Apps. and Interpretation for IBDP Maths Ebook 2 | Page 347

www . seprodstore . com 337 Answers 52.2 ( a ) ( i ) 2 1 a a � ( ii ) 2 a � ( iii ) 4 4 y x � � ( b ) 2 3 52.3 ( a ) 1 ( ) 2 f h h � � ( b ) ( i ) 9 h � ( ii ) 1 3 6 2 y x � � ( iii ) 9 b �� ( c ) 9 52.4 ( a ) 2 ( ) 3 f h h � � ( b ) ( i ) 1 2 h �� ( ii ) 4 3 � ( iii ) 4 19 3 24 y x � � � ( iv ) 19 32 b �� ( c ) 0.0215 53.1 ( a ) -1 64 ms ( b ) 7 t � ( c ) 84.2 m ( d ) 2 ( ) 3 ( 4 ) a t t � � � ( e ) 4 8 t � � ( f ) 4 1 ( ) ( 4 ) 92 4 s t t � � � � 53.2 ( a ) 4 3 2 1 4 12 16 2 ^{t t t t � � � �} ( b ) 6.57195 m ( c ) 9.43 m ( d ) 2 ( ) 6 24 24 a t t t � � � � ( e ) 0 2 t � � 53.3 ( a ) ( i ) Refer to solution ( ii ) ( ) sin 1 s t t � � � ( b ) 7 2 t � ( c ) ( i ) 2 ( ) sin a t t � � �� ( ii ) 1 2 t � � or 3 4 t � � ( d ) 5 53.4 ( a ) 4 3 2 11 44 76 48 t t t t � � � � ( b ) 5 4 3 2 1 11 44 5 4 3 38 48 t t t t t � � � � ( c ) 0 2 t � � or 2.61 3.64 t � � ( d ) ( i ) 3 ( ii ) 2 Chapter 12 54.1 ( a ) 2 1 _{d sin d x t t} x � � � � � ( b ) ln cos x t C � � � � � ( c ) cos t x e ^{� � �} � 54.2 ( a ) 1 1 d d 2 3 y x y x � � � � ( b ) 1 ln ln ( 2 3 ) 2 y x C � � � ( c ) 1 _{ln ( 2 3 ) ln 4} 2 x y e � � � 54.3 ( a ) 3 1 2 3 ^{y x C � �} ( b ) ₃ 6 3 y x � � ( c ) 5 y � 54.4 ( a ) 2 1 2 x e C y ^{� �} ( b ) 1 2 12 x y e � � ( c ) 1 6 y � Exercise 53 Exercise 54