Apps. and Interpretation for IBDP Maths Ebook 2 | Page 346

Your Practice Set – Applications and Interpretation for IBDP Mathematics
47.3 ( a ) ( b )
( c )
47.4 ( a ) ( b )

�

2 3 6 f ( x) � 3 x ( x �1 ) dx
1 f x � ( � 1 ) �
7
1 3 7 f ( x) � ( x �1 ) � 2 7
3 7
( ) x C
x f ( x) �e
� C x f ( x) �e
� 1
4
4
50.3 ( a ) x �� 3, x � 3
( b )
y
�4
�
x
9
( c )
50.3
50.4
( a )
1 x�3� y
2
( b )
8
( c )
54.5
2 4
2
Exercise 48 Exercise 51
48.1
( a )
Refer to solution
( b )
4.88 m
48.2 ( a ) Refer to solution ( b )
48.3 ( a ) ( b )
48.4 ( a )
2.27 ms �1
2 v( t) � ln ( t �1 ) � C v t
2
( ) �ln ( t � 1 ) ( c ) Refer to solution
( b )
2 s( t) �sin ( t ) � C s t
2
( ) �sin ( t ) � 1 ( c ) Refer to solution
Exercise 49
49.1
( a )
0.5 and 1.5
( b )
0.637
49.2
( a )
1
( b )
0.368
49.3
( a )
�
0.637 and 0.637
( b )
0.814
49.4
( a )
4 , 7 and 10
( b )
40.5
Exercise 50
50.1
( a )
0.648
( b )
2.66
50.2
( a )
9.55
( b )
544
51.1 ( a ) ( i ) 0
( ii )
6 e �
2
( b )
3
( c )
81200
51.2
( a )
( i )
1
( ii )
2
2e
( b )
x �
7.39
( c )
284
51.3
( a )
( i )
1
( ii )
y ��
0.950
( b )
0
( c )
3.55
51.4
( a )
( i )
1
( ii )
19
( b )
x�2y�
2
( c )
3
( d )
168
Exercise 52
52.1
( a )
( i )
1 f�( a)
�
4
( ii )
a �
4
( iii )
9 b �
2
( iv )
y�
�4x�
18
( b )
35 6
336
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