Analysis and Approaches for IBDP Maths Ebook 2

Your Practice Set – Analysis and Approaches for IBDP Mathematics Exercise 53 53.1 (a) (b) 53.2 (a) 1 1 � � 6( x�2) 6( x�4) 1 1 � ln( x � 2) � ln( x � 4) � C 6 6 3 3 � � 5x 5( x� 5) (b) 3 6 � ln11� ln 6 5 5 53.3 (a) x �� 2, x �� 1 (b) 2 3 � � x�2 x�1 (c) �2ln7 �5ln6 � 3ln5 53.4 (a) 0 (b) 11 5 � � 8( x�5) 8( x�3) (c) Exercise 54 11 3 � ln17 � ln 9 8 4 54.1 Refer to solution 54.2 k � 12 54.3 (a) (b) 54.4 (a) (b) Chapter 13 Exercise 55 55.1 3 55.2 4 3e � 1 55.3 k � 2 55.4 k � 3 �x � 2x �8 � 9 �( x � 1) 2 2 Refer to solution 2 2 x �8x � 20 � ( x � 4) � 4 Refer to solution Exercise 56 56.1 2(3 � 3) � 3 56.2 � 2 4 ( 1) 2 e � � 56.3 Refer to solution 56.4 Refer to solution Exercise 57 57.1 (a) Refer to solution (b) Refer to solution (c) (i) �x: 0 � x� 2� � (ii) f ( x) � 4arccos x (d) 4� a � 3 57.2 (a) Refer to solution �1 1 (b) (i) �x :0� x � a� (ii) �1 2 1 f ( x) � a � 2 x (c) 2� 3 (d) Refer to solution 57.3 (a) Refer to solution (b) �1 x f ( x) � log 2 (c) 1 � � y��2ln 3�3 ln3 �x � � (d) Refer to solution 57.4 (a) Refer to solution (b) f 1 ( x) � 2 � (c) k � 1 (d) (e) 2 e � x k 1 ln 2 Refer to solution 3 282 SE Production Limited

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