Apps. and Interpretation for IBDP Maths Ebook 2 | Page 330

Your Practice Set – Applications and Interpretation for IBDP Mathematics
5.2
( a )
180 P
�
A
( b )
$ 2.4
( c )
The price of a tetrahedron model of a large surface area will approach $ 0 .
( d )
�
1
5.3
( a )
W �
18
l
( b )
441 g
( c )
Translate to the left by 3 units ,
followed by a vertical stretch of scale factor 2
5.4
( a )
6 f( x)
�
2 x
( b )
x �
0
( c )
24 gx ( )
�
2 ( x �
3 )
Chapter 2
Exercise 6
6.1 ( a )
1 1 log � log � � 3 25 40
( b )
7.5 ln e �ln e e �
6
6.2
( a )
log 0.8 � log1250 �
3
4 3 3
( b )
ln
e� ln e
� �
1
6.3
( a )
25 log112 � log � log 7 �
2
4
( b )
x �
9
6.4
( a )
1 ln ln 45 ln15
0 3 � �
�
7.1 ( a )
( b ) x � 11
Exercise 7 f
( x) � 10 x
�1 3
( b ) { y: y� 0 } ( c )
�1
( f g)( 10 ) � 1000000
7.2 ( a )
� f 1 ( x) � 0.25ln x ( b ) { x: x� 0 } ( c )
7.3 ( a )
1 ( g f � )( 16 ) � 1 f ( x) � e
�1 x�3
( b ) { y: y� 0 } ( c ) ( f g)( 2 ) � 0
7.4 ( a ) f ( x) � log x
3 ( b ) { y: y� }
( c )
Exercise 8
�1 1
2
( g f )( x) � 9x � 6x � 1
8.1
( a )
( i )
2 million
( ii )
5.85 million
( b )
{ B: 2
�B�
12 }
8.2
( a )
3 g
( b )
30th July
( c )
W �
27
8.3
( a )
C �
5
( b )
t �
24.6
( c )
P �
600000
8.4
( a )
$ 879000
( b )
t �
15.9
( c )
The value of the vase will approach $ 5000000 after a long period of time .
Exercise 9
9.1 ( a ) ln T �( ln k) x � ln h
( b )
( i )
h �
0.1827
( ii )
k �
1.0618
9.2
( a )
lnW �k ln x � ln h
( b )
k ��
5
( c )
h �
4.4817
9.3
( a )
b �
18
( b )
V
�
( c )
4.48
3x 18
e �
320
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