Formula Sheet 1 Factoring Formulas 2 Exponentiation Rules PDF

Speigel M.R.

BYJUS

The basic maths class 10 formulas are almost the same for all the boards. Download Class 10 Maths Formulas PDF Here: Linear Equations. One Variable ax+b=0 a ...

Differentiation Formulas Integration Formulas

Page 1. Differentiation Formulas d dx k = 0. (1) d dx. [f(x) ± g(x)] = f (x) ± g (x). (2) d dx. [k · f(x)] = k · f (x). (3) d dx. [f(x)g(x)] = f(

Trigonometric Formula Sheet - Definition of the Trig Functions

Even and Odd Formulas sin(−θ) = −sinθ cos(−θ) = cosθ tan(−θ) = −tanθ csc These are all the solutions (including the complex values) of the equation ...

Mensuration and Mensuration Formulas PDF

You will study the mensuration formulas and properties of different geometric shapes and figures in maths in this article. Now let's learn all the important ...

Physical Science: Tables & Formulas

Type of reaction. Generalized formula. Specific Example. Combustion. HC + O2 → H2O + CO2. 2C2H6 + 7O2 → 6H2O + 4CO2. Synthesis. A + B → AB.

Mathcentre

so that the gradient of this line is 1. What about the equation y = 2x? This also represents a straight line and for all the points on the line each y value

INDEX MATHEMATICS FORMULA BOOKLET - GYAAN SUTRA

Fundamental of Mathematics Parametric Equations of a Circle: ... (Note that lateral surfaces of a prism are all rectangle). 15. Volume of a pyramid =.

MATH FORMULAS & FUNDAS

This eBook contains a list of formulas and concepts Arithmetic. Algebra. Geometry. Modern Math ... arranging all the observations from lowest value to.

List MF19

List of formulae and statistical tables. Cambridge International AS & A Level. Mathematics (9709) and Further Mathematics (9231). For use from 2020 in all

Mensuration and Mensuration Formulas PDF

Mensuration is the branch of mathematics which studies the measurement of the Now let's learn all the important mensuration formulas involving 2D and 3D.

Mathematical Formula Handbook.pdf

Speigel M.R.

Formula Sheet 1 Factoring Formulas 2 Exponentiation Rules

Finally the quadratic formula: if a

Trigonometric Formula Sheet - Definition of the Trig Functions

Identities and Formulas Degrees to Radians Formulas ... These are all the solutions (including the complex values) of the equation x4 = 4.

BASIC GEOMETRIC FORMULAS AND PROPERTIES

For further or more advanced geometric formulas and properties consult with a SLAC counselor. r. Square: Perimeter: P = 4s or 2s + 2s. Area: A = s2.

Algebraic Formula Sheet - Middle Georgia State University

Algebraic Formula Sheet Algebraic Formula Sheet Arithmetic Operations ac bc = c(a + b) ! a = bc c ad + bc = bd b b b a = c d d c ab + ac = b + c; a 6 = 0 ! ab = c ac = ! b b c ad bc = d bd + b a b = + c c c ! ad ! = bc Properties of Exponents xnxm = xn+m (xn)m = xnm (xy)n = xnyn n 1 m x m

Formula Sheet

1 Factoring Formulas

For any real numbersaandb,

(a+b)2=a2+ 2ab+b2Square of a Sum (ab)2=a22ab+b2Square of a Dierence a

2b2= (ab)(a+b) Dierence of Squares

3b3= (ab)(a2+ab+b2) Dierence of Cubes

3+b3= (a+b)(a2ab+b2) Sum of Cubes2 Exponentiation Rules

For any real numbersaandb, and any rational numberspq andrs a p=qar=s=ap=q+r=sProduct Rule =aps+qrqs a p=qa r=s=ap=qr=sQuotient Rule =apsqrqs (ap=q)r=s=apr=qsPower of a Power Rule (ab)p=q=ap=qbp=qPower of a Product Rule ab p=q=ap=qb p=qPower of a Quotient Rule a

0= 1 Zero Exponent

a p=q=1a p=qNegative Exponents 1a p=q=ap=qNegative ExponentsRemember, there are dierent notations: q pa=a1=q q pa p=ap=q= (a1=q)p1

3 Quadratic Formula

Finally, thequadratic formula: ifa,bandcare real numbers, then the quadratic polynomial equation ax

2+bx+c= 0 (3.1)

has (either one or two) solutions x=bpb

24ac2a(3.2)

4 Points and Lines

Given two points in the plane,

P= (x1;y1); Q= (x2;y2)

you can obtain the following information: 1. The distancebetween them,d(P;Q) =p(x2x1)2+ (y2y1)2. 2. The co ordinatesof the midpointbetween them,M=x1+x22 ;y1+y22 3.

The slopeof the line through them,m=y2y1x

2x1=riserun

Linescan be represented in three dierent ways:

Standard Formax+by=c

Slope-Intercept Formy=mx+b

Point-Slope Formyy1=m(xx1)

wherea;b;care real numbers,mis the slope,b(dierent from the standard formb) is they-intercept, and (x1;y1) isanyxed point on the line.

5 Circles

Acircle, sometimes denotedJ, is by denition the set of all pointsX:= (x;y) a xed distancer, called theradius, from another given pointC= (h;k), called thecenterof the circle, K def=fXjd(X;C) =rg(5.1) Using the distance formula and the square root property,d(X;C) =r()d(X;C)2=r2, we see that this is preciselyKdef=f(x;y)j(xh)2+ (yk)2=r2g(5.2) which gives the familiar equation for a circle. 2

6 Functions

IfAandBare subsets of the real numbersRandf:A!Bis a function, then theaverage rate of changeoffasxvaries betweenx1andx2is the quotient average rate of change = yx=y2y1x

2x1=f(x2)f(x1)x

2x1(6.1)

It's alinear approximationof the behavior offbetween the pointsx1andx2.

7 Quadratic Functions

Thequadratic function(aka the parabola function or the square function) f(x) =ax2+bx+c(7.1) can always be written in the form f(x) =a(xh)2+k(7.2) whereV= (h;k) is the coordinate of thevertexof the parabola, and further

V= (h;k) =

b2a;f b2a (7.3)

That ish=b2aandk=f(b2a).

8 Polynomial Division

Here are the theorems you need to know:

Theorem 8.1 (Division Algorithm)Letp(x)andd(x)be any two nonzero real polynomials. There there exist unique polynomialsq(x)andr(x)such that p(x) =d(x)q(x) +r(x) or p(x)d(x)=q(x) +r(x)d(x)where0deg(r(x))0> f(b) then there is at least one numberc,a < c < b, such thatf(c) = 0. That is,f(x)has a root in the interval(a;b). Theorem 8.4 (Remainder Theorem)If a real polynomialp(x)is divided by(xc)with the result that p(x) = (xc)q(x) +r (ris a number, i.e. a degree0polynomial, by the division algorithm mentioned above), then r=p(c)

9 Exponential and Logarithmic Functions

First, the all important correspondence

y=ax()loga(y) =x(9.1) which is merely a statement thataxand loga(y) are inverses of each other. Then, we have the rules these functions obey: For all real numbersxandy a x+y=axay(9.2) a xy=axa y(9.3) a

0= 1(9.4)

and for allpositivereal numbersMandN log a(MN) = loga(M) + loga(N)(9.5) log aMN = log a(M)loga(N)(9.6) log a(1) = 0(9.7) log a(MN) =Nloga(M)(9.8) 4quotesdbs_dbs11.pdfusesText_17

[PDF] all japan judo 2016

[PDF] all tenses exercises

[PDF] allèle définition svt

[PDF] allemagne vs algerie 1982

[PDF] allemand 3as algerie

[PDF] allemand cm2 exercices

[PDF] allemand lv2

[PDF] allemand lv2 troisieme

[PDF] allen family reunion 2007

[PDF] alliance francais rouen

[PDF] sujet bac philosophie 1989

[PDF] alliance française

[PDF] alliance francaise bordeaux

[PDF] alliance francaise lyon

[PDF] alliance française nantes

[PDF] Formula Sheet 1 Factoring Formulas 2 Exponentiation Rules