1) Find the x coordinates of all relative extreme points of[pic]. |A)[pic] |B) [pic] |C) [pic] |D) [pic] |E) [pic] | [pic] First find the derivative of the function[pic]‚ f ’(x): |[pic] |= |[pic] |apply power rule of differentiation | | |= |[pic]
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inverse / the inverse of A 5. Functions f(x) fx / f of x / the function f of x f:S→T a function f from S to T x→y x maps to y / x is sent (or mapped) to y f’(x) f prime x / f dash x / the (first) derivative of f with respect to x f”(x) f double-prime x / f double-dash x / the second derivative of f
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Banc One Case Analysis Case Summary Banc One has a problem with the alignment of two of its important strategies: (1) rapidly acquiring profitable banks and (2) sustaining high returns while mitigating interest rate risk. Banc One has been very successful in acquiring banks‚ and much of this is done through the sale/transfer of Banc One’s stock. This strategy relies heavily on Banc One’s ability to maintain a high stock price. The second
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Newton developed the use of calculus in his laws of motion and gravitation.• Astronomical science deeply depend on calculus.• Space technology use calculus in many ways.• Calculus is used to build tracks. 8. Calculus in Economics• Functions and derivatives of calculus are relate to relevant concepts in economics.• Economic research uses calculus functional relationships‚ relation of income ‚ market prediction etc.• Differentiation is used to find optimum solutions of economics.• Calculus also used
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First‚ we let the polynomial fn(x)= a0 + a1x + a2x2 + ... + anxn approximate f(x) near x=0‚ and let this functions first n derivatives match the the derivatives of f(x) at x=0. So if we want to make the derivatives of fn(x) equal to f(x) at x=0‚ we have to chose the coefficients a0 through an properly. How do we do this? We’ll write down the polynomial and its derivatives as
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Diploma Programme Mathematics SL formula booklet For use during the course and in the examinations First examinations 2014 Published March 2012 © International Baccalaureate Organization 2012 Mathematical studies SL: Formula booklet 5045 1 Contents Prior learning 2 Topics 3 Topic 1—Algebra 3 Topic 2—Functions and equations 4 Topic 3—Circular functions and trigonometry 4 Topic 4—Vectors 5 Topic 5—Statistics and probability 5 Topic 6—Calculus
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recent years there has been considerable growth in the use of credit derivatives‚ which protect lenders against the risk that a borrower will default. For example‚ bank A may be reluctant to refuse a loan to a major customer (customer X) but may be concerned about the total size of its exposure to that customer. Speculators in search of large profits (and prepared to tolerate large losses) are attracted by the leverage that derivatives provide. By this we mean that it is not necessary to lay out much
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In-arrears swap Also known as a delayed reset swap‚ an in-arrear swap is an interest rate fixed for floating swap that has its floating leg that pays at the regular payment date a rate that has just reset (usually that has reset two business day ago for Euro JPY and USD swap and that has just reset for GBP swap). In the case of swap paying every six months‚ the reset rate at the payment date would be fixed six months and two days ago in a regular swap only two days ago in the in-arrear version
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benchmark‚ had become less well correlated with the global crude oil market (ref). In this case study report we discuss hedging and various financial instruments used. We delve into airlines’ hedging strategies in general; explain the types of derivative instruments used; what they are and how they are used; hedgeable and non-hedgeable risks; the extent of airline fuel hedging; rationale for airlines’ cross hedging strategies; explain crack spread‚ and the risks involved in fuel
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Option Trading Strategies and Their Effectiveness in the Indian Market The project starts with introduction to: * Overview of Derivatives and mainly Options. * The working and mechanics of options and how they help in hedging and trading. * History of Options with respect to Global & Indian Markets. * The advantages of Options The project mainly aims to cover the conceptual and theoretical background of the study including option terminology‚ option payoffs‚ payoff profiles
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