Your Practice Set – Applications and Interpretation for IBDP Mathematics
Exercise 50
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1 . R is defined to be the region bounded by the curve
2� 5� x � , x � and the x -axis.
3 6
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y � |
� � � cos�x � � � 2 �
� � � sin �x � �
� 2 �
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and the lines |
( a ) Find the area of R .
R is rotated through 2π radians about the x -axis to form a solid .
( b ) Find the volume of the solid generated .
[ 2 ]
[ 2 ]
2 . R is defined to be the region bounded by the curve
x -axis and the y -axis . x� �e � y and the lines y � 0.75 , the
( a ) Find the area of R .
R is rotated through 2π radians about the y -axis to form a solid .
( b ) Find the volume of the solid generated .
[ 2 ]
[ 2 ]
3 . R is defined to be the region bounded by the curve
2 2 x y � � 1. 9 4
( a ) Write down the x -intercepts of the curve
( b ) Make
2
y the subject of
2 2 x y � � 1. 9 4
2 2 x y � � 1.
9 4
A rugby model is formed by rotating the region R through 2� about the x -axis .
( c ) Find the volume of the rugby model .
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[ 1 ]
[ 2 ]
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