Interactive practice questions
Consider the functions $x+y=2$x+y=2 and $y=x$y=x.
a
Graph the lines on the axes below.
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b
Find the area bounded between the two lines and the $x$x-axis.
Easy
2min
Find the area bounded between the two curves $y=\sqrt{x+5}$y=√x+5 and $y=-x-3$y=−x−3 and the $x$x-axis.
Easy
7min
The diagram shows the shaded region bounded by $y=4-x^2$y=4−x2, $y=1-x^2$y=1−x2 and the $x$x-axis.
Easy
3min
Find the exact area between the graph of $y=\sqrt{4-x^2}$y=√4−x2 and the lines $x=2$x=2 and $y=2$y=2.
Medium
1min
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