Rational Algebraic Expressions 4. Rational Algebraic Expressions Note You need to understand how to multiply algebraic expressions using the distributive law before starting work on this tutorial. If you feel you need to review this‚ go back to 3. Multiplying and Factoring Algebraic Expressions. Q What is a Rational Expression? Rational Expression A rational expression is an algebraic expression of the form P/Q‚ where P and Q are simpler expressions (usually polynomials)‚ and the denominator
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Some useful expressions used in academic writing for: 1. Stating your own position on a Subject or Topic • The aim of this paper is to… • The point of this article is to… • It shall be argued in this paper/essay/review that… • The view presented in this paper/essay/review is that.. 2. Presenting your own point of view • There are many reasons why…. • It is important/necessary to point out that… • The first thing to be considered is… • It is a fact that…
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Differential Equations Second Order Differential Equations Introduction In the previous chapter we looked at first order differential equations. In this chapter we will move on to second order differential equations. Just as we did in the last chapter we will look at some special cases of second order differential equations that we can solve. Unlike the previous chapter however‚ we are going to have to be even more restrictive as to the kinds of differential equations that we’ll look at
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water according to the following equation: → 2Agϩ(aq) ϩ CrO42Ϫ(aq) Ag2CrO4(s) ← Which of these correctly represents the equilibrium expression for the above equation? 2[Agϩ] ϩ [CrO 42Ϫ] [Agϩ]2[CrO42Ϫ] [Ag2CrO4] (a) ᎏᎏ (b) ᎏ ᎏ (c) ᎏ ᎏ 1 Ag2CrO4 [Agϩ]2[CrO42Ϫ] [Agϩ]2[CrO42Ϫ] (d) ᎏᎏ 2[Ag2CrO4] 2. Are pure solids included in equilibrium expressions? Explain your answer. 3. Write the equilibrium expression for the following hypothetical equation: → 2C(aq) ϩ 3D(aq) 3A(aq) ϩ B(aq)
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articles in the constitution of India which are related to the freedom of the press? Expression through speech is one of the basic guarantees provided by civil society. Freedom of speech enjoys special position as far India is concerned. The importance of freedom of expression and speech can be easily understand by the fact that preamble of constitution itself ensures to all citizens inter alia‚ liberty of thought‚ expression‚ belief‚ faith and worship. The constitutional significance of the freedom of
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Simplifying Expressions Jennette M. Bird MAT:221 Introduction to Algebra Instructor: Mariya Ivanova February 1st‚ 2014 Simplifying Expressions In this paper‚ I will be using the properties of real numbers to simplify the given expressions for this assignment. I will demonstrate how to simplify expressions using the distributive property method‚ combining like terms‚ and by removing parentheses. I have broken down each problem to its lowest terms by using the proper
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Useful expressions to write an essay Introduction first of all to begin with in order to decide whether.... or not to outline the main points firstly‚ secondly‚ thirdly‚ finally / eventually Enumerating arguments in addition to / additionally besides / moreover / furthermore above all Weighing up arguments on the one hand..... on the other hand to consider the advantages and disadvantages arguments for and against to discuss the pros and cons in theory ... in reality both... and.... not only ..
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polynomial expression‚ so you will know how to use this in your life to solve financial problems like this. Because polynomials can help you achieve those monetary goal you desire. On page 304‚ problem #90 states: “P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually‚ then the polynomial P(1+r/2)^2 represents the value of investment after 1 year “ (Dugopolski‚ 2012). The first part requires the polynomial expression to be rewritten
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Title Gene expression with E.coli bacteria through means of transformation with plasmid DNA Abstract Science has discovered that with gene expression and genetic engineering‚ DNA and organisms can be manipulated like never before. This has become an extraordinary discovery because it has lead us to countless medicinal products and cures for diseases and continues to serve as a great asset as research continues. This lab consisted of introducing a plasmid
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mathematics at a deeper level. Review of homogeneous equations The homogeneous constant coefficient linear equation an y (n) +· · ·+a1 y +a0 y = 0 has the characteristic polynomial an rn +· · ·+a1 r+a0 = 0. From the roots r1 ‚ . . . ‚ rn of the polynomial we can construct the solutions y1 ‚ . . . ‚ yn ‚ such as y1 = er1 x . We can also rewrite the equation in a weird-looking but useful way‚ using the symbol d D = dx . Examples: equation: y − 5y + 6y = 0. polynomial: r2 − 5r + 6 = 0. (factored):
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