List MF19 PDF List of formulae and statistical

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

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 papers for the above syllabuses.

CST319

*2508709701* 2

PURE MATHEMATICS

Mensuration

Volume of sphere =

34
3 r

Surface area of sphere =

2 4r

Volume of cone or pyramid =

1 3 base area height××

Area of curved surface of cone =

slant heightr×

Arc length of circle

r= (in radians)

Area of sector of circle

21
2 r= (in radians)

Algebra

For the quadratic equation

0ax bx c++=:

2 4

2bb acxa±=

For an arithmetic series:

(1) n uand=+, 11 22
() {2(1)} n

Snalnand=+= +

For a geometric series:

1n n uar (1 ) (1)1 n n arSrr =z,

11aSrr

Binomial series:

12233
() 12 3 nn n n n n nn nab a ab a b ab b +=+ + + ++ K , where n is a positive integer and !( )!n n r rn r= 23
(1) (1)(2)(1 ) 12! 3! n nn nn nxnx x x+=++ + +K, where n is rational and 1x< 3

Trigonometry

sintancos T 22
cos sin 1+, 22

1tan sec+,

22
cot 1 cosec+ sin( ) sin cos cos sinAB A B A B±± cos( ) cos cos sin sinAB A B A B±m tan tantan( )1tantanABABAB±±m sin2 2sin cosAAA

22 2 2

cos2 cos sin 2cos 1 1 2sinAAA A A 2

2tantan21tanAAA

Principal values:

1 2 1 sinx 1 2 , 0 င 1 cosx 111
22
tanx S<<

Differentiation

f( )x f( )x n x 1n nx lnx 1 x e x e x sinx cosx cos x sinx tanx 2 secx secx sec tanxx cosec x cosec cotxx cotx 2 cosecx 1 tanx 2 1 1 x+ uv dd dduvvu xx u v 2 dd dduvvu xx v If f( )xt= and g( )yt= then ddd dddyyx xtt=÷ 4

Integration

(Arbitrary constants are omitted; a denotes a positive constant.) f( )x f( ) dxx n x 1 1 n x n (1)n 1 x lnx e x e x sinx cosx cos x sinx 2 secx tanx 22
1 xa+ 1 1tanx aa 22
1 xa

1ln2xa

axa ()xa> 22
1 ax

1ln2ax

aax+ xa< ddddddvuuxuvvx xx= f()dlnf()f( )x xxx=

Vectors

If 123
aaa=++aijk and 123
bbb=++bijk then

11 22 33

.cosab ab ab=+ +=ab a b 5

FURTHER PURE MATHEMATICS

Algebra

Summations:

1 2 1 (1) n r rnn 21
6 1 (1)(21) n r rnn n 32 21
4 1 (1) n r rnn

Maclaurin's series:

2 f( ) f(0) f (0) f (0) f (0)2! ! r r xxxxr=+ + ++ +KK 2 eexp()12! ! r x xxxxr==+++++KK (all x) 231
ln(1 ) ( 1)23 rr xx xxxr 35 21
sin ( 1)3! 5! (2 1)! r r xx xxxr =++++KK (all x) 24 2
cos 1 ( 1)2! 4! (2 )! r r xx xxr=+++

KK (all x)

35 211

tan ( 1)35 21 rr xx xxxr =++++KK (-1 င x င 1) 35 21
sinh3! 5! (2 1)! r xx xxxr =+ + + + ++KK (all x) 24 2
cosh 12! 4! (2 )! r xx xxr=+ + + + +

KK (all x)

35 211

tanh35 21 r xx xxxr =+ + + + ++KK (-1 < x < 1)

Trigonometry

If 1 2 tantx= then: 2

2sin1txt=+

and 2 2

1cos1txt

Hyperbolic functions

22
cosh sinh 1xx, sinh2 2sinh coshxxx, 22
cosh2 cosh sinhxxx+ 12 sinh ln 1()xxx 12 cosh ln 1()xxx =+ (x စ 1) 11 2

1tanh ln (| | 1)1xxxx

Differentiation

f( )x f( )x 1 sinx 2 1 1 x 1 cosx 2 1 1 x sinhx coshx coshx sinhx tanhx 2 sechx 1 sinhx 2 1 1 x+ 1 coshx 2 1 1x 1 tanhx 2 1 1 x

Integration

(Arbitrary constants are omitted; a denotes a positive constant.)quotesdbs_dbs12.pdfusesText_18

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[PDF] List MF19 List of formulae and statistical

List MF19

List of formulae and statistical tables

Cambridge International AS & A Level

Mathematics (9709) and Further Mathematics (9231)

CST319

PURE MATHEMATICS

Mensuration

Volume of sphere =

Surface area of sphere =

Volume of cone or pyramid =

Area of curved surface of cone =

Arc length of circle

Area of sector of circle

Algebra

For the quadratic equation

0ax bx c++=:

2bb acxa±=

For an arithmetic series:

Snalnand=+= +

For a geometric series:

11aSrr

Binomial series:

Trigonometry

1tan sec+,

22 2 2

2tantan21tanAAA

Principal values:

Differentiation

Integration

1ln2xa

1ln2ax

Vectors

11 22 33

FURTHER PURE MATHEMATICS

Algebra

Summations:

Maclaurin's series:

KK (all x)

35 211

KK (all x)

35 211

Trigonometry

2sin1txt=+

1cos1txt

Hyperbolic functions

1tanh ln (| | 1)1xxxx

Differentiation

Integration