Calculus 2 (BT) Homework Assignment #1 Spring 2015 Deadline: 8:00 AM on Thursday, March 26, 2015 Remarks: -Students hand in the solutions to the first 25 problems listed below: 20 problems of Chapter 1 and problems 1-5 of Chapter 2. -Students should show the solutions in A4 paper size. The solutions must be in the order as listed. Chapter 1: (20 problems) Section 9.1: 45. Section 9.2: 18, 27, 33, 53, 55. Section 9.3: 4, 5, 39, 42. Section 9.5: 4, 11, 21, 22. Section 9.6: 11, 22, 30, 37, 40
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Permutations Definition: A permutation of a set X is a rearrangement of its elements. Example: Let X = {1, 2, 3}. Then there are 6 permutations: 123, 132, 213, 231, 312, 321. Definition : A permutation of a set X is a one-one correspondence (a bijection) from X to itself. Notation: Let X = {1, 2, . . . , n} and α : X → X be a permutation. It is convenient to describe this function in the following way: α= 1 2 ... n α(1) α(2) . . . α(n) . Example: 1 2 2 1 1 2 3 1 2 3 1 2 3 2 3 1 1 2 3 4 1 4 3
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Ben Lopez MATH112 Phase 4 Discussion Board September 10, 2014 I find the Quadratic Formula to be the easiest method to solve a quadratic equation. I like that this formula can be used to solve any quadratic equation, unlike factoring, for example, because there are some quadratic equations that cannot be factored. I also like that the formula is consistent and if I follow the formula’s steps every time, I will get the correct results. I find that solving quadratic equations by graphical
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Sent, 02/17/2015 8:00 AM From: Perry Seibles To: Jason Smith Cc: Madison Akers Subject: Object Relation vs Standard Relational Systems Hello Jason, this email is in regards to your information request on object relational and standard relational systems. First, to better understand either of these systems one must understand how the data models have evolved and how they have become an important part of everyday business. There will always be a need to improve the way data is managed. Since
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Understanding BTEC IT L3 Using the resources below try & answer the following questions: Resources: * CRL\ICT\Sixth Form\BTEC * http://www.edexcel.com/BTEC/Pages/default.aspx * Internet Questions: 1. What is a BTEC? BTECs are work-related qualifications 2. Where can a BTEC take you? it can take u many places and it is recognised by schools, colleges, universities, employers and professional bodies 3. What does BTEC stand for? 4. What is full name of the BTEC
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Int. J. Engng Ed. Vol. 14, No. 2, p. 145±152, 1998 Printed in Great Britain. 0949-149X/91 $3.00+0.00 # 1998 TEMPUS Publications. Teaching Mathematics to Engineering Students* S. S. SAZHIN School of Engineering, University of Brighton, Cockcroft Building, Moulsecoomb, Brighton BN2 4GL, UK Some new ideas in teaching mathematics to engineering students and the implementation of these ideas into the teaching of mechanical engineering students at Brighton University are discussed. The importance
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O Solving Systems of Linear Equations using Inverse of a Matrix & Elementary Row Operations Consider: [pic] be a linear system of n equations in n unknowns and let [pic] be the coefficient matrix so that we can write the given system as AX = B where [pic]. If [pic] then the system has a unique solution. To solve for SLE of the form, [pic], [pic]. Recall: For SLE in 2 unknowns: For SLE in 3 unknowns: given [pic] , given [pic]
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In the following exercises, determine whether each statement “makes sense” or “does not make sense” and explain your reasoning in 50 to 100 words for each answer. 1. I’m using an inverse variation equation and I need to determine the value of the dependent variable when the independent variable is zero. In this Rational expression it seems that the expression is considered undefined. My reasoning for this is because is because a rational expression does not have a value when it
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Addition of Matrices Denote the sum of two matrices A and B (of the same dimensions) by C = A + B.. The sum is defined by adding entries with the same indices [pic] over all i and j. Example: [pic] Subtraction of Matrices Subtraction is performed in analogous way. Example: [pic] Scalar multiplication To multiply a matrix with a real number, we multiply each element with this number. Example: [pic] Multiplication of a row vector by a column vector This multiplication is only possible
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developed specifically for our company. In land development, there are a number of factors that need to be taken in consideration to keep track of lots and blocks within different subdivisions. As well as lots being bought and sold to companies and individuals. The database system we use is called Ginger, a custom database designed to achieve the following objectives for our company: 1. Replace our old database. 2. Combine date from the old database. 3. Improve usability of the database by improving
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