ASSIGNMENT 6 MA240 College Algebra Directions: Be sure to make an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated‚ answer in complete sentences‚ and be sure to use correct English spelling and grammar. Sources must be cited in APA format. Your response should be a minimum of one (1) single-spaced page to a maximum of two (2) pages in length; refer to the "Assignment Format" page for specific format requirements. NOTE: Show your
Premium Function Variable Order theory
Algebra Archit Pal Singh Sachdeva 1. Consider the sequence of polynomials defined by P1 (x) = x2 − 2 and Pj (x) = P1 (Pj−1 (x)) for j = 2‚ 3‚ . . .. Show that for any positive integer n the roots of equation Pn (x) = x are all real and distinct. 2. Prove that every polynomial over integers has a nonzero polynomial multiple whose exponents are all divisible by 2012. 3. Let fn (x) denote the Fibonacci polynomial‚ which is defined by f1 = 1‚ f2 = x‚ fn = xfn−1 + fn−2 . Prove that the inequality 2 fn
Premium Polynomial Real number Integer
(I made this when I was a freshman. I’m now a Junior.) Why do we need to learn Algebra? What’s the point of learning Algebra in the first place? After all‚ all of the math leading up to Algebra that we learned growing up such as addition‚ multiplication‚ decimals‚ fractions‚ et cetera that seems to have a concrete meaning? This concept all deals with numbers‚ in some way or another‚ and because of this we can apply it to our daily lives like calculating‚ and in our chosen career. In short
Premium Mathematics Skill Real number
Algebra Algebra was invented by the Muslim mathematician Al-Khwarizmi in the book he wrote in 820. Algebra is the Arabic word (aljabr) for "equation"‚ and the word "algorithm" comes from the author’s name‚ Al-Khwarizmi. He is rightly known as "the father of Algebra The roots of algebra can be traced to the ancient Babylonians‚ who developed an advanced arithmetical system with which they were able to do calculations in analgorithmic fashion. The Babylonians developed formulas to calculate solutions
Premium Elementary algebra Algebra Mathematics
CMU Spring’14 18-760 VLSI CAD [100 pts] Homework 1 Out Wed‚ Jan 22; Due Mon‚ Feb 3 (by noon in HH1112) 1. Properties of Boolean Difference [15 pts] (i) Use Boolean algebra and the basic properties of Shannon cofactors from the notes to show that this identity is true. Again‚ f and g are functions of x1‚x2‚...xn‚ and x refers to some arbitrary variable in x1‚x2‚...xn. ∂ ( f + g) ∂g ∂f # ∂f ∂g & = f • ⊕ g• ⊕% • ( ∂x ∂x ∂x $ ∂x ∂x ’ Hints: (a) Notice that there are no “x” variables
Premium
RHETORICAL ANALYSIS OF professional WRITING Prepared for Kaye Sanders LLD 100A Instructor San Jose State University Prepared by R. B. LLD 100 A San Jose University February 12‚ 2013 Introduction A message can be sent and received between people in various ways‚ but it requires a great deal of background and knowledge regarding the subject matter of the desired message. The writing is one of the most fundamental forms of communication that gives
Free Rhetoric Writing Electrical engineering
Question 1.1 The six components or variables of the macro environment: Technological environment‚ which continuously brings change and innovation to the business world. Factors that may affect Johnson Matthey are because he operates in an industry that is driven by advancements in technology in order for him to remain competitive his company would need highly skilled workforce and new and more efficient ways of meeting challenges faced by this industry. To be at the forefront of technological
Premium South Africa Africa Economic system
Pamantasan ng Lungsod ng Maynila (University of the City of Manila) Intramuros‚ Manila ADVANCED ALGEBRA Submitted by: Madid‚Rohainee G. Submitted to: Dela Cruz‚ Roberto J. Submitted on: July 6‚ 2012 EQUATIONS: 1. x2+y-12=1 (x-1)2+y2=1 2. x2+2y2=4 x-y-1=0 3. 4x2+y2=1 x2+4y2=1 ------------------------------------------------- Blitzer‚ Robert. “Algebra For College Students 2nd Ed.” 1994 p. 736 EQUATIONS: 1. 4x2+9y2=36 2x2-9y2=18 2. x2+y2=1
Premium Imperial units Yard Inch
Tatenda Shumba Shane Johnson Per 4 Is algebra necessary? Algebra is important to learn. But it is not necessary. Life existed before algebra was invented and could still continue without it. There are many applications of Algebra in real life situations. It is important to learn the basics‚ especially when it comes to money and finance. Many adults use the basics but not anything beyond‚ like if you were to go around and ask what is the quadratic equation not most adults would get it
Premium Real number Elementary algebra Quadratic equation
Illegal street racers‚ or in the well known names‚ Mat Rempit‚ is a serious issue that knock our country right now. Known for their kamikaze skills on the road‚ causing chaos in society‚ their unmannered attitude and the current is murdering people. Statistics shows that this group causes too many crime and problems. With their enormous amount‚ they felt like the road is belongs to them and nobody have any rights to punish them. This is why almost everyday we heard and see their actions and news
Premium