Analysis and Approaches for IBDP Maths Ebook 1 | Page 314

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Chapter 4
Exercise 12
12.1 (a) 2
(b) 1
(c) � 3
12.2 (a) � 1
(b) 0
(c) � 3
12.3 (a) 4
(b) 8
12.4 (a) 0
(b) 49
Exercise 15
15.1 (a) 0.535
(b) (2.13, 3.54)
(c) Refer to solution
15.2 (a) x-intercept �� 1
y-intercept � 3
(b) ( � 0.325, 3.20)
(c) Refer to solution
15.3 (a) 3.66
(b) y �� 3
(c) Refer to solution
15.4 (a) (2.5, 3.05)
(b) x � 1.5
(c) Refer to solution
Exercise 13
13.1 (a) f
( x) � 5 x
�1 3
(b)
�
f
1 ( x) � 0
(c) 15625
13.2 (a)
�
f 1 ( x) � 0.25ln x
(b) x � 0
(c) 1
13.3 (a)
�1 x�3
f ( x)
� e
(b)
�
f
1 ( x) � 0
(c) 0
13.4 (a)
�1
1
f ( x) � log
2
x
3
(b)
�
f
1 ( x)
�
(c)
2
9x
�6x�
1
Exercise 14
Exercise 16
16.1 (a) 2500
(b) 5290
(c) 15.5
(d) 1470
(e) 12
16.2 (a) 420
(b) 971
(c) 4.15
(d) 0.111
(e) 44
16.3 (a) 1050
(b) 37300
(c) 6.21
(d) 1.19
(e) 10
16.4 (a) 146
(b) 5.78
(c) 0.130
(d) 32
14.1 1
14.2 � 1 or � 5
14.3 2
14.4 0�k
� 3
306
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