Analysis and Approaches for IBDP Maths Ebook 2 | Page 267

Part II – Investigating the Quantity 2
Let
B
k
be the area bounded by the graph of f , the line x
Consider the rectangle ABCD .
� k and the line y � f ( k � 1) .
(h) (1) On the diagram, sketch and shade the region B
1.
(2) Find an inequality for B
1.
(3) Similarly, write down inequalities for B
2
and B
3
.
(4) Suggest an inequality for B
n
.
Part II Solution
(h) (1)
20
(2) B
1
is less than the area of the triangle ABC .
1
�0
� B1
�
4
1 1
(3) 0 � B2
� , 0 � B3
�
12 24
(4)
0 �
B n
1
�
2 nn ( �1)
www.seprodstore.com
257