Cubic equations
Cubic equations Acubicequationhastheform ax3 +bx2 +cx+d =0 wherea =0 Allcubicequationshaveeitheronerealroot,orthreerealroots. Inthisunitweexplorewhy thisisso. Then we ...
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Title: Simultaneous equations and the method of …
www.mash.dept.shef.ac.ukC. Leech, Coventry University, June 2000. MATHEMATICS SUPPORT CENTRE Title: Simultaneous equations and the method of substitution. Target: On completion of this worksheet you should be able to solve
Polynomial division - University of Sheffield
www.mash.dept.shef.ac.ukPolynomial division In order to simplify certain sorts of algebraic fraction we need a process known as polynomial division. This unit describes this process.
SUPPORT CENTRE - University of Sheffield
www.mash.dept.shef.ac.ukMATHEMATICS SUPPORT CENTRE Title: Simple Index numbers Target: On completion of this worksheet you should be able to calculate simple index numbers, and a weighted index.
Partial fractions - University of Sheffield
www.mash.dept.shef.ac.ukPartial fractions Analgebraicfractionsuchas 3x+5 2x2 −5x−3 canoftenbebrokendownintosimplerpartscalled partialfractions. Specifically 3x+5 2x2 −5x−3 2 x−3 1 ...
cos x bsin x Rcos(x α - University of Sheffield
www.mash.dept.shef.ac.ukKey Point acosx+bsinx canbewrittenas Rcos(x−α) where R = a2 +b2, tanα = b a Thisisaveryusefultooltohaveatone’sdisposal. Itreducesthesumoftwotrigonometric ...
A26 MATHEMATICS SUPPORT CENTRE
www.mash.dept.shef.ac.ukMathematics Support Centre,Coventry University, 2001 MATHEMATICS SUPPORT CENTRE Title: Remainder Theorem and Factor Theorem Target: On completion of this worksheet you should be able to use the remainder and factor theorems to find factors of polynomials.
Deciding on appropriate statistical methods for your …
www.mash.dept.shef.ac.ukDeciding on appropriate statistical methods for your research: What is your research question? Which variables will help you answer your research question and which is the dependent variable? What type of variables are they? Which statistical test is most appropriate? Should a parametric or non-parametric test be used?
Variance and standard deviation (grouped data)
www.mash.dept.shef.ac.ukStandard deviation = √ 138.727 =11.78 Exercises Find an estimate of the standard deviation of the following: 1. a) Lifetime Frequency b) Income Frequency c) House Frequency (hours) of (1000’s £) prices components (1000’s £) 300 ≤ l<400 13 10 ≤ i<15 9 40 ≤ p<60 5 400 ≤ l<500 25 15 ≤ i<20 16 60 ≤ p<80 9 500 ≤ l<600 66 20 ≤ ...
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