Analysis and Approaches for IBDP Maths Ebook 2 | Page 282

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Exercise 13
13.1 (a) a �� 1
(b) x � 0 , y � 1, z � 0
13.2 (a) a �� 14
(b) x �� 5, y � 8 , z � 0
13.3 (a) (i)
1
a � , b �� 1
3
(ii)
1
a �
3
(iii)
1
a � , b �� 1
3
(b) x � 2 , y � 2 , z �� 1
13.4 (a) (i) a � 1, b � 1
(ii) a � 1
(iii) a � 1, b � 1
(b) x�0.25 � 0.5t, y� t, z� t,
Chapter 4
Exercise 14
14.1 (a)
where t �
2 4 40
1 3 9 81
2 3
� x � x � x �
(b) 3
1.06 � 1.02
14.2 (a) b � 4
(b)
80
9
14.3 (a)
1 1 2 1 3
2 � x � x � x �
4 64 512
14.4 (a)
(b) 15 � 3.87
a a
3 108 23328
2
2
� x� x �
Exercise 15
15.1 (a)
2 3
1�9x �54x � 270x
�
(b)
3
0.97 � 1.10
15.2 (a) b �� 8
(b) 192
15.3 (a)
1 3 27 2 27 3
� x � x � x �
4 4 16 8
(b)
7
�
2
2.15
� � 1.51
15.4 (a)
2 � 1 2 �
� ��
� x
2 �
a � a a �
� 1 2 � 2
��
� x �
2 3 �
�a
a �
(b) (i) a � 3
(ii)
5
27
(c) �3� x � 3
Exercise 16
16.1 (a)
2 2
�
3(2 �x) 3(5 �x)
(b)
31
�
500
16.2 (a) 1 �
3
2
4 �x
(4 �x)
(b)
1
128
16.3 (a)
1 1 2
x� x �
2 12
(b) �3� x � 3
16.4 k � 1
(b) a � 108
(c)
3 3
� � x �
4 4
272
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