Apps. and Interpretation for IBDP Maths Ebook 2 | Page 331

Answers
9.4
( a )
( i )
a ��
0.4
( ii )
b �
2
( b )
Exercise 10
N � e t �
2 0.4
10.1
( a )
2500
( b )
5290
( c )
15.5 years
( d )
1470
( e )
12
10.2
( a )
420
( b )
971
( c )
4.15 years
( d )
0.111
( e )
44
10.3
( a )
1050
( b )
37300
( c )
6.21 weeks
( d )
1.19
( e )
10
10.4
( a )
146
( b )
5.78 minutes
( c )
( i )
3.5
( ii )
0.130
( d )
32
Chapter 3
Exercise 11
11.1
( a )
r �
0.6
( b )
S10 ��
2240
( c ) S � �� 2250
11.2
( a )
1 r �
2
( b )
3 u6 � ln x
2
( c )
S
96ln x
� �
11.3 ( a ) ( b ) r � e �4x u
7
� ( c ) x � 6
12x
e �
�
11.4 ( a ) r � 3 x ( b )
( c )
Exercise 12
u n
� 3
( 11 �nx )
1 3
11
S �
� � 2
12.1
( a )
1 r � leads to a finite sum as
2
1 �1�
� 1.
2
( b )
S � �
40
12.2
( a )
1 r �� leads to a finite sum
3
1 as �1� �
� 1.
3
( b )
S4 �
120
12.3
( a )
S
� log2 x
( b )
63
S6
�
16
12.4
( a )
m ��
29
( b )
243
S �
�
4
Chapter 4
Exercise 13
13.1
( a )
12 cos� ��
13
( b )
5 tan� � �
12
13.2
( a )
5 cos� �
6
( b )
sin� ��
0.553
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