Analysis and Approaches for IBDP Maths Ebook 1 | Page 324

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Exercise 68
68.1 (d)
17
3
(e)
17
3
68.2 (b)
3
3
�
1
� �
4
1
�
� 3
4
3,
4 a
4
�
,
� 3
4
�3,
�
� � 4 a �
� �
� � � �
(c)
a 17
ln
4 2
(d)
a
ln 2
4
68.3 (b) (0,16)
(c) ( � 3,16)
(d) 81.75
(e) 81.75
68.4 (b) (0, � 4)
(c) 12
(d) (i) � 2
(ii) 24
Exercise 69
69.1 (a) (i)
1
4
(iii)
9
2
(iv) y� �4x�
18
(b)
58
3
69.2 (a) (i)
2
a
a �1
(iii) y�4x�
4
(b)
2
3
69.3 (a) (ii) � h
69.4 (a) (ii)
5
3h � h
70.2 (a) Refer to solution
(b)
1 3 2
v � � t � 2t � 2.1t
3
70.3 (a)
2
v�ln( t � 1)
(b) Refer to solution
70.4 (a)
2
s�sin( t ) � 1
(b) Refer to solution
Exercise 71
71.1 (a)
-1
64 ms
(b) 7
(c) 84.2 m
(d)
2
�3( t � 4)
(e) t � 4
71.2 (a)
1 4 3 2
s � � t � 4t �12t � 16t
2
(b) 6.57195 m
(c) 9.43 m
(d)
2
�6( t � 2)
(e) t � 2
71.3 (a) s�sin�t�
1
(b)
3
2 or 7 2
(c) 1�t
� 2 or 3�t
� 4
(d) 5
1 5 11 4 44 3
s � t � t � t
71.4 (a) 5 4 3
2
�38t
�48t
(b) 1.08 �t
� 2 or
2.61 �t
� 3.64
(c) (i) 3
(ii) 2
Exercise 70
70.1 (a) Refer to solution
(b) 4.88 m
316
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