Formulas (to differential equations) Math. A3‚ Midterm Test I. sin2 x + cos2 x = 1 sin(x ± y) = sin x cos y ± cos x sin y tan(x ± y) = tan x±tan y 1∓tan x·tan y differentiation rules: (cu) = cu ′ ′ ′ ′ ′ (c is constant) cos(x ± y) = cos x cos y ∓ sin x sin y (u + v) = u + v (uv)′ = u′ v + uv ′ ′ ′ u ′ = u v−uv v v2 df dg d dx f (g(x)) = dg dx sin 2x = 2 sin x cos x tan 2x = sin x = 2 cos 2x = cos2 x − sin2 x 2 tan x 1−tan2 x 1−cos 2x ‚ 2 integration rules: cos x = 2
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27 Q1. Hedging in Complete and Incomplete market Solution: Complete market Suppose we have m states. A complete market A is one with the marketed subspace Span(A.1‚A.2‚ ⋯‚ A.n) includes all possible payoffs over the m states‚ i.e.‚ if it contains all possible m-dimensional vectors. Incomplete market Suppose we have m states. An incomplete market corresponds to a market with fewer linear independent assets than states‚ i.e. Rank (A) < m.
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1. Economics is the study of the choices that we make in the allocation of scarce resources. 2. In choosing whether or not to go to a particular concert ... if the marginal benefit (marginal utility) gained is greater than the marginal cost‚ then it would be “rational” to go. 3. A real cost of choosing to attend a concert is not only the out-of-pocket $ $ $ cost‚ but also the opportunity (lost wages or maybe extra sleep). Every activity we undertake requires us to not pursue other opportunities
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Environmental Science I Syllabus Teacher: Ms. Thompson Room: M1 Email: Textbook: Environmental Science‚ Course Description: The purpose of this course is to explore and inquire how humans interact with their environment from their own ecological footprint to world impact. This exploration will provide students with a wider spectrum of their place on the biosphere. Units of Study: Chapter 1—Science and The Environment
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1/17/2013 CHEM 110: Welcome! Why should a non-science major study science? What are your answers? • Take handouts from front table (3 of them plus a small‚ purple square of paper o o • Begin by: Filling in the information sheet (this will be turned in at the end of class) Forming groups of 4-5 students to proceed with Worksheet 1.1. This will not be turned in. Why should a non-science major study science? Three possible answers • Modern science influences culture and society in profound
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TOPIC 1: RATES AND CHEMICAL EQUILIBRIUM QUESTION 1: (Taken from the DoE Physical Sciences Feb-March Paper 2 2009) Antacids are used to relieve indigestion. Indigestion is the condition when the stomach produces too much acid resulting in an uncomfortable and painful feeling. A certain antacid tablet dissolves in water and reacts with the acid in the stomach to release carbon dioxide gas. 1.1 Name the type of chemical reaction that explains why antacids bring relief from indigestion
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pay attention too. These technological impacts can affect the cost and the feasibility of recovery‚ this referring to any externalities‚ costs aside from the established price for the commodity. Linking to this we see the economical factors‚ which include commodity price‚ supply and demand‚ cartel‚ and price controls. Also any changes in price‚ regulations‚ or politics may influence resource recovery since the political and human factors involved are government/political stability; crime control; industrial
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INFORMATION Ms. Amanda Leikvold Email: amanda.leikvold@access.d2l.com You may email me at anytime but please allow 24 hours for a response. COURSE INFORMATION Nutrition and Wellness— Dates of Course: August 7‚ 2014-December 16‚ 2014 Course Description— Nutrition and Wellness is a one-semester course which provides the students with good nutrition principles for human physical and mental wellness. Discussions include wellness and food choices in today’s world‚ digestion and major nutrients
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According to their findings‚ blood glucose levels in the morning‚ after a 9hour fast‚ have a mean of 4.60 mmol / l with a standard deviation of 0.16 mmol / l . (Note: mmol / l is an abbreviation of millimoles/liter‚ which is the world standard unit for measuring glucose in blood). a . Determine the sampling distribution of the sample mean for samples of size 60. b . Repeat part (a) for samples of size 120. c . Must you assume that the blood glucose levels are normally distributed to answer parts (a)
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Math 5067 001 Homework 1 Due 9/11/13 1. Read Chapter 1 in the DHW text (sections 1.1 – 1.3 are mandatory) and answer the following: a. List at least three incentives for an insurance company to develop new insurance products. b. (Exercise 1.1 in DHW) Why do insurers generally require evidence of health from a person applying for life insurance but not for an annuity? c. (Exercise 1.3 in DHW) Explain why premiums are payable in advance‚ so that the first premium is due at issue‚ rather than in
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