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1 PhysicsAdMthsTuto.com

2 PhysicsAdMthsTuto.com Jue () Sketch the gph of y, whee >, showig the coodites of the poits whee the gph meets the es. () Leve lk () Solve, >. (c) Fid the set of vlues of fo which >, >. (6) (4) 0 *M3544A008*

3 PhysicsAdMthsTuto.com Jue 009 Questio 7 cotiued Leve lk *M3544A08* Tu ove

4 PhysicsAdMthsTuto.com Jue () Fid the set of vlues of fo which 4 > 3 (6) Leve lk () Deduce, o othewise fid, the vlues of fo which 4 > 3 () 6 *N35388A064*

5 PhysicsAdMthsTuto.com Jue 0. Fid the set of vlues of fo which Leve lk (7) *P3543A08*

6 PhysicsAdMthsTuto.com Jue 0. Fid the set of vlues of fo which Leve lk (5) *P4004A08*

7 PhysicsAdMthsTuto.com Jue 03 (R). Use lge to fid the set of vlues of fo which Leve lk 6 > 3 (7) 4 *P4955A043*

8 PhysicsAdMthsTuto.com Jue () Use lge to fid the ect solutios of the equtio Leve lk (6) () O the sme digm, sketch the cuve with equtio y 6 5 d the lie with equtio y 5, showig the -coodites of the poits whee the lie cosses the cuve. (3) (c) Fid the set of vlues of fo which 6 5 > 5 (3) 6 *P4349A068*

9 PhysicsAdMthsTuto.com Jue 03 Questio 6 cotiued Leve lk *P4349A078* 7 Tu ove

10 Futhe Pue Mthemtics FP Cdidtes sittig FP my lso equie those fomule listed ude Futhe Pue Mthemtics FP d Coe Mthemtics C C4. Ae of secto A dθ (pol coodites) Comple umes θ e i cosθ isiθ { (cosθ isiθ )} (cos θ isi θ ) k i e π The oots of z e give y z, fo k 0,,,, Mclui s d Tylo s Seies ( ) f( ) f(0) f (0) f (0) f (0)!! ( ) ( ) ( ) f( ) f( ) ( ) f ( ) f ( ) f ( )!! ( ) f( ) f( ) f ( ) f ( ) f ( )!! e ep( )!! 3 l ( ) ( ) 3 fo ll 3 5 si ( ) 3! 5! ( )! 4 cos ( )! 4! ()! 3 5 ct ( ) 3 5 ( < ) fo ll fo ll ( ) Edecel AS/A level Mthemtics Fomule List: Futhe Pue Mthemtics FP Issue Septeme 009 9

11 Futhe Pue Mthemtics FP Cdidtes sittig FP my lso equie those fomule listed ude Coe Mthemtics C d C. Summtios ( )( ) ( ) Numeicl solutio of equtios The Newto-Rphso itetio fo solvig f( ) 0 : f( ) f ( ) Coics Pol Rectgul Hypeol Stdd Fom y 4 y c Pmetic Fom (t, t) ct, c t Foci (, 0) Not equied Diectices Not equied Mti tsfomtios Aticlockwise ottio though θ out O: cosθ siθ siθ cosθ Reflectio i the lie cos θ si θ y (tθ ) : si θ cos θ I FP, θ will e multiple of Edecel AS/A level Mthemtics Fomule List: Futhe Pue Mthemtics FP Issue Septeme 009

12 Coe Mthemtics C4 Cdidtes sittig C4 my lso equie those fomule listed ude Coe Mthemtics C, C d C3. Itegtio ( costt) f() f( ) d sec k t cot t k k l sec l si cosec l cosec cot, l t( ) sec l sec t, l t( 4 π ) dv du u d uv v d d d Edecel AS/A level Mthemtics Fomule List: Coe Mthemtics C4 Issue Septeme 009 7

13 Coe Mthemtics C3 Cdidtes sittig C3 my lso equie those fomule listed ude Coe Mthemtics C d C. Logithms d epoetils e l Tigoometic idetities si ( A ± B) si Acos B ± cos Asi B cos( A ± B) cos Acos B si Asi B t A ± t B t ( A ± B) ( A ± B ( k ) t A t B A B A B si A si B si cos A B A B si A si B cos si A B A B cos A cos B cos cos A B A B cos A cos B si si π ) Diffeetitio f() t k sec cot cosec f( ) g( ) f () k sec k sec t cosec cosec cot f ( )g( ) f( )g ( ) (g( )) 6 Edecel AS/A level Mthemtics Fomule List: Coe Mthemtics C3 Issue Septeme 009

14 Edecel AS/A level Mthemtics Fomule List: Coe Mthemtics C Issue Septeme Coe Mthemtics C Cdidtes sittig C my lso equie those fomule listed ude Coe Mthemtics C. Cosie ule c c cos A Biomil seies ) ( ( ) whee )!!(! C <, ( ) ( ) ( ) ( ) ( ) Logithms d epoetils log log log Geometic seies u S ) ( S fo < Numeicl itegtio The tpezium ule: y d h{(y 0 y ) (y y... y )}, whee h

15 Coe Mthemtics C Mesutio Sufce e of sphee 4π Ae of cuved sufce of coe π slt height Aithmetic seies u ( )d S ( l) [ ( )d] 4 Edecel AS/A level Mthemtics Fomule List: Coe Mthemtics C Issue Septeme 009