prompting and questioning. Sarama and Clements stress that “the importance of well-planned, free-choice play, appropriate to the ages of the children, should not be underestimated. Such play … if mathematized contributes to mathematics learning” (2009, p. 329). Educators also provide experiences in playing with mathematics itself by using a repertoire of strategies, including open and parallel tasks that provide differentiation to meet the needs of all students and ensure full participation. Moreover, students do not have to see mathematics as compartmentalized, but instead as it mirrors their life experiences through other subject areas like science and the arts. As such, “high quality instruction in mathematics and high quality free play need not compete for time in the classroom. Engaging in both makes each richer and children benefit in every way” (Sarama & Clements, 2009, p. 331). This equity of opportunity is essential so all students can fully develop their mathematical abilities. A carefully planned mathematics...
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...Section 1.2 (Page 87) (Calculus Book): 14, 23, 26, 29, 30, 31, and 32 14.��������→�� ���� +���� −����+�� ���� −����+�� ���� + ���� − ���� + �� = ������ �� ��→�� �� − ���� + ���� − �� − ���� + �� ���� − ���� + ������ − ���� − ���� + �� = ������ �� ��→�� �� �� − �� + �� �� − �� − �� �� − �� ���� �� − �� + ���� �� − �� − �� �� − �� = ������ ��→�� ���� + �� − �� �� − �� ���� �� − �� + ���� �� − �� − �� �� − �� = ������ ��→�� �� − �� �� − �� �� − �� ���� + ���� − �� = ������ ��→�� �� − �� �� − �� ���� + ���� − �� − �� = ������ �� ��→�� �� + ���� − �� − �� = ������ ��→�� �� �� + �� − �� �� + �� �� �� + �� − �� �� + �� �� + �� �� − �� �� + �� �� − �� �� + �� �� + �� �� = = �� + �� �� + �� �� ��+�� ���� −���� = ������ ��→�� = ������ ��→�� 23 ������ ��→�� = ������ ��+�� ��→�� ��+�� ��−�� ⟹ ������ ��→�� �� �� �� = = = ������������������ ∴ ���������� ����������′ �� ���������� �� − �� �� − �� �� ��−�� ���� −����−�� 26 ������ ��→�� = ������ ��→�� ��−�� ���� −����+����−�� = ������ ��−�� ��→�� �� ��−�� +�� ��−�� Page | 1 = ������ ��→�� �� − �� �� − �� −�� �� = = = �� − �� �� + �� �� − �� �� + �� �� × �� �� ∴ ���������� �������� ������ ����������. �� − �� ��−�� �� �� = ������������������; 29������ ��→�� ��−�� ��−�� = ������ ��→�� = ������ ��→�� ��−�� ��+�� ��−�� = ������ ��→�� �� + �� = �� + �� = �� + �� = �� ��−�� 30������ ��→�� ��− �� = ������ �� �� − �� �� ��→�� ��−...
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...| +c ∫ sec ∫ csc 2 x dx = tan x + c x dx = − cot x + c 2 ∫ sec x tan x dx = sec x + c ∫ csc x cot x dx = − csc x + c 1 INTEGRATION Techniques of integrations: - substitutions ∫ f ( g ( x)) g ′( x) dx = F(g(x)) + c u = g(x), du = g′ (x) dx ⇒ ∫ f (u)du = F (u ) + c Area between two curves If f(x) > g(x) for all x in [a, b], then the area of the region between the graphs of f(x) and g(x) and between x = a and x = b is given by A = ∫ [ f ( x) − g ( x)] dx a b Double integrals (a) Computing the double integral over a rectangular If R is the rectangular a < x < b and c < y < d, then ∫∫ (b) R d b b d f ( x, y ) dxdy = ∫ ∫ f ( x, y ) dx dy = ∫ ∫ f ( x, y ) dy dx ca ac Computing the double integral over a nonrectangular region If R is the region a < x < b and c(x) < y < d(x), then ∫∫ (c) R b d ( x) f ( x, y ) dxdy = ∫ ∫ f ( x, y ) dy dx a c( x) Computing the double integral over a nonrectangular region If R is the region a(y) < x < b(y) and c < y < d, then ∫∫ R b( y ) f ( x, y ) dxdy = ∫ ∫ f ( x, y ) dx dy c a( y) d 2 INTEGRATION AREA...
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...10524 – Calculus I Fall 2012 WIN 148 11:00 – 11:50 am MTRF Instructor: Dr. Efton Park TUC 313 817-257-6345 e.park@tcu.edu 10:00 – 10:50 am MTRF and by appointment Office Hours: Course Web Page: http://faculty.tcu.edu/epark/calc1.html Final Exam: Required Text: 11:30 am – 2:00 pm Tuesday, December 11 Calculus: Early Transcendental Functions, 5th edition, by Larson and Edwards Additional Resources: A graphing calculator of some sort may be helpful. I recommend a TI calculator because that is what I will be using in class. However, students possessing calculators such as the TI-89 or TI-92 that have symbolic calculus capabilities will have restricted use of such calculators on homework and exams. Course Description: Differential and integral calculus of elementary functions, including exponential, logarithmic, and trigonometric functions. Applications. Note: credit will not be given for both MATH 10283 and MATH 10524. Purpose of Course: This course currently meets all or part of the following requirements for a degree: UCR math requirement Requirement within the Mathematics B.A. and B.S majors Requirement or elective for other majors Prerequisites: MATH 10054 with a grade of C or better, or AP Calculus AB or BC score of 3 or better, or SAT Subject Test (SAT II), Mathematics Level 1 (1C) with a score of 560 or better, or SAT Subject Test (SATII), Mathematics Level 2 (IIC) with a score of 520 or better, or a passing grade on the Calculus Placement Test. Course Objectives:...
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