Cambridge International Mathematics

ANSWERS 733 11 fHHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THTH, TTHH, THHT, TTTH, TTHT, THTT, HTTT, TTTTg a 161 b^38 c 165 ...

734 ANSWERS EXERCISE 25K 1a 11 bi^2950 ii^1140 2a 307 b 157 3a^1225 b 253 c 257 d^1219 4a 251 b 8 days 5a^57 b^1314 c 141 d 235 ...

ANSWERS 735 eStart with 162 and then multiply each successive term by^13 : 2 ,^23. fStart with 405 and then multiply each succes ...

736 ANSWERS 5au 1 =3, u 2 =13, u 3 =34, u 4 =70, u 5 = 125, u 6 = 203,u 7 = 308 bun=^23 n^3 +^32 n^2 +^56 norun=n(n+ 1)(4n+5) 6 ...

ANSWERS 737 4aBbCD=90o,BbDC=45o bFroma, CBD=45o fangles in a triangleg ) ¢BCD is isosceles. cDbEF=65o 6 Hint: A, B, C and D lie ...

738 ANSWERS hi ii 3 iii y=1 8 If x=^12 , (¡2) (^12) p ¡ 2 which is undefined. 9aP=^400 5 t b M=^216 3 x EXERCISE 28C.1 1ax=1 bx= ...

ANSWERS 739 4a 0 b 26 c ¡^23 d¡^89 5 aFor y=2x:y-intercept 1 , horizontal asymptotey=0 For y=2x+2:y-intercept 3 , horizontal asy ...

740 ANSWERS EXERCISE 29D 1ax¼ 7 : 11 b x¼ 19 : 7 c x¼ 7 : 04 dx¼ 104 : 5 e x¼ 96 : 4 f x¼ 93 : 6 2a 27 : 5 cm b 4 : 15 km c 15 : ...

ANSWERS 741 8 We notice that: ²cos(x¡ 90 o) = sinxfas graphs coincideg ²y= cosx¡ 2 isy= cosxtranslated ¡ 0 ¡ 2 ¢ EXERCISE 29H 1a ...

742 ANSWERS 3ax¼ 21 : 8 oor 158 : 2 o b x¼ 132 : 3 oor 227 : 7 o c x¼ 12 : 6 o, 77 : 4 o, 192 : 6 o, 257 : 4 o dx¼ 76 : 0 o, 256 ...

ANSWERS 743 2bandc3ay=8 b x=0: 4 4ay=18 bx=12 5ainversely bdirectly cdirectly 6aM=1: 6 bt=0: 4 7aP=30 b g=1: 44 8a 20 units b 4 ...

744 ANSWERS k^12 l^32 m^13 n^52 o 2 p¡^52 q¡ 2 r 4 s ¡ 2 t¡^52 4alog 4 y=x b log 9 y=x c logay=x dlogp 3 y=x e log 2 y=x+1 f log ...

ANSWERS 745 REVIEW SET 31A 1a bA reflection in the line y=x cDomain is fxjx> 0 , x 2 Rg Range is fyjy 2 Rg 2alogaax=x bx= log ...

746 ANSWERS 3a b cd ef gh ij kl 4a b cd ef 5ay> 2 ,y 6 x,x+y 610 b x> 2 ,y 65 , y>^13 x, 5 x+6y 660 EXERCISE 32C 1a b 9 ...

ANSWERS 747 c 4 of A and 5 of B d 8 of A and 3 of B 5a No. Cost Hard x E 20 Soft y E 8 b ci 8 when 8 hard, 0 soft ii E 600 ( 20 ...

748 ANSWERS biun=9¡ 2 n iiun=n^3 iii un= n n+1 iv un=(n+1)^2 v un=3n¡^1 vi un=(n+1)^2 ¡ 3 n¡^1 c u 393 du 11 6b i¼ 147 o ii ¼ 33 ...

ANSWERS 749 26 a i ¼ 0 : 770 m^2 ii =2:704 592::::::¼ 2 : 705 m iii ¼ 1 : 83 m^2 iv ¼ 2 : 60 m^2 b¼ 31 : 5 m^2 c ¼ 37 :4% 27 a t ...

750 ANSWERS bi5(16¡11), 10(26¡16) iin([2n+6]¡[n+ 6]) =n^2 11 a n^210 ¡^1 ¡^2 A 49 16 1 4 25 B 125 27 1 ¡ 1 ¡ 27 C 256 16 0 16 25 ...

ANSWERS 751 5a bthe horizontal asymptote c 3 diB(t)= 20 £ 20 :^799 t 20 :^799 t+1 ii B(3)¼ 15 : 03 X iii 20 units iv Iftis very ...

absolute value adjacent angles adjacent side algebraic equation algebraic product alternate angles ambiguous case amplitude angl ...